TSTP Solution File: ALG352-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG352-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 12:10:27 EDT 2022
% Result : Timeout 300.04s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG352-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 9 02:27:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.99/1.34 *** allocated 10000 integers for termspace/termends
% 0.99/1.34 *** allocated 10000 integers for clauses
% 0.99/1.34 *** allocated 10000 integers for justifications
% 0.99/1.34 *** allocated 15000 integers for termspace/termends
% 0.99/1.34 *** allocated 22500 integers for termspace/termends
% 0.99/1.34 Bliksem 1.12
% 0.99/1.34
% 0.99/1.34
% 0.99/1.34 Automatic Strategy Selection
% 0.99/1.34
% 0.99/1.34 Clauses:
% 0.99/1.34 [
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.34 ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.34 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.34 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.99/1.34 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.99/1.34 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.34 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.34 ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.99/1.34 , X ) ) ), =( Y, Z ) ],
% 0.99/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.99/1.34 , X ) ) ), =( Y, Z ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.34 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.34 Z, T, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.99/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.99/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.99/1.34 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.34 ), X ) ],
% 0.99/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.99/1.34 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.34 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.34 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.99/1.34 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.99/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.99/1.34 ) ) ],
% 0.99/1.34 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.99/1.34 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.99/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.99/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.99/1.34 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.34 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ),
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ),
% 0.99/1.34 'tc_RealDef_Oreal' ) ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.99/1.34 ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.34 Z, T, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.34 ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.34 ) ],
% 0.99/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.99/1.34 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.34 ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.34 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.34 , T, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.34 , Z, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.34 , T, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.99/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.34 , Z, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.34 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.99/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.99/1.34 ,
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.34 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.99/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.34 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.99/1.34 ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.99/1.34 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.34 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.34 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.99/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.99/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.99/1.34 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.99/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.99/1.35 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.99/1.35 =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.99/1.35 , X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.99/1.35 , X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.99/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.35 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.99/1.35 ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.35 ), X ), Y ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.99/1.35 , 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.35 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.35 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.99/1.35 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.35 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.35 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.99/1.35 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.35 , T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.99/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.99/1.35 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.99/1.35 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.35 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.99/1.35 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.99/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 , Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.99/1.35 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.99/1.35 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.99/1.35 , Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.99/1.35 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.99/1.35 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.99/1.35 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.99/1.35 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.35 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.35 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.99/1.35 X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.99/1.35 Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.99/1.35 Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.35 X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.99/1.35 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.35 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.99/1.35 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.35 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.99/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.99/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.99/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.35 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.35 Y, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.35 Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.35 [ =( 'c_Complex_OIm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.99/1.35 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_OIm'( X
% 0.99/1.35 ), 'c_Complex_OIm'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.99/1.35 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.99/1.35 T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.35 X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.99/1.35 T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.35 T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.99/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.99/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 Y, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.99/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.99/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.99/1.35 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.99/1.35 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.35 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 0.99/1.35 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.99/1.35 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.99/1.35 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.35 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, T, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.35 ), Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.35 ), Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.35 ), Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.99/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.99/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.99/1.35 , X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.35 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.35 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.35 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.35 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.35 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.35 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.35 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.35 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, T, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.35 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, T, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Complex_ORe'( 'c_Complex_Oii' ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( X
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.99/1.35 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.35 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.35 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.35 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.35 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.35 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.99/1.35 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.99/1.35 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.99/1.35 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.99/1.35 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Complex_OIm'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), Y ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.99/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.99/1.35 'c_Complex_Ocomplex_OComplex'( Z, T ), 'tc_Complex_Ocomplex' ),
% 0.99/1.35 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oplus__class_Oplus'( X, Z,
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.99/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.99/1.35 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.35 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.99/1.35 Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.35 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.99/1.35 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.99/1.35 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.99/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.35 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.99/1.35 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.99/1.35 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.99/1.35 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.35 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.99/1.35 , X ), W, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.35 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.99/1.35 , X ), T, X ), W, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.99/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.99/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.99/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.99/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.99/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.35 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.99/1.35 , 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.99/1.35 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.35 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.99/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.35 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.35 ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.99/1.35 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.99/1.35 [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.99/1.35 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 0.99/1.35 'c_Complex_Oii' ) ],
% 0.99/1.35 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 0.99/1.35 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 0.99/1.35 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.35 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , Z, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.35 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , Z, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.35 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.35 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , T, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.35 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , T, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.35 Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.35 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.35 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.35 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.35 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.35 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.35 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.35 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.35 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.99/1.35 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), ~( =(
% 0.99/1.35 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.99/1.35 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.99/1.35 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.35 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.99/1.35 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.99/1.35 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.35 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.99/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ),
% 0.99/1.35 'c_Complex_OIm'( X ) ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.99/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.35 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.35 Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.99/1.35 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.35 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.35 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.99/1.35 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.35 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.99/1.35 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 0.99/1.35 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.35 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.35 , T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , Y, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.35 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.35 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 Y, X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.35 [ =( 'c_Complex_OIm'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.99/1.35 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.99/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.35 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.99/1.35 ), Y, X ) ), =( Z, T ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.99/1.35 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.99/1.35 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.35 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.99/1.35 , X ), W, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.35 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.35 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.35 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.99/1.35 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.99/1.35 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.99/1.35 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.99/1.35 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 0.99/1.35 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.99/1.35 ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.99/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( Y
% 0.99/1.35 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ =( 'c_Complex_OIm'( 'c_Complex_Oii' ), 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ =( 'c_Complex_ORe'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.99/1.35 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ =( 'c_RealVector_Odist__class_Odist'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.99/1.35 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.99/1.35 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.99/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.99/1.35 , X ), W, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.99/1.35 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.99/1.35 W, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.99/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.99/1.35 , X ), T, X ), W, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.99/1.35 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.99/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.99/1.35 W, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.99/1.35 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.99/1.35 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ =( 'c_RealVector_Onorm__class_Onorm'( 'v_z', 'tc_Complex_Ocomplex' ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.99/1.35 ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.35 X ) ) ), =( Y, T ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.99/1.35 X ) ) ), =( Z, T ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.99/1.35 X ) ) ), =( Z, T ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.99/1.35 X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.35 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.35 ), =( Z, Y ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.99/1.35 ), Y ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.35 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.35 , T, X ) ) ), =( Z, T ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , T, X ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.35 , U, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.99/1.35 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 Z, Y, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.99/1.35 ), Y ) ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'v_z', 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.99/1.35 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'v_z', 'c_HOL_Oone__class_Oone'(
% 0.99/1.35 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.99/1.35 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.99/1.35 'c_HOL_Oplus__class_Oplus'( 'v_z', 'c_Complex_Oii', 'tc_Complex_Ocomplex'
% 0.99/1.35 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 0.99/1.35 ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( 'v_z', 'c_Complex_Oii',
% 0.99/1.35 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.99/1.35 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.99/1.35 ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.99/1.35 ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.99/1.35 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.99/1.35 ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.99/1.35 ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.99/1.35 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.99/1.35 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.99/1.35 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.99/1.35 ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.35 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.35 ] .
% 0.99/1.35
% 0.99/1.35
% 0.99/1.35 percentage equality = 0.182220, percentage horn = 0.853129
% 0.99/1.35 This is a problem with some equality
% 0.99/1.35
% 0.99/1.35
% 0.99/1.35
% 0.99/1.35 Options Used:
% 0.99/1.35
% 0.99/1.35 useres = 1
% 0.99/1.35 useparamod = 1
% 0.99/1.35 useeqrefl = 1
% 0.99/1.35 useeqfact = 1
% 0.99/1.35 usefactor = 1
% 0.99/1.35 usesimpsplitting = 0
% 0.99/1.35 usesimpdemod = 5
% 0.99/1.35 usesimpres = 3
% 0.99/1.35
% 0.99/1.35 resimpinuse = 1000
% 0.99/1.35 resimpclauses = 20000
% 0.99/1.35 substype = eqrewr
% 0.99/1.35 backwardsubs = 1
% 0.99/1.35 selectoldest = 5
% 0.99/1.35
% 0.99/1.35 litorderings [0] = split
% 0.99/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.99/1.35
% 0.99/1.35 termordering = kbo
% 0.99/1.35
% 0.99/1.35 litapriori = 0
% 0.99/1.35 termapriori = 1
% 0.99/1.35 litaposteriori = 0
% 0.99/1.35 termaposteriori = 0
% 0.99/1.35 demodaposteriori = 0
% 0.99/1.35 ordereqreflfact = 0
% 0.99/1.35
% 0.99/1.35 litselect = negord
% 0.99/1.35
% 0.99/1.35 maxweight = 15
% 0.99/1.35 maxdepth = 30000
% 0.99/1.35 maxlength = 115
% 0.99/1.35 maxnrvars = 195
% 0.99/1.35 excuselevel = 1
% 0.99/1.35 increasemaxweight = 1
% 0.99/1.35
% 0.99/1.35 maxselected = 10000000
% 0.99/1.35 maxnrclauses = 10000000
% 0.99/1.35
% 0.99/1.35 showgenerated = 0
% 0.99/1.35 showkept = 0
% 0.99/1.35 showselected = 0
% 0.99/1.35 showdeleted = 0
% 0.99/1.35 showresimp = 1
% 0.99/1.35 showstatus = 2000
% 0.99/1.35
% 0.99/1.35 prologoutput = 1
% 0.99/1.35 nrgoals = 5000000
% 1.60/1.94 totalproof = 1
% 1.60/1.94
% 1.60/1.94 Symbols occurring in the translation:
% 1.60/1.94
% 1.60/1.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.60/1.94 . [1, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.60/1.94 ! [4, 1] (w:0, o:45, a:1, s:1, b:0),
% 1.60/1.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.60/1.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:50, a:1
% 1.60/1.94 , s:1, b:0),
% 1.60/1.94 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oordered__field' [46, 1] (w:1, o:55, a:1, s:1
% 1.60/1.94 , b:0),
% 1.60/1.94 'class_Ring__and__Field_Odivision__by__zero' [47, 1] (w:1, o:57, a:1
% 1.60/1.94 , s:1, b:0),
% 1.60/1.94 'c_HOL_Oinverse__class_Oinverse' [49, 2] (w:1, o:143, a:1, s:1, b:0)
% 1.60/1.94 ,
% 1.60/1.94 'c_HOL_Oone__class_Oone' [50, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.60/1.94 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.60/1.94 'c_HOL_Ozero__class_Ozero' [52, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.60/1.94 'c_lessequals' [53, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.60/1.94 'class_OrderedGroup_Opordered__ab__group__add__abs' [54, 1] (w:1, o:
% 1.60/1.94 61, a:1, s:1, b:0),
% 1.60/1.94 'c_HOL_Oabs__class_Oabs' [56, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.60/1.94 'c_HOL_Oinverse__class_Odivide' [58, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.60/1.94
% 1.60/1.94 'class_Ring__and__Field_Ofield' [59, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.60/1.94 'class_OrderedGroup_Olordered__ab__group__add__abs' [61, 1] (w:1, o:
% 1.60/1.94 63, a:1, s:1, b:0),
% 1.60/1.94 'c_HOL_Oplus__class_Oplus' [62, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.60/1.94 'c_NthRoot_Osqrt' [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.60/1.94 'tc_RealDef_Oreal' [64, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.60/1.94 'class_OrderedGroup_Ogroup__add' [65, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.60/1.94
% 1.60/1.94 'c_HOL_Ouminus__class_Ouminus' [66, 2] (w:1, o:145, a:1, s:1, b:0),
% 1.60/1.94 'class_Lattices_Oboolean__algebra' [67, 1] (w:1, o:66, a:1, s:1, b:0)
% 1.60/1.94 ,
% 1.60/1.94 'c_Power_Opower__class_Opower' [70, 3] (w:1, o:154, a:1, s:1, b:0),
% 1.60/1.94 'class_Orderings_Oorder' [71, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oordered__idom' [72, 1] (w:1, o:68, a:1, s:1
% 1.60/1.94 , b:0),
% 1.60/1.94 'class_Ring__and__Field_Opordered__ring__abs' [73, 1] (w:1, o:74, a:1
% 1.60/1.94 , s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oordered__ring__strict' [74, 1] (w:1, o:69
% 1.60/1.94 , a:1, s:1, b:0),
% 1.60/1.94 'class_RealVector_Oreal__algebra__1' [75, 1] (w:1, o:75, a:1, s:1, b:
% 1.60/1.94 0),
% 1.60/1.94 'c_RealVector_Oof__real' [76, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.60/1.94 'class_RealVector_Oreal__normed__vector' [77, 1] (w:1, o:76, a:1, s:1
% 1.60/1.94 , b:0),
% 1.60/1.94 'class_RealVector_Ometric__space' [78, 1] (w:1, o:77, a:1, s:1, b:0)
% 1.60/1.94 ,
% 1.60/1.94 'c_RealVector_Odist__class_Odist' [79, 3] (w:1, o:155, a:1, s:1, b:0)
% 1.60/1.94 ,
% 1.60/1.94 'tc_Complex_Ocomplex' [80, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.60/1.94 'c_Complex_ORe' [81, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.60/1.94 'c_Complex_OIm' [82, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.60/1.94 'c_Complex_Ocomplex_OComplex' [83, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oordered__semidom' [84, 1] (w:1, o:70, a:1
% 1.60/1.94 , s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oordered__semiring__strict' [85, 1] (w:1, o:
% 1.60/1.94 71, a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oring__no__zero__divisors' [86, 1] (w:1, o:80
% 1.60/1.94 , a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Ono__zero__divisors' [87, 1] (w:1, o:54, a:1
% 1.60/1.94 , s:1, b:0),
% 1.60/1.94 'class_OrderedGroup_Opordered__comm__monoid__add' [88, 1] (w:1, o:81
% 1.60/1.94 , a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oabs__if' [89, 1] (w:1, o:82, a:1, s:1, b:0)
% 1.60/1.94 ,
% 1.60/1.94 'class_Orderings_Olinorder' [90, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oidom' [91, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Oordered__semiring' [92, 1] (w:1, o:72, a:1
% 1.60/1.94 , s:1, b:0),
% 1.60/1.94 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [94, 1]
% 1.60/1.94 (w:1, o:85, a:1, s:1, b:0),
% 1.60/1.94 'class_OrderedGroup_Ocomm__monoid__add' [95, 1] (w:1, o:86, a:1, s:1
% 1.60/1.94 , b:0),
% 1.60/1.94 'c_RealVector_Onorm__class_Onorm' [96, 2] (w:1, o:146, a:1, s:1, b:0)
% 1.60/1.94 ,
% 1.60/1.94 'class_OrderedGroup_Opordered__ab__group__add' [97, 1] (w:1, o:87, a:
% 1.60/1.94 1, s:1, b:0),
% 1.60/1.94 'class_Ring__and__Field_Olordered__ring' [98, 1] (w:1, o:88, a:1, s:1
% 13.34/13.67 , b:0),
% 13.34/13.67 'class_Int_Onumber__ring' [100, 1] (w:1, o:89, a:1, s:1, b:0),
% 13.34/13.67 'c_HOL_Ominus__class_Ominus' [102, 3] (w:1, o:156, a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Odivision__ring' [103, 1] (w:1, o:90, a:1, s:
% 13.34/13.67 1, b:0),
% 13.34/13.67 'class_RealVector_Oreal__normed__field' [104, 1] (w:1, o:91, a:1, s:1
% 13.34/13.67 , b:0),
% 13.34/13.67 'class_OrderedGroup_Oab__group__add' [105, 1] (w:1, o:92, a:1, s:1
% 13.34/13.67 , b:0),
% 13.34/13.67 'class_Ring__and__Field_Oring' [106, 1] (w:1, o:93, a:1, s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Olordered__ab__group__add' [107, 1] (w:1, o:94
% 13.34/13.67 , a:1, s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Oab__semigroup__idem__mult' [108, 1] (w:1, o:95
% 13.34/13.67 , a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Ozero__neq__one' [109, 1] (w:1, o:96, a:1, s:
% 13.34/13.67 1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Omult__zero' [110, 1] (w:1, o:51, a:1, s:1
% 13.34/13.67 , b:0),
% 13.34/13.67 'class_Power_Opower' [111, 1] (w:1, o:107, a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Oring__1__no__zero__divisors' [112, 1] (w:1
% 13.34/13.67 , o:108, a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Omult__mono1' [118, 1] (w:1, o:52, a:1, s:1
% 13.34/13.67 , b:0),
% 13.34/13.67 'class_Ring__and__Field_Omult__mono' [119, 1] (w:1, o:53, a:1, s:1
% 13.34/13.67 , b:0),
% 13.34/13.67 'class_Ring__and__Field_Opordered__ring' [120, 1] (w:1, o:109, a:1
% 13.34/13.67 , s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Ocomm__monoid__mult' [123, 1] (w:1, o:97, a:1, s:
% 13.34/13.67 1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Opordered__cancel__semiring' [124, 1] (w:1
% 13.34/13.67 , o:110, a:1, s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Oab__semigroup__mult' [125, 1] (w:1, o:98, a:1
% 13.34/13.67 , s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Oordered__ab__group__add' [126, 1] (w:1, o:60, a:
% 13.34/13.67 1, s:1, b:0),
% 13.34/13.67 'class_RealVector_Oreal__normed__algebra' [127, 1] (w:1, o:111, a:1
% 13.34/13.67 , s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Oordered__comm__semiring__strict' [129, 1]
% 13.34/13.67 (w:1, o:73, a:1, s:1, b:0),
% 13.34/13.67 'class_Orderings_Opreorder' [130, 1] (w:1, o:99, a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Opordered__semiring' [131, 1] (w:1, o:112, a:
% 13.34/13.67 1, s:1, b:0),
% 13.34/13.67 'c_Complex_Oii' [132, 0] (w:1, o:39, a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Oring__1' [133, 1] (w:1, o:113, a:1, s:1, b:0
% 13.34/13.67 ),
% 13.34/13.67 'class_OrderedGroup_Omonoid__mult' [134, 1] (w:1, o:100, a:1, s:1, b:
% 13.34/13.67 0),
% 13.34/13.67 'class_OrderedGroup_Opordered__ab__semigroup__add' [135, 1] (w:1, o:
% 13.34/13.67 101, a:1, s:1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Ocomm__semiring' [137, 1] (w:1, o:56, a:1, s:
% 13.34/13.67 1, b:0),
% 13.34/13.67 'class_Ring__and__Field_Osemiring' [141, 1] (w:1, o:114, a:1, s:1, b:
% 13.34/13.67 0),
% 13.34/13.67 'class_OrderedGroup_Omonoid__add' [143, 1] (w:1, o:102, a:1, s:1, b:0
% 13.34/13.67 ),
% 13.34/13.67 'class_RealVector_Oreal__field' [144, 1] (w:1, o:115, a:1, s:1, b:0)
% 13.34/13.67 ,
% 13.34/13.67 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [147, 1]
% 13.34/13.67 (w:1, o:103, a:1, s:1, b:0),
% 13.34/13.67 'class_RealVector_Odist__norm' [148, 1] (w:1, o:116, a:1, s:1, b:0),
% 13.34/13.67
% 13.34/13.67 'v_z' [150, 0] (w:1, o:42, a:1, s:1, b:0),
% 13.34/13.67 'class_RealVector_Oreal__normed__algebra__1' [152, 1] (w:1, o:117, a:
% 13.34/13.67 1, s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Ocancel__semigroup__add' [153, 1] (w:1, o:104, a:
% 13.34/13.67 1, s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Ocancel__ab__semigroup__add' [154, 1] (w:1, o:105
% 13.34/13.67 , a:1, s:1, b:0),
% 13.34/13.67 'class_OrderedGroup_Oab__semigroup__add' [155, 1] (w:1, o:106, a:1
% 13.34/13.67 , s:1, b:0),
% 13.34/13.67 'tc_nat' [156, 0] (w:1, o:44, a:1, s:1, b:0).
% 13.34/13.67
% 13.34/13.67
% 13.34/13.67 Starting Search:
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67
% 13.34/13.67 Intermediate Status:
% 13.34/13.67 Generated: 3894
% 13.34/13.67 Kept: 2017
% 13.34/13.67 Inuse: 126
% 13.34/13.67 Deleted: 5
% 13.34/13.67 Deletedinuse: 0
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67
% 13.34/13.67 Intermediate Status:
% 13.34/13.67 Generated: 10370
% 13.34/13.67 Kept: 4022
% 13.34/13.67 Inuse: 180
% 13.34/13.67 Deleted: 6
% 13.34/13.67 Deletedinuse: 0
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67
% 13.34/13.67 Intermediate Status:
% 13.34/13.67 Generated: 18987
% 13.34/13.67 Kept: 6028
% 13.34/13.67 Inuse: 231
% 13.34/13.67 Deleted: 6
% 13.34/13.67 Deletedinuse: 0
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67
% 13.34/13.67 Intermediate Status:
% 13.34/13.67 Generated: 28551
% 13.34/13.67 Kept: 8183
% 13.34/13.67 Inuse: 299
% 13.34/13.67 Deleted: 7
% 13.34/13.67 Deletedinuse: 0
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67 Resimplifying inuse:
% 13.34/13.67 Done
% 13.34/13.67
% 13.34/13.67
% 13.34/13.67 Intermediate Status:
% 50.39/50.77 Generated: 38264
% 50.39/50.77 Kept: 10225
% 50.39/50.77 Inuse: 365
% 50.39/50.77 Deleted: 7
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 46062
% 50.39/50.77 Kept: 12281
% 50.39/50.77 Inuse: 413
% 50.39/50.77 Deleted: 8
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 56609
% 50.39/50.77 Kept: 14705
% 50.39/50.77 Inuse: 458
% 50.39/50.77 Deleted: 8
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 67744
% 50.39/50.77 Kept: 17240
% 50.39/50.77 Inuse: 521
% 50.39/50.77 Deleted: 10
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 78576
% 50.39/50.77 Kept: 19244
% 50.39/50.77 Inuse: 574
% 50.39/50.77 Deleted: 11
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying clauses:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 87060
% 50.39/50.77 Kept: 21246
% 50.39/50.77 Inuse: 599
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 96567
% 50.39/50.77 Kept: 23413
% 50.39/50.77 Inuse: 625
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 112476
% 50.39/50.77 Kept: 25574
% 50.39/50.77 Inuse: 650
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 124146
% 50.39/50.77 Kept: 28622
% 50.39/50.77 Inuse: 660
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 132087
% 50.39/50.77 Kept: 31017
% 50.39/50.77 Inuse: 665
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 140467
% 50.39/50.77 Kept: 33041
% 50.39/50.77 Inuse: 696
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 158831
% 50.39/50.77 Kept: 35158
% 50.39/50.77 Inuse: 705
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 170787
% 50.39/50.77 Kept: 37480
% 50.39/50.77 Inuse: 714
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 178182
% 50.39/50.77 Kept: 39481
% 50.39/50.77 Inuse: 740
% 50.39/50.77 Deleted: 224
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying clauses:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 185971
% 50.39/50.77 Kept: 41506
% 50.39/50.77 Inuse: 770
% 50.39/50.77 Deleted: 741
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 225620
% 50.39/50.77 Kept: 44727
% 50.39/50.77 Inuse: 785
% 50.39/50.77 Deleted: 741
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 234032
% 50.39/50.77 Kept: 46732
% 50.39/50.77 Inuse: 825
% 50.39/50.77 Deleted: 741
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 255193
% 50.39/50.77 Kept: 50208
% 50.39/50.77 Inuse: 855
% 50.39/50.77 Deleted: 741
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 266261
% 50.39/50.77 Kept: 52221
% 50.39/50.77 Inuse: 896
% 50.39/50.77 Deleted: 741
% 50.39/50.77 Deletedinuse: 0
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 280959
% 50.39/50.77 Kept: 55483
% 50.39/50.77 Inuse: 934
% 50.39/50.77 Deleted: 745
% 50.39/50.77 Deletedinuse: 3
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 299973
% 50.39/50.77 Kept: 57533
% 50.39/50.77 Inuse: 944
% 50.39/50.77 Deleted: 745
% 50.39/50.77 Deletedinuse: 3
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 315613
% 50.39/50.77 Kept: 60306
% 50.39/50.77 Inuse: 969
% 50.39/50.77 Deleted: 745
% 50.39/50.77 Deletedinuse: 3
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying clauses:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 325801
% 50.39/50.77 Kept: 62327
% 50.39/50.77 Inuse: 989
% 50.39/50.77 Deleted: 1141
% 50.39/50.77 Deletedinuse: 3
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 335502
% 50.39/50.77 Kept: 64616
% 50.39/50.77 Inuse: 999
% 50.39/50.77 Deleted: 1141
% 50.39/50.77 Deletedinuse: 3
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 346771
% 50.39/50.77 Kept: 66761
% 50.39/50.77 Inuse: 1039
% 50.39/50.77 Deleted: 1141
% 50.39/50.77 Deletedinuse: 3
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77 Resimplifying inuse:
% 50.39/50.77 Done
% 50.39/50.77
% 50.39/50.77
% 50.39/50.77 Intermediate Status:
% 50.39/50.77 Generated: 368201
% 108.91/109.30 Kept: 69046
% 108.91/109.30 Inuse: 1066
% 108.91/109.30 Deleted: 1141
% 108.91/109.30 Deletedinuse: 3
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 377531
% 108.91/109.30 Kept: 71132
% 108.91/109.30 Inuse: 1087
% 108.91/109.30 Deleted: 1143
% 108.91/109.30 Deletedinuse: 3
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 388199
% 108.91/109.30 Kept: 73188
% 108.91/109.30 Inuse: 1109
% 108.91/109.30 Deleted: 1148
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 399799
% 108.91/109.30 Kept: 76481
% 108.91/109.30 Inuse: 1120
% 108.91/109.30 Deleted: 1148
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 409349
% 108.91/109.30 Kept: 78503
% 108.91/109.30 Inuse: 1139
% 108.91/109.30 Deleted: 1148
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 420698
% 108.91/109.30 Kept: 80756
% 108.91/109.30 Inuse: 1172
% 108.91/109.30 Deleted: 1148
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying clauses:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 429767
% 108.91/109.30 Kept: 82767
% 108.91/109.30 Inuse: 1199
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 445047
% 108.91/109.30 Kept: 86036
% 108.91/109.30 Inuse: 1217
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 455488
% 108.91/109.30 Kept: 88063
% 108.91/109.30 Inuse: 1222
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 466769
% 108.91/109.30 Kept: 90085
% 108.91/109.30 Inuse: 1255
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 475391
% 108.91/109.30 Kept: 92128
% 108.91/109.30 Inuse: 1277
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 488808
% 108.91/109.30 Kept: 94741
% 108.91/109.30 Inuse: 1297
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 501108
% 108.91/109.30 Kept: 96948
% 108.91/109.30 Inuse: 1312
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 511781
% 108.91/109.30 Kept: 99142
% 108.91/109.30 Inuse: 1337
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 528612
% 108.91/109.30 Kept: 101334
% 108.91/109.30 Inuse: 1357
% 108.91/109.30 Deleted: 1919
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying clauses:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 541278
% 108.91/109.30 Kept: 103403
% 108.91/109.30 Inuse: 1377
% 108.91/109.30 Deleted: 2141
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 553087
% 108.91/109.30 Kept: 105489
% 108.91/109.30 Inuse: 1397
% 108.91/109.30 Deleted: 2141
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 567381
% 108.91/109.30 Kept: 109452
% 108.91/109.30 Inuse: 1412
% 108.91/109.30 Deleted: 2141
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 598211
% 108.91/109.30 Kept: 112896
% 108.91/109.30 Inuse: 1427
% 108.91/109.30 Deleted: 2141
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 643964
% 108.91/109.30 Kept: 117118
% 108.91/109.30 Inuse: 1447
% 108.91/109.30 Deleted: 2141
% 108.91/109.30 Deletedinuse: 8
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 663095
% 108.91/109.30 Kept: 119431
% 108.91/109.30 Inuse: 1472
% 108.91/109.30 Deleted: 2142
% 108.91/109.30 Deletedinuse: 9
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 678670
% 108.91/109.30 Kept: 121736
% 108.91/109.30 Inuse: 1502
% 108.91/109.30 Deleted: 2142
% 108.91/109.30 Deletedinuse: 9
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying clauses:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 712030
% 108.91/109.30 Kept: 125389
% 108.91/109.30 Inuse: 1522
% 108.91/109.30 Deleted: 2448
% 108.91/109.30 Deletedinuse: 11
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30
% 108.91/109.30 Intermediate Status:
% 108.91/109.30 Generated: 724744
% 108.91/109.30 Kept: 127441
% 108.91/109.30 Inuse: 1532
% 108.91/109.30 Deleted: 2448
% 108.91/109.30 Deletedinuse: 11
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 108.91/109.30 Done
% 108.91/109.30
% 108.91/109.30 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 735150
% 206.00/206.42 Kept: 129766
% 206.00/206.42 Inuse: 1552
% 206.00/206.42 Deleted: 2448
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 754157
% 206.00/206.42 Kept: 132762
% 206.00/206.42 Inuse: 1577
% 206.00/206.42 Deleted: 2448
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 774297
% 206.00/206.42 Kept: 135385
% 206.00/206.42 Inuse: 1587
% 206.00/206.42 Deleted: 2448
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 783708
% 206.00/206.42 Kept: 137471
% 206.00/206.42 Inuse: 1607
% 206.00/206.42 Deleted: 2448
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 796016
% 206.00/206.42 Kept: 139491
% 206.00/206.42 Inuse: 1637
% 206.00/206.42 Deleted: 2448
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 806882
% 206.00/206.42 Kept: 142455
% 206.00/206.42 Inuse: 1642
% 206.00/206.42 Deleted: 2448
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying clauses:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 821603
% 206.00/206.42 Kept: 146835
% 206.00/206.42 Inuse: 1650
% 206.00/206.42 Deleted: 3781
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 829354
% 206.00/206.42 Kept: 148923
% 206.00/206.42 Inuse: 1667
% 206.00/206.42 Deleted: 3781
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 839473
% 206.00/206.42 Kept: 151190
% 206.00/206.42 Inuse: 1692
% 206.00/206.42 Deleted: 3781
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 853412
% 206.00/206.42 Kept: 154031
% 206.00/206.42 Inuse: 1707
% 206.00/206.42 Deleted: 3781
% 206.00/206.42 Deletedinuse: 11
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 864548
% 206.00/206.42 Kept: 156329
% 206.00/206.42 Inuse: 1727
% 206.00/206.42 Deleted: 3783
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 874297
% 206.00/206.42 Kept: 158447
% 206.00/206.42 Inuse: 1747
% 206.00/206.42 Deleted: 3783
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 881768
% 206.00/206.42 Kept: 160468
% 206.00/206.42 Inuse: 1763
% 206.00/206.42 Deleted: 3783
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 891233
% 206.00/206.42 Kept: 162495
% 206.00/206.42 Inuse: 1782
% 206.00/206.42 Deleted: 3783
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying clauses:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 938363
% 206.00/206.42 Kept: 166386
% 206.00/206.42 Inuse: 1797
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 950620
% 206.00/206.42 Kept: 168452
% 206.00/206.42 Inuse: 1822
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 962314
% 206.00/206.42 Kept: 170689
% 206.00/206.42 Inuse: 1847
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 980103
% 206.00/206.42 Kept: 174379
% 206.00/206.42 Inuse: 1867
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 991223
% 206.00/206.42 Kept: 176383
% 206.00/206.42 Inuse: 1873
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 1008727
% 206.00/206.42 Kept: 178769
% 206.00/206.42 Inuse: 1892
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 1027350
% 206.00/206.42 Kept: 180942
% 206.00/206.42 Inuse: 1932
% 206.00/206.42 Deleted: 4086
% 206.00/206.42 Deletedinuse: 13
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying clauses:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 1041935
% 206.00/206.42 Kept: 182945
% 206.00/206.42 Inuse: 1963
% 206.00/206.42 Deleted: 4838
% 206.00/206.42 Deletedinuse: 18
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 1061999
% 206.00/206.42 Kept: 185819
% 206.00/206.42 Inuse: 1987
% 206.00/206.42 Deleted: 4838
% 206.00/206.42 Deletedinuse: 18
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 206.00/206.42 Generated: 1072721
% 206.00/206.42 Kept: 188060
% 206.00/206.42 Inuse: 2002
% 206.00/206.42 Deleted: 4838
% 206.00/206.42 Deletedinuse: 18
% 206.00/206.42
% 206.00/206.42 Resimplifying inuse:
% 206.00/206.42 Done
% 206.00/206.42
% 206.00/206.42
% 206.00/206.42 Intermediate Status:
% 300.04/300.45 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------