TSTP Solution File: ALG359-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG359-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:29 EDT 2022
% Result : Timeout 300.01s 300.71s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG359-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 07:19:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.32 *** allocated 10000 integers for termspace/termends
% 0.96/1.32 *** allocated 10000 integers for clauses
% 0.96/1.32 *** allocated 10000 integers for justifications
% 0.96/1.32 *** allocated 15000 integers for termspace/termends
% 0.96/1.32 *** allocated 22500 integers for termspace/termends
% 0.96/1.32 Bliksem 1.12
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32 Automatic Strategy Selection
% 0.96/1.32
% 0.96/1.32 Clauses:
% 0.96/1.32 [
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.96/1.32 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.96/1.32 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.32 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.32 Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.96/1.32 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.96/1.32 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.32 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.96/1.32 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.96/1.32 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.96/1.32 'tc_RealDef_Oreal' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 0.96/1.32 Z, 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.96/1.32 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.32 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.96/1.32 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.32 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.96/1.32 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_Complex_ORe'( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex'
% 0.96/1.32 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_Complex_ORe'( X ),
% 0.96/1.32 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.96/1.32 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.32 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ), T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.32 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.32 X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.32 Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.32 Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.96/1.32 X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.32 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.32 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.96/1.32 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.32 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.32 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.32 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.32 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.32 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.32 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.32 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.32 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.32 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.32 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.32 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.32 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 , Y, X ) ) ],
% 0.96/1.32 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.96/1.32 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 0.96/1.32 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.96/1.32 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.32 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.32 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.32 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.96/1.32 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.32 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 0.96/1.32 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.96/1.32 , X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.96/1.32 , X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.32 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.32 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.96/1.32 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.96/1.32 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.96/1.32 X ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.32 , Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.32 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( T, X ), X ) ), ~(
% 0.96/1.32 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.96/1.32 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.96/1.32 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.32 T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.32 X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.32 T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.32 X ), T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 T, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.32 X ), T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.96/1.32 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.96/1.32 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , X ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.32 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.32 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.32 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.96/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.96/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 Y, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.96/1.32 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.96/1.32 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.32 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.32 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.32 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.32 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.32 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.32 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.32 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.32 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.96/1.32 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.32 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.32 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.32 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.32 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.32 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.32 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 Y, T, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 Y, T, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.96/1.32 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.32 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.96/1.32 ), Y, 'tc_RealDef_Oreal' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.96/1.32 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.96/1.32 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.32 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.32 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.32 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.96/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.96/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.96/1.32 X ), X ) ) ],
% 0.96/1.32 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.32 , X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.32 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.32 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.32 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.32 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ), =( Z, Y ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.32 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.96/1.32 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.32 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 , Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.32 , X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.32 , X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.96/1.32 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.32 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.96/1.32 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.32 ), 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ), X ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.96/1.32 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.96/1.32 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.32 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.32 , X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.96/1.32 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.96/1.33 , X ), T, X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.96/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ) ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.96/1.33 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.33 Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.96/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.96/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.96/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.96/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.96/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.96/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.96/1.33 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.96/1.33 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ), 'c_RealVector_Oof__real'( X,
% 0.96/1.33 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.96/1.33 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.96/1.33 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.96/1.33 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.96/1.33 , X, 'tc_nat' ), X ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.96/1.33 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.96/1.33 ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.96/1.33 ), X ), Y ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.96/1.33 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.33 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.96/1.33 [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.96/1.33 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.33 [ =( 'c_NthRoot_Oroot'( X, 'c_Power_Opower__class_Opower'( Y, X,
% 0.96/1.33 'tc_RealDef_Oreal' ) ), Y ), 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.96/1.33 'tc_nat' ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 0.96/1.33 'c_NthRoot_Oroot'( X, 'c_Power_Opower__class_Opower'( Y, X,
% 0.96/1.33 'tc_RealDef_Oreal' ) ), Y ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.96/1.33 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.96/1.33 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.96/1.33 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.33 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ =( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.33 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.33 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.96/1.33 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.96/1.33 W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.96/1.33 , X ), T, X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.96/1.33 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.96/1.33 W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.33 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.33 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.96/1.33 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.96/1.33 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.96/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.96/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.96/1.33 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.96/1.33 , 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.33 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.33 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.33 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Oroot'( X, Y ), X,
% 0.96/1.33 'tc_RealDef_Oreal' ), Y ), 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.96/1.33 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.96/1.33 ), Y, X ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.96/1.33 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.96/1.33 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.96/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 0.96/1.33 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.33 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.96/1.33 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.96/1.33 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.33 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.33 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.96/1.33 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.96/1.33 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.96/1.33 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( =( 'v_b', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ =( 'c_Power_Opower__class_Opower'( 'c_RealVector_Oof__real'( X,
% 0.96/1.33 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.96/1.33 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.96/1.33 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_RealVector_Oof__real'( X,
% 0.96/1.33 'tc_Complex_Ocomplex' ) ), 'c_RealVector_Oof__real'( X,
% 0.96/1.33 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.33 X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.33 X ), Y ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.96/1.33 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.96/1.33 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.33 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.96/1.33 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'v_na____', 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.96/1.33 ) ],
% 0.96/1.33 [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 0.96/1.33 ) ), X ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.96/1.33 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.96/1.33 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.96/1.33 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.96/1.33 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 0.96/1.33 Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.96/1.33 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.33 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Z, T, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.96/1.33 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.96/1.33 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.96/1.33 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.96/1.33 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.96/1.33 =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.33 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.96/1.33 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.96/1.33 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Z, T, 'tc_nat' ), X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'( 'v_v____',
% 0.96/1.33 'v_na____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.96/1.33 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.96/1.33 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.96/1.33 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.96/1.33 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( X, 'c_RealVector_Oof__real'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.96/1.33 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Z, Y, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.96/1.33 'tc_Complex_Ocomplex' ) ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_Complex_Ocnj'( X ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Oroot'( 'v_na____',
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 0.96/1.33 'v_na____', 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.96/1.33 'v_b', 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'v_v____', 'c_RealVector_Oof__real'( 'c_NthRoot_Oroot'( 'v_na____',
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ) ),
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_na____',
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'v_v____', 'v_na____',
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.96/1.33 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.96/1.33 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.96/1.33 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.33 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.33 ] .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 percentage equality = 0.199245, percentage horn = 0.840085
% 0.96/1.33 This is a problem with some equality
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Options Used:
% 0.96/1.33
% 0.96/1.33 useres = 1
% 0.96/1.33 useparamod = 1
% 0.96/1.33 useeqrefl = 1
% 0.96/1.33 useeqfact = 1
% 0.96/1.33 usefactor = 1
% 0.96/1.33 usesimpsplitting = 0
% 0.96/1.33 usesimpdemod = 5
% 0.96/1.33 usesimpres = 3
% 0.96/1.33
% 0.96/1.33 resimpinuse = 1000
% 0.96/1.33 resimpclauses = 20000
% 0.96/1.33 substype = eqrewr
% 0.96/1.33 backwardsubs = 1
% 0.96/1.33 selectoldest = 5
% 0.96/1.33
% 0.96/1.33 litorderings [0] = split
% 0.96/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.33
% 0.96/1.33 termordering = kbo
% 0.96/1.33
% 0.96/1.33 litapriori = 0
% 0.96/1.33 termapriori = 1
% 0.96/1.33 litaposteriori = 0
% 0.96/1.33 termaposteriori = 0
% 0.96/1.33 demodaposteriori = 0
% 0.96/1.33 ordereqreflfact = 0
% 0.96/1.33
% 0.96/1.33 litselect = negord
% 0.96/1.33
% 0.96/1.33 maxweight = 15
% 0.96/1.33 maxdepth = 30000
% 0.96/1.33 maxlength = 115
% 0.96/1.33 maxnrvars = 195
% 0.96/1.33 excuselevel = 1
% 0.96/1.33 increasemaxweight = 1
% 0.96/1.33
% 0.96/1.33 maxselected = 10000000
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33
% 0.96/1.33 showgenerated = 0
% 0.96/1.33 showkept = 0
% 0.96/1.33 showselected = 0
% 0.96/1.33 showdeleted = 0
% 0.96/1.33 showresimp = 1
% 0.96/1.33 showstatus = 2000
% 0.96/1.33
% 0.96/1.33 prologoutput = 1
% 0.96/1.33 nrgoals = 5000000
% 0.96/1.33 totalproof = 1
% 0.96/1.33
% 0.96/1.33 Symbols occurring in the translation:
% 0.96/1.33
% 0.96/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.33 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.96/1.33 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 0.96/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 'class_Orderings_Oorder' [40, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.96/1.33 'c_lessequals' [44, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.96/1.33 'tc_RealDef_Oreal' [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Olinorder' [48, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Oordered__field' [49, 1] (w:1, o:63, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero' [50, 1] (w:1, o:68, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide' [52, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.96/1.33
% 0.96/1.33 'c_HOL_Ozero__class_Ozero' [53, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Odivision__ring' [54, 1] (w:1, o:70, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus' [55, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse' [56, 2] (w:1, o:157, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'class_Ring__and__Field_Opordered__ring' [57, 1] (w:1, o:77, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes' [58, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Oordered__ring__strict' [59, 1] (w:1, o:71
% 0.96/1.33 , a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Opordered__cancel__semiring' [60, 1] (w:1, o:
% 0.96/1.33 78, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Ofield' [61, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Oone__class_Oone' [62, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.96/1.33 'class_Int_Onumber__ring' [63, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.96/1.33 'class_RealVector_Oreal__algebra__1' [64, 1] (w:1, o:82, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_RealVector_Oof__real' [66, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR' [67, 3] (w:1, o:169, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'class_Ring__and__Field_Odvd' [68, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Ocomm__ring' [69, 1] (w:1, o:64, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus' [72, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd' [73, 3] (w:1, o:171, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus' [76, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Opordered__ab__group__add' [77, 1] (w:1, o:85, a:
% 0.96/1.33 1, s:1, b:0),
% 0.96/1.33 'c_Complex_ORe' [80, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.96/1.33 'tc_Complex_Ocomplex' [81, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm' [82, 2] (w:1, o:158, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'c_Complex_Ocomplex_OComplex' [83, 2] (w:1, o:160, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Oordered__idom' [85, 1] (w:1, o:72, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Power_Opower__class_Opower' [87, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.96/1.33 'tc_nat' [88, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven' [89, 2] (w:1, o:161, a:1, s:1, b:0
% 0.96/1.33 ),
% 0.96/1.33 'class_Ring__and__Field_Oordered__semiring__strict' [90, 1] (w:1, o:
% 0.96/1.33 73, a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Oab__semigroup__idem__mult' [91, 1] (w:1, o:87
% 0.96/1.33 , a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Osgn__class_Osgn' [93, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.96/1.33 'class_RealVector_Oreal__vector' [94, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.96/1.33
% 0.96/1.33 'class_Ring__and__Field_Oidom' [95, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Omult__mono' [96, 1] (w:1, o:90, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'class_Ring__and__Field_Omult__mono1' [97, 1] (w:1, o:91, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'class_Ring__and__Field_Oordered__semidom' [98, 1] (w:1, o:74, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'class_RealVector_Oreal__normed__field' [103, 1] (w:1, o:92, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'class_RealVector_Oreal__normed__vector' [106, 1] (w:1, o:93, a:1, s:
% 0.96/1.33 1, b:0),
% 10.73/11.14 'c_Complex_Ocnj' [107, 1] (w:1, o:94, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Ocomm__semiring__1' [108, 1] (w:1, o:66, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Ogroup__add' [109, 1] (w:1, o:95, a:1, s:1, b:0)
% 10.73/11.14 ,
% 10.73/11.14 'class_OrderedGroup_Opordered__ab__group__add__abs' [110, 1] (w:1, o:
% 10.73/11.14 96, a:1, s:1, b:0),
% 10.73/11.14 'c_HOL_Oabs__class_Oabs' [111, 2] (w:1, o:163, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Osemiring__0' [112, 1] (w:1, o:101, a:1, s:1
% 10.73/11.14 , b:0),
% 10.73/11.14 'class_Power_Opower' [113, 1] (w:1, o:118, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Ozero__neq__one' [114, 1] (w:1, o:119, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Ono__zero__divisors' [115, 1] (w:1, o:62, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Omult__zero' [116, 1] (w:1, o:61, a:1, s:1
% 10.73/11.14 , b:0),
% 10.73/11.14 'class_OrderedGroup_Olordered__ab__group__add' [117, 1] (w:1, o:102
% 10.73/11.14 , a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Oring' [118, 1] (w:1, o:97, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Opordered__ring__abs' [119, 1] (w:1, o:120
% 10.73/11.14 , a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [120, 1]
% 10.73/11.14 (w:1, o:103, a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Opordered__ab__semigroup__add' [121, 1] (w:1, o:
% 10.73/11.14 104, a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Oab__semigroup__mult' [122, 1] (w:1, o:105, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_RealVector_Oreal__normed__algebra' [127, 1] (w:1, o:121, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Ocomm__semiring' [131, 1] (w:1, o:67, a:1, s:
% 10.73/11.14 1, b:0),
% 10.73/11.14 'class_OrderedGroup_Oordered__ab__group__add' [133, 1] (w:1, o:84, a:
% 10.73/11.14 1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Opordered__semiring' [134, 1] (w:1, o:122, a:
% 10.73/11.14 1, s:1, b:0),
% 10.73/11.14 'c_NthRoot_Oroot' [135, 2] (w:1, o:164, a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Oab__group__add' [136, 1] (w:1, o:106, a:1, s:1
% 10.73/11.14 , b:0),
% 10.73/11.14 'class_Ring__and__Field_Ocomm__ring__1' [137, 1] (w:1, o:65, a:1, s:1
% 10.73/11.14 , b:0),
% 10.73/11.14 'class_Lattices_Oboolean__algebra' [138, 1] (w:1, o:123, a:1, s:1, b:
% 10.73/11.14 0),
% 10.73/11.14 'class_OrderedGroup_Olordered__ab__group__add__abs' [139, 1] (w:1, o:
% 10.73/11.14 107, a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Opordered__comm__monoid__add' [140, 1] (w:1, o:
% 10.73/11.14 108, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Osgn__if' [141, 1] (w:1, o:124, a:1, s:1, b:0
% 10.73/11.14 ),
% 10.73/11.14 'class_Ring__and__Field_Oring__no__zero__divisors' [142, 1] (w:1, o:
% 10.73/11.14 98, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Oabs__if' [143, 1] (w:1, o:125, a:1, s:1, b:0
% 10.73/11.14 ),
% 10.73/11.14 'class_Ring__and__Field_Oordered__semiring' [144, 1] (w:1, o:75, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Ocomm__monoid__add' [146, 1] (w:1, o:109, a:1, s:
% 10.73/11.14 1, b:0),
% 10.73/11.14 'class_OrderedGroup_Ocancel__ab__semigroup__add' [147, 1] (w:1, o:110
% 10.73/11.14 , a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Ocancel__semigroup__add' [148, 1] (w:1, o:111, a:
% 10.73/11.14 1, s:1, b:0),
% 10.73/11.14 'class_RealVector_Oreal__normed__algebra__1' [149, 1] (w:1, o:126, a:
% 10.73/11.14 1, s:1, b:0),
% 10.73/11.14 'class_RealVector_Oreal__algebra' [150, 1] (w:1, o:127, a:1, s:1, b:0
% 10.73/11.14 ),
% 10.73/11.14 'class_RealVector_Oreal__field' [152, 1] (w:1, o:128, a:1, s:1, b:0)
% 10.73/11.14 ,
% 10.73/11.14 'class_Ring__and__Field_Oring__1' [154, 1] (w:1, o:99, a:1, s:1, b:0)
% 10.73/11.14 ,
% 10.73/11.14 'class_Ring__and__Field_Olordered__ring' [155, 1] (w:1, o:60, a:1, s:
% 10.73/11.14 1, b:0),
% 10.73/11.14 'class_OrderedGroup_Omonoid__mult' [156, 1] (w:1, o:112, a:1, s:1, b:
% 10.73/11.14 0),
% 10.73/11.14 'class_OrderedGroup_Ocomm__monoid__mult' [157, 1] (w:1, o:113, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_Orderings_Opreorder' [158, 1] (w:1, o:114, a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Oab__semigroup__add' [159, 1] (w:1, o:115, a:1
% 10.73/11.14 , s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [160, 1]
% 10.73/11.14 (w:1, o:116, a:1, s:1, b:0),
% 10.73/11.14 'class_Ring__and__Field_Osemiring' [161, 1] (w:1, o:129, a:1, s:1, b:
% 10.73/11.14 0),
% 10.73/11.14 'class_Ring__and__Field_Oordered__comm__semiring__strict' [162, 1]
% 10.73/11.14 (w:1, o:76, a:1, s:1, b:0),
% 10.73/11.14 'class_OrderedGroup_Omonoid__add' [163, 1] (w:1, o:117, a:1, s:1, b:0
% 10.73/11.14 ),
% 10.73/11.14 'class_RealVector_Oreal__normed__div__algebra' [166, 1] (w:1, o:130
% 49.24/49.63 , a:1, s:1, b:0),
% 49.24/49.63 'v_b' [168, 0] (w:1, o:50, a:1, s:1, b:0),
% 49.24/49.63 'v_na____' [169, 0] (w:1, o:51, a:1, s:1, b:0),
% 49.24/49.63 'class_Ring__and__Field_Oring__1__no__zero__divisors' [171, 1] (w:1
% 49.24/49.63 , o:100, a:1, s:1, b:0),
% 49.24/49.63 'v_v____' [173, 0] (w:1, o:52, a:1, s:1, b:0).
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Starting Search:
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 3389
% 49.24/49.63 Kept: 2000
% 49.24/49.63 Inuse: 74
% 49.24/49.63 Deleted: 0
% 49.24/49.63 Deletedinuse: 0
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 12479
% 49.24/49.63 Kept: 4075
% 49.24/49.63 Inuse: 141
% 49.24/49.63 Deleted: 0
% 49.24/49.63 Deletedinuse: 0
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 19309
% 49.24/49.63 Kept: 6331
% 49.24/49.63 Inuse: 216
% 49.24/49.63 Deleted: 0
% 49.24/49.63 Deletedinuse: 0
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 29063
% 49.24/49.63 Kept: 8456
% 49.24/49.63 Inuse: 236
% 49.24/49.63 Deleted: 1
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 37986
% 49.24/49.63 Kept: 10474
% 49.24/49.63 Inuse: 277
% 49.24/49.63 Deleted: 1
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 50304
% 49.24/49.63 Kept: 12578
% 49.24/49.63 Inuse: 299
% 49.24/49.63 Deleted: 3
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 60152
% 49.24/49.63 Kept: 14592
% 49.24/49.63 Inuse: 364
% 49.24/49.63 Deleted: 3
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 70334
% 49.24/49.63 Kept: 16844
% 49.24/49.63 Inuse: 389
% 49.24/49.63 Deleted: 3
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 79260
% 49.24/49.63 Kept: 18863
% 49.24/49.63 Inuse: 444
% 49.24/49.63 Deleted: 3
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying clauses:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 89379
% 49.24/49.63 Kept: 20974
% 49.24/49.63 Inuse: 494
% 49.24/49.63 Deleted: 320
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 99041
% 49.24/49.63 Kept: 23255
% 49.24/49.63 Inuse: 539
% 49.24/49.63 Deleted: 320
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 109439
% 49.24/49.63 Kept: 25272
% 49.24/49.63 Inuse: 594
% 49.24/49.63 Deleted: 320
% 49.24/49.63 Deletedinuse: 1
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 120096
% 49.24/49.63 Kept: 28009
% 49.24/49.63 Inuse: 638
% 49.24/49.63 Deleted: 324
% 49.24/49.63 Deletedinuse: 4
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 134660
% 49.24/49.63 Kept: 30064
% 49.24/49.63 Inuse: 658
% 49.24/49.63 Deleted: 324
% 49.24/49.63 Deletedinuse: 4
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 146702
% 49.24/49.63 Kept: 32475
% 49.24/49.63 Inuse: 693
% 49.24/49.63 Deleted: 324
% 49.24/49.63 Deletedinuse: 4
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 158985
% 49.24/49.63 Kept: 34476
% 49.24/49.63 Inuse: 720
% 49.24/49.63 Deleted: 324
% 49.24/49.63 Deletedinuse: 4
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 169566
% 49.24/49.63 Kept: 36480
% 49.24/49.63 Inuse: 754
% 49.24/49.63 Deleted: 325
% 49.24/49.63 Deletedinuse: 5
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 178672
% 49.24/49.63 Kept: 38534
% 49.24/49.63 Inuse: 788
% 49.24/49.63 Deleted: 325
% 49.24/49.63 Deletedinuse: 5
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying clauses:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 208410
% 49.24/49.63 Kept: 42104
% 49.24/49.63 Inuse: 818
% 49.24/49.63 Deleted: 979
% 49.24/49.63 Deletedinuse: 5
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 218094
% 49.24/49.63 Kept: 44132
% 49.24/49.63 Inuse: 843
% 49.24/49.63 Deleted: 980
% 49.24/49.63 Deletedinuse: 6
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 240720
% 49.24/49.63 Kept: 46137
% 49.24/49.63 Inuse: 864
% 49.24/49.63 Deleted: 980
% 49.24/49.63 Deletedinuse: 6
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 252176
% 49.24/49.63 Kept: 48246
% 49.24/49.63 Inuse: 913
% 49.24/49.63 Deleted: 980
% 49.24/49.63 Deletedinuse: 6
% 49.24/49.63
% 49.24/49.63 Resimplifying inuse:
% 49.24/49.63 Done
% 49.24/49.63
% 49.24/49.63
% 49.24/49.63 Intermediate Status:
% 49.24/49.63 Generated: 270459
% 49.24/49.63 Kept: 51129
% 49.24/49.63 Inuse: 958
% 117.82/118.22 Deleted: 980
% 117.82/118.22 Deletedinuse: 6
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 286137
% 117.82/118.22 Kept: 53378
% 117.82/118.22 Inuse: 968
% 117.82/118.22 Deleted: 984
% 117.82/118.22 Deletedinuse: 10
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 297282
% 117.82/118.22 Kept: 55382
% 117.82/118.22 Inuse: 982
% 117.82/118.22 Deleted: 984
% 117.82/118.22 Deletedinuse: 10
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 313403
% 117.82/118.22 Kept: 58016
% 117.82/118.22 Inuse: 988
% 117.82/118.22 Deleted: 984
% 117.82/118.22 Deletedinuse: 10
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 324673
% 117.82/118.22 Kept: 60036
% 117.82/118.22 Inuse: 1011
% 117.82/118.22 Deleted: 984
% 117.82/118.22 Deletedinuse: 10
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying clauses:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 338030
% 117.82/118.22 Kept: 62050
% 117.82/118.22 Inuse: 1030
% 117.82/118.22 Deleted: 1262
% 117.82/118.22 Deletedinuse: 10
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 346926
% 117.82/118.22 Kept: 64140
% 117.82/118.22 Inuse: 1043
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 356379
% 117.82/118.22 Kept: 66190
% 117.82/118.22 Inuse: 1063
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 369654
% 117.82/118.22 Kept: 69012
% 117.82/118.22 Inuse: 1083
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 381377
% 117.82/118.22 Kept: 71097
% 117.82/118.22 Inuse: 1113
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 404636
% 117.82/118.22 Kept: 74073
% 117.82/118.22 Inuse: 1138
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 438810
% 117.82/118.22 Kept: 77745
% 117.82/118.22 Inuse: 1148
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 456051
% 117.82/118.22 Kept: 79969
% 117.82/118.22 Inuse: 1158
% 117.82/118.22 Deleted: 1263
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying clauses:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 466934
% 117.82/118.22 Kept: 82069
% 117.82/118.22 Inuse: 1173
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 500054
% 117.82/118.22 Kept: 85567
% 117.82/118.22 Inuse: 1213
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 510949
% 117.82/118.22 Kept: 87949
% 117.82/118.22 Inuse: 1238
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 524688
% 117.82/118.22 Kept: 90667
% 117.82/118.22 Inuse: 1258
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 534999
% 117.82/118.22 Kept: 92668
% 117.82/118.22 Inuse: 1283
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 542555
% 117.82/118.22 Kept: 94745
% 117.82/118.22 Inuse: 1298
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 553258
% 117.82/118.22 Kept: 96842
% 117.82/118.22 Inuse: 1318
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 567888
% 117.82/118.22 Kept: 99535
% 117.82/118.22 Inuse: 1338
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 591049
% 117.82/118.22 Kept: 101898
% 117.82/118.22 Inuse: 1348
% 117.82/118.22 Deleted: 1489
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying clauses:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 614945
% 117.82/118.22 Kept: 104673
% 117.82/118.22 Inuse: 1358
% 117.82/118.22 Deleted: 1757
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 628882
% 117.82/118.22 Kept: 106853
% 117.82/118.22 Inuse: 1383
% 117.82/118.22 Deleted: 1757
% 117.82/118.22 Deletedinuse: 11
% 117.82/118.22
% 117.82/118.22 Resimplifying inuse:
% 117.82/118.22 Done
% 117.82/118.22
% 117.82/118.22
% 117.82/118.22 Intermediate Status:
% 117.82/118.22 Generated: 654184
% 117.82/118.22 Kept: 109302
% 117.82/118.22 Inuse: 1388
% 117.82/118.22 Deleted: 1757
% 231.46/232.12 Deletedinuse: 11
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 668956
% 231.46/232.12 Kept: 113236
% 231.46/232.12 Inuse: 1403
% 231.46/232.12 Deleted: 1757
% 231.46/232.12 Deletedinuse: 11
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 679402
% 231.46/232.12 Kept: 115285
% 231.46/232.12 Inuse: 1408
% 231.46/232.12 Deleted: 1758
% 231.46/232.12 Deletedinuse: 12
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 693099
% 231.46/232.12 Kept: 117310
% 231.46/232.12 Inuse: 1420
% 231.46/232.12 Deleted: 1758
% 231.46/232.12 Deletedinuse: 12
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 704502
% 231.46/232.12 Kept: 119759
% 231.46/232.12 Inuse: 1436
% 231.46/232.12 Deleted: 1761
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 734608
% 231.46/232.12 Kept: 123015
% 231.46/232.12 Inuse: 1450
% 231.46/232.12 Deleted: 1762
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying clauses:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 754296
% 231.46/232.12 Kept: 125351
% 231.46/232.12 Inuse: 1475
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 774996
% 231.46/232.12 Kept: 128276
% 231.46/232.12 Inuse: 1485
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 798215
% 231.46/232.12 Kept: 131399
% 231.46/232.12 Inuse: 1495
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 808912
% 231.46/232.12 Kept: 133400
% 231.46/232.12 Inuse: 1513
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 823581
% 231.46/232.12 Kept: 135643
% 231.46/232.12 Inuse: 1535
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 835861
% 231.46/232.12 Kept: 137648
% 231.46/232.12 Inuse: 1558
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 845918
% 231.46/232.12 Kept: 139649
% 231.46/232.12 Inuse: 1572
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 854952
% 231.46/232.12 Kept: 141839
% 231.46/232.12 Inuse: 1585
% 231.46/232.12 Deleted: 2174
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying clauses:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 870324
% 231.46/232.12 Kept: 143844
% 231.46/232.12 Inuse: 1608
% 231.46/232.12 Deleted: 2441
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 884478
% 231.46/232.12 Kept: 145872
% 231.46/232.12 Inuse: 1630
% 231.46/232.12 Deleted: 2441
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 910357
% 231.46/232.12 Kept: 149366
% 231.46/232.12 Inuse: 1660
% 231.46/232.12 Deleted: 2441
% 231.46/232.12 Deletedinuse: 13
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 921705
% 231.46/232.12 Kept: 151656
% 231.46/232.12 Inuse: 1665
% 231.46/232.12 Deleted: 2442
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 935284
% 231.46/232.12 Kept: 155846
% 231.46/232.12 Inuse: 1671
% 231.46/232.12 Deleted: 2442
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 949511
% 231.46/232.12 Kept: 157876
% 231.46/232.12 Inuse: 1698
% 231.46/232.12 Deleted: 2442
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 961056
% 231.46/232.12 Kept: 160185
% 231.46/232.12 Inuse: 1715
% 231.46/232.12 Deleted: 2442
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 971963
% 231.46/232.12 Kept: 162503
% 231.46/232.12 Inuse: 1735
% 231.46/232.12 Deleted: 2442
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying clauses:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 1013069
% 231.46/232.12 Kept: 166559
% 231.46/232.12 Inuse: 1750
% 231.46/232.12 Deleted: 2694
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 1023149
% 231.46/232.12 Kept: 168628
% 231.46/232.12 Inuse: 1770
% 231.46/232.12 Deleted: 2694
% 231.46/232.12 Deletedinuse: 14
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12 Resimplifying inuse:
% 231.46/232.12 Done
% 231.46/232.12
% 231.46/232.12
% 231.46/232.12 Intermediate Status:
% 231.46/232.12 Generated: 1036210
% 231.46/232.12 Kept: 170957
% 231.46/232.12 ICputime limit exceeded (core dumped)
%------------------------------------------------------------------------------