TSTP Solution File: ALG357-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG357-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 12:10:29 EDT 2022
% Result : Timeout 300.09s 300.81s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG357-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 8 16:31:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.91/1.30 *** allocated 10000 integers for termspace/termends
% 0.91/1.30 *** allocated 10000 integers for clauses
% 0.91/1.30 *** allocated 10000 integers for justifications
% 0.91/1.30 *** allocated 15000 integers for termspace/termends
% 0.91/1.30 *** allocated 22500 integers for termspace/termends
% 0.91/1.30 Bliksem 1.12
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 Automatic Strategy Selection
% 0.91/1.30
% 0.91/1.30 Clauses:
% 0.91/1.30 [
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.30 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.91/1.30 , X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Y, X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , Z, X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , Z, X ), X ) ],
% 0.91/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.91/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.30 ), X ), Y ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.91/1.30 , 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.91/1.30 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.30 Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.30 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.30 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.30 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.91/1.30 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.30 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.30 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.30 X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.91/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.91/1.30 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.30 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.30 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.91/1.30 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.30 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.30 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.30 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.91/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.91/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.91/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.30 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.30 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.91/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.91/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.91/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.30 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.91/1.30 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.30 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.91/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.30 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.91/1.30 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.91/1.30 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.91/1.30 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.91/1.31 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.31 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.31 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.31 , X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.31 , X ), Z, X ) ) ],
% 0.91/1.31 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.91/1.31 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.31 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.91/1.31 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.91/1.31 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.91/1.31 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.31 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.31 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.91/1.31 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.91/1.31 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.91/1.31 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.31 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.91/1.31 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.31 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.91/1.31 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.91/1.31 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.31 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.91/1.31 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.91/1.31 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.91/1.31 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.91/1.31 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.91/1.31 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.91/1.31 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.91/1.31 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.91/1.31 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.91/1.31 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.31 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31 ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31 ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.31 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.91/1.31 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 0.91/1.31 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.91/1.31 X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.31 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.31 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.91/1.31 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.31 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.91/1.31 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.91/1.31 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.91/1.31 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.91/1.31 , 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.91/1.31 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.91/1.31 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.91/1.31 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.91/1.31 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ), 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.91/1.31 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.91/1.31 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.91/1.31 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.91/1.31 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.91/1.31 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.91/1.31 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.31 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.91/1.31 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.91/1.31 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.31 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.31 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.31 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.31 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.91/1.31 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.31 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.91/1.31 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.31 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.91/1.31 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.31 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.91/1.31 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.31 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.91/1.31 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.91/1.31 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.91/1.31 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.91/1.31 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.31 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.91/1.31 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.31 Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.31 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.91/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.91/1.31 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.91/1.31 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.91/1.31 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.91/1.31 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.91/1.31 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.31 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.91/1.31 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.91/1.31 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.91/1.31 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.91/1.31 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.91/1.31 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ =( 'c_Power_Opower__class_Opower'( 'c_RealVector_Oof__real'( X,
% 0.91/1.31 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.91/1.31 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.91/1.31 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.91/1.31 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( X, 'c_RealVector_Oof__real'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31 ), Y, X ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.31 X ) ) ), =( Y, T ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.91/1.31 X ) ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.91/1.31 X ) ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ), =( Z, Y ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.91/1.31 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.91/1.31 =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.31 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'v_na____', 'tc_nat' ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'c_Complex_Oii', 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.91/1.31 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'(
% 0.91/1.31 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'v_b', 'tc_Complex_Ocomplex' ), 'c_Complex_Oii'
% 0.91/1.31 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.91/1.31 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.91/1.31 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'( X, 'v_na____',
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.91/1.31 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.91/1.31 ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.91/1.31 ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.91/1.31 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.91/1.31 ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.91/1.31 ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.91/1.31 ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ] .
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31 percentage equality = 0.165614, percentage horn = 0.830688
% 0.91/1.31 This is a problem with some equality
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31 Options Used:
% 0.91/1.31
% 0.91/1.31 useres = 1
% 0.91/1.31 useparamod = 1
% 0.91/1.31 useeqrefl = 1
% 0.91/1.31 useeqfact = 1
% 0.91/1.31 usefactor = 1
% 0.91/1.31 usesimpsplitting = 0
% 0.91/1.31 usesimpdemod = 5
% 0.91/1.31 usesimpres = 3
% 0.91/1.31
% 0.91/1.31 resimpinuse = 1000
% 0.91/1.31 resimpclauses = 20000
% 0.91/1.31 substype = eqrewr
% 0.91/1.31 backwardsubs = 1
% 0.91/1.31 selectoldest = 5
% 0.91/1.31
% 0.91/1.31 litorderings [0] = split
% 0.91/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.31
% 0.91/1.31 termordering = kbo
% 0.91/1.31
% 0.91/1.31 litapriori = 0
% 0.91/1.31 termapriori = 1
% 0.91/1.31 litaposteriori = 0
% 0.91/1.31 termaposteriori = 0
% 0.91/1.31 demodaposteriori = 0
% 0.91/1.31 ordereqreflfact = 0
% 0.91/1.31
% 0.91/1.31 litselect = negord
% 0.91/1.31
% 0.91/1.31 maxweight = 15
% 0.91/1.31 maxdepth = 30000
% 0.91/1.31 maxlength = 115
% 0.91/1.31 maxnrvars = 195
% 0.91/1.31 excuselevel = 1
% 0.91/1.31 increasemaxweight = 1
% 0.91/1.31
% 0.91/1.31 maxselected = 10000000
% 0.91/1.31 maxnrclauses = 10000000
% 0.91/1.31
% 0.91/1.31 showgenerated = 0
% 0.91/1.31 showkept = 0
% 0.91/1.31 showselected = 0
% 0.91/1.31 showdeleted = 0
% 0.91/1.31 showresimp = 1
% 0.91/1.31 showstatus = 2000
% 0.91/1.31
% 0.91/1.31 prologoutput = 1
% 0.91/1.31 nrgoals = 5000000
% 0.91/1.31 totalproof = 1
% 1.49/1.89
% 1.49/1.89 Symbols occurring in the translation:
% 1.49/1.89
% 1.49/1.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.49/1.89 . [1, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.49/1.89 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 1.49/1.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.49/1.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Olordered__ring' [40, 1] (w:1, o:52, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.49/1.89 'c_HOL_Oabs__class_Oabs' [44, 2] (w:1, o:143, a:1, s:1, b:0),
% 1.49/1.89 'c_lessequals' [45, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Osemiring__0' [46, 1] (w:1, o:55, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_Power_Opower' [47, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.49/1.89 'c_HOL_Ozero__class_Ozero' [48, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.49/1.89 'c_Suc' [50, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.49/1.89 'c_Power_Opower__class_Opower' [51, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.49/1.89 'class_OrderedGroup_Opordered__ab__group__add__abs' [52, 1] (w:1, o:
% 1.49/1.89 56, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Oordered__semiring__strict' [53, 1] (w:1, o:
% 1.49/1.89 85, a:1, s:1, b:0),
% 1.49/1.89 'c_HOL_Oord__class_Oless' [56, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Oordered__field' [57, 1] (w:1, o:86, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_Ring__and__Field_Odivision__by__zero' [58, 1] (w:1, o:89, a:1
% 1.49/1.89 , s:1, b:0),
% 1.49/1.89 'c_HOL_Oinverse__class_Odivide' [59, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.49/1.89
% 1.49/1.89 'class_Ring__and__Field_Ocomm__semiring__1' [60, 1] (w:1, o:87, a:1
% 1.49/1.89 , s:1, b:0),
% 1.49/1.89 'c_Ring__and__Field_Odvd__class_Odvd' [61, 3] (w:1, o:154, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_Ring__and__Field_Odvd' [62, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.49/1.89 'tc_nat' [64, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Oordered__idom' [65, 1] (w:1, o:91, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_Ring__and__Field_Odivision__ring' [66, 1] (w:1, o:92, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'c_HOL_Oinverse__class_Oinverse' [67, 2] (w:1, o:144, a:1, s:1, b:0)
% 1.49/1.89 ,
% 1.49/1.89 'tc_RealDef_Oreal' [69, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.49/1.89 'c_NthRoot_Osqrt' [70, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.49/1.89 'class_OrderedGroup_Omonoid__mult' [71, 1] (w:1, o:59, a:1, s:1, b:0)
% 1.49/1.89 ,
% 1.49/1.89 'class_OrderedGroup_Opordered__comm__monoid__add' [73, 1] (w:1, o:60
% 1.49/1.89 , a:1, s:1, b:0),
% 1.49/1.89 'c_HOL_Oplus__class_Oplus' [74, 3] (w:1, o:155, a:1, s:1, b:0),
% 1.49/1.89 'class_RealVector_Oreal__algebra__1' [76, 1] (w:1, o:94, a:1, s:1, b:
% 1.49/1.89 0),
% 1.49/1.89 'c_RealVector_OscaleR__class_OscaleR' [78, 3] (w:1, o:156, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'c_RealVector_Oof__real' [79, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Ozero__neq__one' [80, 1] (w:1, o:95, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_Ring__and__Field_Ono__zero__divisors' [81, 1] (w:1, o:83, a:1
% 1.49/1.89 , s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Omult__zero' [82, 1] (w:1, o:80, a:1, s:1, b:
% 1.49/1.89 0),
% 1.49/1.89 'class_Ring__and__Field_Oordered__semidom' [83, 1] (w:1, o:96, a:1
% 1.49/1.89 , s:1, b:0),
% 1.49/1.89 'c_HOL_Oone__class_Oone' [84, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Oordered__ring__strict' [85, 1] (w:1, o:84
% 1.49/1.89 , a:1, s:1, b:0),
% 1.49/1.89 'class_RealVector_Oreal__normed__vector' [86, 1] (w:1, o:98, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_RealVector_Oreal__vector' [87, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.49/1.89
% 1.49/1.89 'c_HOL_Osgn__class_Osgn' [91, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Ofield' [92, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.49/1.89
% 1.49/1.89 'class_Ring__and__Field_Oordered__comm__semiring__strict' [93, 1] (w:
% 1.49/1.89 1, o:101, a:1, s:1, b:0),
% 1.49/1.89 'class_Ring__and__Field_Oidom' [94, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.49/1.89 'class_Orderings_Oorder' [95, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.49/1.89 'class_Orderings_Opreorder' [97, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.49/1.89 'c_RealVector_Onorm__class_Onorm' [99, 2] (w:1, o:145, a:1, s:1, b:0)
% 1.49/1.89 ,
% 1.49/1.89 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [100, 1]
% 1.49/1.89 (w:1, o:63, a:1, s:1, b:0),
% 1.49/1.89 'class_OrderedGroup_Ocomm__monoid__add' [101, 1] (w:1, o:64, a:1, s:1
% 1.49/1.89 , b:0),
% 1.49/1.89 'class_Ring__and__Field_Oordered__semiring' [102, 1] (w:1, o:103, a:1
% 1.49/1.89 , s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Oring__no__zero__divisors' [103, 1] (w:1, o:
% 14.39/14.74 53, a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Olordered__ab__group__add__abs' [108, 1] (w:1, o:
% 14.39/14.74 57, a:1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Opordered__ring__abs' [111, 1] (w:1, o:104
% 14.39/14.74 , a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Oab__semigroup__idem__mult' [112, 1] (w:1, o:65
% 14.39/14.74 , a:1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Omult__mono1' [113, 1] (w:1, o:81, a:1, s:1
% 14.39/14.74 , b:0),
% 14.39/14.74 'class_Ring__and__Field_Omult__mono' [114, 1] (w:1, o:82, a:1, s:1
% 14.39/14.74 , b:0),
% 14.39/14.74 'class_Ring__and__Field_Opordered__ring' [115, 1] (w:1, o:105, a:1
% 14.39/14.74 , s:1, b:0),
% 14.39/14.74 'class_Int_Onumber__ring' [116, 1] (w:1, o:106, a:1, s:1, b:0),
% 14.39/14.74 'class_Orderings_Olinorder' [117, 1] (w:1, o:66, a:1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Osgn__if' [118, 1] (w:1, o:107, a:1, s:1, b:0
% 14.39/14.74 ),
% 14.39/14.74 'class_OrderedGroup_Opordered__ab__group__add' [119, 1] (w:1, o:67
% 14.39/14.74 , a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Opordered__ab__semigroup__add' [121, 1] (w:1, o:
% 14.39/14.74 68, a:1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Ocomm__semiring' [122, 1] (w:1, o:88, a:1, s:
% 14.39/14.74 1, b:0),
% 14.39/14.74 'class_RealVector_Oreal__normed__algebra' [123, 1] (w:1, o:108, a:1
% 14.39/14.74 , s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Olordered__ab__group__add' [126, 1] (w:1, o:58
% 14.39/14.74 , a:1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Osemiring' [127, 1] (w:1, o:109, a:1, s:1, b:
% 14.39/14.74 0),
% 14.39/14.74 'class_OrderedGroup_Omonoid__add' [129, 1] (w:1, o:69, a:1, s:1, b:0)
% 14.39/14.74 ,
% 14.39/14.74 'class_Ring__and__Field_Opordered__cancel__semiring' [130, 1] (w:1
% 14.39/14.74 , o:110, a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Oab__semigroup__mult' [131, 1] (w:1, o:70, a:1
% 14.39/14.74 , s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Opordered__semiring' [132, 1] (w:1, o:111, a:
% 14.39/14.74 1, s:1, b:0),
% 14.39/14.74 'class_RealVector_Oreal__algebra' [133, 1] (w:1, o:112, a:1, s:1, b:0
% 14.39/14.74 ),
% 14.39/14.74 'class_OrderedGroup_Ocomm__monoid__mult' [135, 1] (w:1, o:71, a:1, s:
% 14.39/14.74 1, b:0),
% 14.39/14.74 'class_RealVector_Oreal__normed__algebra__1' [136, 1] (w:1, o:113, a:
% 14.39/14.74 1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Oring__1__no__zero__divisors' [137, 1] (w:1
% 14.39/14.74 , o:54, a:1, s:1, b:0),
% 14.39/14.74 'class_RealVector_Oreal__normed__field' [138, 1] (w:1, o:114, a:1, s:
% 14.39/14.74 1, b:0),
% 14.39/14.74 'class_RealVector_Oreal__field' [139, 1] (w:1, o:115, a:1, s:1, b:0)
% 14.39/14.74 ,
% 14.39/14.74 'v_na____' [141, 0] (w:1, o:40, a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [142, 1]
% 14.39/14.74 (w:1, o:72, a:1, s:1, b:0),
% 14.39/14.74 'class_Ring__and__Field_Oabs__if' [144, 1] (w:1, o:116, a:1, s:1, b:0
% 14.39/14.74 ),
% 14.39/14.74 'class_RealVector_Oreal__normed__div__algebra' [145, 1] (w:1, o:117
% 14.39/14.74 , a:1, s:1, b:0),
% 14.39/14.74 'tc_Complex_Ocomplex' [147, 0] (w:1, o:42, a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Oab__group__add' [149, 1] (w:1, o:73, a:1, s:1
% 14.39/14.74 , b:0),
% 14.39/14.74 'class_OrderedGroup_Ocancel__semigroup__add' [151, 1] (w:1, o:74, a:1
% 14.39/14.74 , s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Ocancel__ab__semigroup__add' [152, 1] (w:1, o:75
% 14.39/14.74 , a:1, s:1, b:0),
% 14.39/14.74 'v_b' [153, 0] (w:1, o:45, a:1, s:1, b:0),
% 14.39/14.74 'class_OrderedGroup_Oab__semigroup__add' [154, 1] (w:1, o:76, a:1, s:
% 14.39/14.74 1, b:0),
% 14.39/14.74 'c_Parity_Oeven__odd__class_Oeven' [155, 2] (w:1, o:148, a:1, s:1, b:
% 14.39/14.74 0),
% 14.39/14.74 'c_Complex_Oii' [156, 0] (w:1, o:46, a:1, s:1, b:0),
% 14.39/14.74 'c_HOL_Ominus__class_Ominus' [157, 3] (w:1, o:157, a:1, s:1, b:0).
% 14.39/14.74
% 14.39/14.74
% 14.39/14.74 Starting Search:
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74
% 14.39/14.74 Intermediate Status:
% 14.39/14.74 Generated: 4024
% 14.39/14.74 Kept: 2332
% 14.39/14.74 Inuse: 184
% 14.39/14.74 Deleted: 2
% 14.39/14.74 Deletedinuse: 0
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74
% 14.39/14.74 Intermediate Status:
% 14.39/14.74 Generated: 9746
% 14.39/14.74 Kept: 4338
% 14.39/14.74 Inuse: 259
% 14.39/14.74 Deleted: 2
% 14.39/14.74 Deletedinuse: 0
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74
% 14.39/14.74 Intermediate Status:
% 14.39/14.74 Generated: 17867
% 14.39/14.74 Kept: 6390
% 14.39/14.74 Inuse: 322
% 14.39/14.74 Deleted: 4
% 14.39/14.74 Deletedinuse: 0
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74
% 14.39/14.74 Intermediate Status:
% 14.39/14.74 Generated: 24895
% 14.39/14.74 Kept: 8414
% 14.39/14.74 Inuse: 377
% 14.39/14.74 Deleted: 4
% 14.39/14.74 Deletedinuse: 0
% 14.39/14.74
% 14.39/14.74 Resimplifying inuse:
% 14.39/14.74 Done
% 14.39/14.74
% 14.39/14.74
% 14.39/14.74 Intermediate Status:
% 14.39/14.74 Generated: 33273
% 14.39/14.74 Kept: 10798
% 54.35/54.75 Inuse: 417
% 54.35/54.75 Deleted: 4
% 54.35/54.75 Deletedinuse: 0
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 40352
% 54.35/54.75 Kept: 12903
% 54.35/54.75 Inuse: 485
% 54.35/54.75 Deleted: 6
% 54.35/54.75 Deletedinuse: 0
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 48924
% 54.35/54.75 Kept: 14911
% 54.35/54.75 Inuse: 520
% 54.35/54.75 Deleted: 7
% 54.35/54.75 Deletedinuse: 0
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 60093
% 54.35/54.75 Kept: 16979
% 54.35/54.75 Inuse: 529
% 54.35/54.75 Deleted: 7
% 54.35/54.75 Deletedinuse: 0
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 70887
% 54.35/54.75 Kept: 19371
% 54.35/54.75 Inuse: 594
% 54.35/54.75 Deleted: 12
% 54.35/54.75 Deletedinuse: 0
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying clauses:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 81496
% 54.35/54.75 Kept: 21385
% 54.35/54.75 Inuse: 619
% 54.35/54.75 Deleted: 271
% 54.35/54.75 Deletedinuse: 0
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 92314
% 54.35/54.75 Kept: 23470
% 54.35/54.75 Inuse: 653
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 102875
% 54.35/54.75 Kept: 25573
% 54.35/54.75 Inuse: 688
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 113212
% 54.35/54.75 Kept: 27660
% 54.35/54.75 Inuse: 723
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 123627
% 54.35/54.75 Kept: 29710
% 54.35/54.75 Inuse: 763
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 144010
% 54.35/54.75 Kept: 32443
% 54.35/54.75 Inuse: 783
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 157943
% 54.35/54.75 Kept: 35490
% 54.35/54.75 Inuse: 803
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 195826
% 54.35/54.75 Kept: 38049
% 54.35/54.75 Inuse: 823
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 206971
% 54.35/54.75 Kept: 40063
% 54.35/54.75 Inuse: 842
% 54.35/54.75 Deleted: 272
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying clauses:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 216963
% 54.35/54.75 Kept: 42481
% 54.35/54.75 Inuse: 844
% 54.35/54.75 Deleted: 537
% 54.35/54.75 Deletedinuse: 1
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 229472
% 54.35/54.75 Kept: 44484
% 54.35/54.75 Inuse: 885
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 243514
% 54.35/54.75 Kept: 46979
% 54.35/54.75 Inuse: 903
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 257426
% 54.35/54.75 Kept: 49201
% 54.35/54.75 Inuse: 933
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 281840
% 54.35/54.75 Kept: 51346
% 54.35/54.75 Inuse: 943
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 296931
% 54.35/54.75 Kept: 53346
% 54.35/54.75 Inuse: 988
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 309864
% 54.35/54.75 Kept: 55684
% 54.35/54.75 Inuse: 1013
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 321845
% 54.35/54.75 Kept: 57749
% 54.35/54.75 Inuse: 1033
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 336679
% 54.35/54.75 Kept: 59751
% 54.35/54.75 Inuse: 1083
% 54.35/54.75 Deleted: 544
% 54.35/54.75 Deletedinuse: 8
% 54.35/54.75
% 54.35/54.75 Resimplifying clauses:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 347015
% 54.35/54.75 Kept: 61771
% 54.35/54.75 Inuse: 1095
% 54.35/54.75 Deleted: 1659
% 54.35/54.75 Deletedinuse: 9
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 54.35/54.75 Generated: 360305
% 54.35/54.75 Kept: 64104
% 54.35/54.75 Inuse: 1118
% 54.35/54.75 Deleted: 1659
% 54.35/54.75 Deletedinuse: 9
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75 Resimplifying inuse:
% 54.35/54.75 Done
% 54.35/54.75
% 54.35/54.75
% 54.35/54.75 Intermediate Status:
% 100.03/100.42 Generated: 370076
% 100.03/100.42 Kept: 66116
% 100.03/100.42 Inuse: 1141
% 100.03/100.42 Deleted: 1659
% 100.03/100.42 Deletedinuse: 9
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 381055
% 100.03/100.42 Kept: 68130
% 100.03/100.42 Inuse: 1167
% 100.03/100.42 Deleted: 1659
% 100.03/100.42 Deletedinuse: 9
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 394542
% 100.03/100.42 Kept: 70391
% 100.03/100.42 Inuse: 1193
% 100.03/100.42 Deleted: 1659
% 100.03/100.42 Deletedinuse: 9
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 405007
% 100.03/100.42 Kept: 72434
% 100.03/100.42 Inuse: 1215
% 100.03/100.42 Deleted: 1662
% 100.03/100.42 Deletedinuse: 9
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 419420
% 100.03/100.42 Kept: 74439
% 100.03/100.42 Inuse: 1244
% 100.03/100.42 Deleted: 1662
% 100.03/100.42 Deletedinuse: 9
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 436439
% 100.03/100.42 Kept: 77731
% 100.03/100.42 Inuse: 1269
% 100.03/100.42 Deleted: 1662
% 100.03/100.42 Deletedinuse: 9
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 450496
% 100.03/100.42 Kept: 79945
% 100.03/100.42 Inuse: 1305
% 100.03/100.42 Deleted: 1663
% 100.03/100.42 Deletedinuse: 10
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying clauses:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 468140
% 100.03/100.42 Kept: 82876
% 100.03/100.42 Inuse: 1319
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 481792
% 100.03/100.42 Kept: 85025
% 100.03/100.42 Inuse: 1329
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 506589
% 100.03/100.42 Kept: 87121
% 100.03/100.42 Inuse: 1354
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 538001
% 100.03/100.42 Kept: 90640
% 100.03/100.42 Inuse: 1374
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 553017
% 100.03/100.42 Kept: 92926
% 100.03/100.42 Inuse: 1409
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 584768
% 100.03/100.42 Kept: 96356
% 100.03/100.42 Inuse: 1429
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 593965
% 100.03/100.42 Kept: 99209
% 100.03/100.42 Inuse: 1434
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 609709
% 100.03/100.42 Kept: 101698
% 100.03/100.42 Inuse: 1449
% 100.03/100.42 Deleted: 2432
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying clauses:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 615784
% 100.03/100.42 Kept: 103728
% 100.03/100.42 Inuse: 1450
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 626500
% 100.03/100.42 Kept: 105728
% 100.03/100.42 Inuse: 1469
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 650613
% 100.03/100.42 Kept: 108109
% 100.03/100.42 Inuse: 1474
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 679573
% 100.03/100.42 Kept: 111252
% 100.03/100.42 Inuse: 1504
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 695537
% 100.03/100.42 Kept: 113641
% 100.03/100.42 Inuse: 1519
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 709262
% 100.03/100.42 Kept: 115920
% 100.03/100.42 Inuse: 1544
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 727108
% 100.03/100.42 Kept: 120068
% 100.03/100.42 Inuse: 1564
% 100.03/100.42 Deleted: 2712
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying clauses:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 750700
% 100.03/100.42 Kept: 123806
% 100.03/100.42 Inuse: 1594
% 100.03/100.42 Deleted: 4332
% 100.03/100.42 Deletedinuse: 13
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 766715
% 100.03/100.42 Kept: 127090
% 100.03/100.42 Inuse: 1615
% 100.03/100.42 Deleted: 4335
% 100.03/100.42 Deletedinuse: 16
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42 Resimplifying inuse:
% 100.03/100.42 Done
% 100.03/100.42
% 100.03/100.42
% 100.03/100.42 Intermediate Status:
% 100.03/100.42 Generated: 778492
% 278.87/279.60 Kept: 129357
% 278.87/279.60 Inuse: 1634
% 278.87/279.60 Deleted: 4335
% 278.87/279.60 Deletedinuse: 16
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 793857
% 278.87/279.60 Kept: 131438
% 278.87/279.60 Inuse: 1669
% 278.87/279.60 Deleted: 4335
% 278.87/279.60 Deletedinuse: 16
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 811229
% 278.87/279.60 Kept: 133893
% 278.87/279.60 Inuse: 1694
% 278.87/279.60 Deleted: 4335
% 278.87/279.60 Deletedinuse: 16
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 842961
% 278.87/279.60 Kept: 136765
% 278.87/279.60 Inuse: 1699
% 278.87/279.60 Deleted: 4336
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 865987
% 278.87/279.60 Kept: 138807
% 278.87/279.60 Inuse: 1714
% 278.87/279.60 Deleted: 4336
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 879512
% 278.87/279.60 Kept: 140937
% 278.87/279.60 Inuse: 1744
% 278.87/279.60 Deleted: 4336
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 892940
% 278.87/279.60 Kept: 143364
% 278.87/279.60 Inuse: 1754
% 278.87/279.60 Deleted: 4336
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying clauses:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 907117
% 278.87/279.60 Kept: 145373
% 278.87/279.60 Inuse: 1765
% 278.87/279.60 Deleted: 5214
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 927099
% 278.87/279.60 Kept: 147379
% 278.87/279.60 Inuse: 1807
% 278.87/279.60 Deleted: 5214
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 945883
% 278.87/279.60 Kept: 150161
% 278.87/279.60 Inuse: 1813
% 278.87/279.60 Deleted: 5214
% 278.87/279.60 Deletedinuse: 17
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 957303
% 278.87/279.60 Kept: 152483
% 278.87/279.60 Inuse: 1824
% 278.87/279.60 Deleted: 5734
% 278.87/279.60 Deletedinuse: 537
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 966076
% 278.87/279.60 Kept: 154563
% 278.87/279.60 Inuse: 1829
% 278.87/279.60 Deleted: 5734
% 278.87/279.60 Deletedinuse: 537
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 974659
% 278.87/279.60 Kept: 157377
% 278.87/279.60 Inuse: 1839
% 278.87/279.60 Deleted: 5734
% 278.87/279.60 Deletedinuse: 537
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 984571
% 278.87/279.60 Kept: 159489
% 278.87/279.60 Inuse: 1849
% 278.87/279.60 Deleted: 5738
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 997213
% 278.87/279.60 Kept: 161886
% 278.87/279.60 Inuse: 1859
% 278.87/279.60 Deleted: 5738
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying clauses:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1005955
% 278.87/279.60 Kept: 164305
% 278.87/279.60 Inuse: 1878
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1013227
% 278.87/279.60 Kept: 166326
% 278.87/279.60 Inuse: 1894
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1021771
% 278.87/279.60 Kept: 168591
% 278.87/279.60 Inuse: 1919
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1028600
% 278.87/279.60 Kept: 170613
% 278.87/279.60 Inuse: 1941
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1037770
% 278.87/279.60 Kept: 173176
% 278.87/279.60 Inuse: 1959
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1046056
% 278.87/279.60 Kept: 175181
% 278.87/279.60 Inuse: 1980
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1057933
% 278.87/279.60 Kept: 177602
% 278.87/279.60 Inuse: 1999
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1069270
% 278.87/279.60 Kept: 179634
% 278.87/279.60 Inuse: 2014
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1080507
% 278.87/279.60 Kept: 181717
% 278.87/279.60 Inuse: 2034
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60
% 278.87/279.60 Intermediate Status:
% 278.87/279.60 Generated: 1087766
% 278.87/279.60 Kept: 183755
% 278.87/279.60 Inuse: 2049
% 278.87/279.60 Deleted: 23967
% 278.87/279.60 Deletedinuse: 541
% 278.87/279.60
% 278.87/279.60 Resimplifying inuse:
% 278.87/279.60 Done
% 278.87/279.60
% 278.87/279.60 ResimplifCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------