TSTP Solution File: SWV595-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Wed Jul 20 16:26:59 EDT 2022
% Result : Timeout 294.45s 294.85s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Thu Jun 16 00:51:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.81/1.21 *** allocated 10000 integers for termspace/termends
% 0.81/1.21 *** allocated 10000 integers for clauses
% 0.81/1.21 *** allocated 10000 integers for justifications
% 0.81/1.21 Bliksem 1.12
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Automatic Strategy Selection
% 0.81/1.21
% 0.81/1.21 Clauses:
% 0.81/1.21 [
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.81/1.21 X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.81/1.21 T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.81/1.21 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.81/1.21 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.81/1.21 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.81/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.81/1.21 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.21 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.81/1.21 Y, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.21 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.81/1.21 Y, X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.81/1.21 ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.81/1.21 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.81/1.21 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.81/1.21 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.81/1.21 ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.81/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.81/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.81/1.21 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.81/1.21 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 0.81/1.21 , 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.21 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.81/1.21 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.21 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.81/1.21 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.21 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.81/1.21 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.21 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.21 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.21 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.21 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.81/1.21 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.81/1.21 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.81/1.21 , X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.81/1.21 , X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.81/1.21 ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.81/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.81/1.21 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.81/1.21 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.81/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.21 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ],
% 0.81/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.81/1.21 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.21 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.21 ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.81/1.21 X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.21 , Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.21 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.81/1.21 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.81/1.21 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.81/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.81/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.21 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.81/1.21 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.21 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.21 Z, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.81/1.21 , X ) ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.81/1.21 , X ) ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.81/1.21 ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.81/1.21 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.81/1.21 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.81/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.81/1.21 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.81/1.21 T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 X ), T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.81/1.21 T, X ), X ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.81/1.21 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 X ), T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 Y, X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.81/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.81/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.81/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.81/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.81/1.21 X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 Y, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.21 Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.81/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.81/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.81/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.21 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.81/1.21 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.81/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.21 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.81/1.21 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.81/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.81/1.21 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.81/1.21 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.81/1.21 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.81/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.81/1.21 ) ],
% 0.81/1.21 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.81/1.21 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.81/1.21 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.81/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.81/1.21 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.81/1.21 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.21 , X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.21 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.81/1.21 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 0.81/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 0.81/1.21 , 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.81/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.81/1.21 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.81/1.21 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.81/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.81/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.81/1.21 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.81/1.21 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.81/1.21 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 0.81/1.21 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'tc_RealDef_Oreal' ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.81/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.81/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.81/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.81/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.81/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.81/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.81/1.21 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.81/1.21 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.81/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.81/1.21 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.81/1.21 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ],
% 0.81/1.21 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.81/1.21 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.81/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.21 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.81/1.21 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.81/1.21 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.81/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.81/1.21 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.81/1.21 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.81/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.81/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.81/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.81/1.21 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.81/1.21 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.21 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.21 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.81/1.21 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.81/1.21 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.81/1.21 'tc_RealDef_Oreal' ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.21 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.81/1.21 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.81/1.21 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.21 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.81/1.21 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'(
% 0.81/1.21 'c_Log_Opowr'( X, Z ), Y ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.21 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.21 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.22 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.81/1.22 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.81/1.22 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.81/1.22 =( Y, Z ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.81/1.22 , X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.81/1.22 , X ), Z, X ) ) ],
% 0.81/1.22 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.81/1.22 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22 , Y, X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.22 , Z, X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.81/1.22 , Z, X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.81/1.22 ), X ), Y ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.81/1.22 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.81/1.22 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.22 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.22 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.81/1.22 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.22 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.22 Y, Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.81/1.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.81/1.22 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.81/1.22 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.81/1.22 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.81/1.22 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.81/1.22 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.81/1.22 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.81/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.81/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.81/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.81/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.81/1.22 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.22 Y, T, X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.81/1.22 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.81/1.22 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.22 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.81/1.22 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.81/1.22 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22 ), Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22 ), Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.81/1.22 ), Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.81/1.22 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.81/1.22 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.81/1.22 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.81/1.22 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.22 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.81/1.22 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.81/1.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.81/1.22 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.81/1.22 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.81/1.22 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.81/1.22 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.81/1.22 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.22 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.81/1.22 Y, Z, X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.81/1.22 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.81/1.22 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.81/1.22 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.22 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.81/1.22 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.81/1.22 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.81/1.22 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ) ],
% 0.81/1.22 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.81/1.22 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.81/1.22 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X,
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.81/1.22 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.22 Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.81/1.22 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.81/1.22 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.81/1.22 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.81/1.22 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.81/1.22 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.22 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.81/1.22 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.81/1.22 Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.81/1.22 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.81/1.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.81/1.22 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.81/1.22 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.81/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.81/1.22 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.81/1.22 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.22 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.81/1.22 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.81/1.22 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.81/1.22 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.81/1.22 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.81/1.22 Y, X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.81/1.22 'c_lessequals'( Z, Y, X ) ],
% 0.81/1.22 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.81/1.22 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 0.81/1.22 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.81/1.22 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.81/1.22 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.81/1.22 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.81/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.81/1.22 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.81/1.22 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.81/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 0.81/1.22 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.81/1.22 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.81/1.22 X ) ],
% 0.81/1.22 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.81/1.22 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.81/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'v_x', 'c_Transcendental_Opi' ) ],
% 0.81/1.22 [ =( 'c_Transcendental_Ocos'( 'v_x' ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.81/1.22 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.81/1.22 ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.81/1.22 ],
% 0.81/1.22 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.81/1.22 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ]
% 0.81/1.22 ] .
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 percentage equality = 0.286348, percentage horn = 0.860731
% 0.81/1.22 This is a problem with some equality
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Options Used:
% 0.81/1.22
% 0.81/1.22 useres = 1
% 0.81/1.22 useparamod = 1
% 0.81/1.22 useeqrefl = 1
% 0.81/1.22 useeqfact = 1
% 0.81/1.22 usefactor = 1
% 0.81/1.22 usesimpsplitting = 0
% 0.81/1.22 usesimpdemod = 5
% 0.81/1.22 usesimpres = 3
% 0.81/1.22
% 0.81/1.22 resimpinuse = 1000
% 0.81/1.22 resimpclauses = 20000
% 0.81/1.22 substype = eqrewr
% 0.81/1.22 backwardsubs = 1
% 0.81/1.22 selectoldest = 5
% 0.81/1.22
% 0.81/1.22 litorderings [0] = split
% 0.81/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.22
% 0.81/1.22 termordering = kbo
% 0.81/1.22
% 0.81/1.22 litapriori = 0
% 0.81/1.22 termapriori = 1
% 0.81/1.22 litaposteriori = 0
% 0.81/1.22 termaposteriori = 0
% 0.81/1.22 demodaposteriori = 0
% 0.81/1.22 ordereqreflfact = 0
% 0.81/1.22
% 0.81/1.22 litselect = negord
% 0.81/1.22
% 0.81/1.22 maxweight = 15
% 0.81/1.22 maxdepth = 30000
% 0.81/1.22 maxlength = 115
% 0.81/1.22 maxnrvars = 195
% 0.81/1.22 excuselevel = 1
% 0.81/1.22 increasemaxweight = 1
% 0.81/1.22
% 0.81/1.22 maxselected = 10000000
% 0.81/1.22 maxnrclauses = 10000000
% 0.81/1.22
% 0.81/1.22 showgenerated = 0
% 0.81/1.22 showkept = 0
% 0.81/1.22 showselected = 0
% 0.81/1.22 showdeleted = 0
% 0.81/1.22 showresimp = 1
% 0.81/1.22 showstatus = 2000
% 0.81/1.22
% 0.81/1.22 prologoutput = 1
% 0.81/1.22 nrgoals = 5000000
% 0.81/1.22 totalproof = 1
% 0.81/1.22
% 0.81/1.22 Symbols occurring in the translation:
% 0.81/1.22
% 0.81/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.22 . [1, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.81/1.22 ! [4, 1] (w:0, o:40, a:1, s:1, b:0),
% 0.81/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.22 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:46, a:1
% 0.81/1.22 , s:1, b:0),
% 0.81/1.22 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.81/1.22 'class_OrderedGroup_Oab__semigroup__mult' [45, 1] (w:1, o:47, a:1, s:
% 0.81/1.22 1, b:0),
% 0.81/1.22 'class_Divides_Oring__div' [49, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.81/1.22 'c_HOL_Ouminus__class_Ouminus' [51, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.81/1.22 'c_Divides_Odiv__class_Odiv' [53, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.81/1.22 'c_Ring__and__Field_Odvd__class_Odvd' [54, 3] (w:1, o:138, a:1, s:1
% 0.81/1.22 , b:0),
% 0.81/1.22 'class_RealVector_Oreal__algebra__1' [55, 1] (w:1, o:49, a:1, s:1, b:
% 0.81/1.22 0),
% 0.81/1.22 'c_RealVector_Oof__real' [57, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.81/1.22 'c_HOL_Oone__class_Oone' [58, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.81/1.22 'c_RealVector_OscaleR__class_OscaleR' [59, 3] (w:1, o:139, a:1, s:1
% 0.81/1.22 , b:0),
% 0.81/1.22 'class_Int_Onumber__ring' [60, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.81/1.22 'class_Ring__and__Field_Ofield' [61, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.81/1.22 'c_HOL_Oinverse__class_Odivide' [62, 3] (w:1, o:140, a:1, s:1, b:0),
% 8.97/9.34
% 8.97/9.34 'c_HOL_Ozero__class_Ozero' [63, 1] (w:1, o:53, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Opordered__cancel__semiring' [64, 1] (w:1, o:
% 8.97/9.34 61, a:1, s:1, b:0),
% 8.97/9.34 'c_lessequals' [65, 3] (w:1, o:141, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Oordered__ring__strict' [66, 1] (w:1, o:57
% 8.97/9.34 , a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Opordered__ring' [67, 1] (w:1, o:62, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_Ring__and__Field_Odivision__ring' [68, 1] (w:1, o:63, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_Ring__and__Field_Odivision__by__zero' [69, 1] (w:1, o:64, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'c_HOL_Oinverse__class_Oinverse' [70, 2] (w:1, o:130, a:1, s:1, b:0)
% 8.97/9.34 ,
% 8.97/9.34 'c_Power_Opower__class_Opower' [72, 3] (w:1, o:142, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Oordered__field' [73, 1] (w:1, o:58, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_OrderedGroup_Ocomm__monoid__mult' [74, 1] (w:1, o:65, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'tc_RealDef_Oreal' [76, 0] (w:1, o:27, a:1, s:1, b:0),
% 8.97/9.34 'class_OrderedGroup_Oab__semigroup__idem__mult' [77, 1] (w:1, o:66
% 8.97/9.34 , a:1, s:1, b:0),
% 8.97/9.34 'c_Log_Opowr' [78, 2] (w:1, o:131, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Omult__mono' [79, 1] (w:1, o:67, a:1, s:1, b:
% 8.97/9.34 0),
% 8.97/9.34 'class_Ring__and__Field_Omult__mono1' [80, 1] (w:1, o:68, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_RealVector_Oreal__normed__vector' [81, 1] (w:1, o:69, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'c_HOL_Osgn__class_Osgn' [82, 2] (w:1, o:132, a:1, s:1, b:0),
% 8.97/9.34 'c_RealVector_Onorm__class_Onorm' [83, 2] (w:1, o:128, a:1, s:1, b:0)
% 8.97/9.34 ,
% 8.97/9.34 'c_NthRoot_Osqrt' [84, 1] (w:1, o:70, a:1, s:1, b:0),
% 8.97/9.34 'class_OrderedGroup_Opordered__ab__group__add__abs' [85, 1] (w:1, o:
% 8.97/9.34 72, a:1, s:1, b:0),
% 8.97/9.34 'c_HOL_Oabs__class_Oabs' [86, 2] (w:1, o:133, a:1, s:1, b:0),
% 8.97/9.34 'class_Divides_Osemiring__div' [87, 1] (w:1, o:73, a:1, s:1, b:0),
% 8.97/9.34 'class_OrderedGroup_Opordered__ab__group__add' [88, 1] (w:1, o:74, a:
% 8.97/9.34 1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Oring__1__no__zero__divisors' [91, 1] (w:1
% 8.97/9.34 , o:75, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Ozero__neq__one' [92, 1] (w:1, o:76, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_Ring__and__Field_Ono__zero__divisors' [93, 1] (w:1, o:56, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Omult__zero' [94, 1] (w:1, o:55, a:1, s:1, b:
% 8.97/9.34 0),
% 8.97/9.34 'class_Power_Opower' [95, 1] (w:1, o:83, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Oring' [96, 1] (w:1, o:84, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Opordered__ring__abs' [97, 1] (w:1, o:85, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Oordered__idom' [98, 1] (w:1, o:59, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_Ring__and__Field_Oidom' [99, 1] (w:1, o:86, a:1, s:1, b:0),
% 8.97/9.34 'class_Orderings_Oorder' [100, 1] (w:1, o:77, a:1, s:1, b:0),
% 8.97/9.34 'class_Lattices_Oboolean__algebra' [101, 1] (w:1, o:87, a:1, s:1, b:0
% 8.97/9.34 ),
% 8.97/9.34 'class_OrderedGroup_Ogroup__add' [102, 1] (w:1, o:78, a:1, s:1, b:0)
% 8.97/9.34 ,
% 8.97/9.34 'class_OrderedGroup_Oordered__ab__group__add' [107, 1] (w:1, o:71, a:
% 8.97/9.34 1, s:1, b:0),
% 8.97/9.34 'c_Transcendental_Osin' [108, 1] (w:1, o:88, a:1, s:1, b:0),
% 8.97/9.34 'class_RealVector_Oreal__normed__algebra' [109, 1] (w:1, o:89, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Opordered__semiring' [111, 1] (w:1, o:90, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Ocomm__ring__1' [114, 1] (w:1, o:45, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_RealVector_Oreal__vector' [115, 1] (w:1, o:91, a:1, s:1, b:0)
% 8.97/9.34 ,
% 8.97/9.34 'class_RealVector_Oreal__algebra' [116, 1] (w:1, o:92, a:1, s:1, b:0)
% 8.97/9.34 ,
% 8.97/9.34 'class_RealVector_Oreal__normed__field' [117, 1] (w:1, o:93, a:1, s:1
% 8.97/9.34 , b:0),
% 8.97/9.34 'class_Ring__and__Field_Oordered__semidom' [118, 1] (w:1, o:60, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'class_OrderedGroup_Olordered__ab__group__add' [119, 1] (w:1, o:79
% 8.97/9.34 , a:1, s:1, b:0),
% 8.97/9.34 'class_RealVector_Oreal__normed__algebra__1' [120, 1] (w:1, o:94, a:1
% 8.97/9.34 , s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Oring__no__zero__divisors' [121, 1] (w:1, o:
% 8.97/9.34 95, a:1, s:1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Olordered__ring' [122, 1] (w:1, o:54, a:1, s:
% 8.97/9.34 1, b:0),
% 8.97/9.34 'class_Ring__and__Field_Odvd' [123, 1] (w:1, o:96, a:1, s:1, b:0),
% 31.85/32.26 'c_Fun_Oid' [125, 2] (w:1, o:134, a:1, s:1, b:0),
% 31.85/32.26 'c_Transcendental_Ocos' [126, 1] (w:1, o:97, a:1, s:1, b:0),
% 31.85/32.26 'class_Ring__and__Field_Oring__1' [128, 1] (w:1, o:98, a:1, s:1, b:0)
% 31.85/32.26 ,
% 31.85/32.26 'class_RealVector_Oreal__normed__div__algebra' [129, 1] (w:1, o:99
% 31.85/32.26 , a:1, s:1, b:0),
% 31.85/32.26 'class_OrderedGroup_Omonoid__mult' [130, 1] (w:1, o:80, a:1, s:1, b:0
% 31.85/32.26 ),
% 31.85/32.26 'class_Ring__and__Field_Osemiring__1' [131, 1] (w:1, o:100, a:1, s:1
% 31.85/32.26 , b:0),
% 31.85/32.26 'c_Int_Oiszero' [132, 2] (w:1, o:135, a:1, s:1, b:0),
% 31.85/32.26 'class_Ring__and__Field_Osgn__if' [134, 1] (w:1, o:101, a:1, s:1, b:0
% 31.85/32.26 ),
% 31.85/32.26 'class_Orderings_Opreorder' [135, 1] (w:1, o:81, a:1, s:1, b:0),
% 31.85/32.26 'class_Orderings_Olinorder' [139, 1] (w:1, o:82, a:1, s:1, b:0),
% 31.85/32.26 'v_x' [140, 0] (w:1, o:37, a:1, s:1, b:0),
% 31.85/32.26 't_a' [141, 0] (w:1, o:38, a:1, s:1, b:0),
% 31.85/32.26 'c_Transcendental_Opi' [142, 0] (w:1, o:39, a:1, s:1, b:0).
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Starting Search:
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 10354
% 31.85/32.26 Kept: 2155
% 31.85/32.26 Inuse: 130
% 31.85/32.26 Deleted: 1
% 31.85/32.26 Deletedinuse: 0
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 23696
% 31.85/32.26 Kept: 4447
% 31.85/32.26 Inuse: 240
% 31.85/32.26 Deleted: 1
% 31.85/32.26 Deletedinuse: 0
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 35042
% 31.85/32.26 Kept: 6508
% 31.85/32.26 Inuse: 304
% 31.85/32.26 Deleted: 2
% 31.85/32.26 Deletedinuse: 0
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 49942
% 31.85/32.26 Kept: 8610
% 31.85/32.26 Inuse: 354
% 31.85/32.26 Deleted: 2
% 31.85/32.26 Deletedinuse: 0
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 64869
% 31.85/32.26 Kept: 11011
% 31.85/32.26 Inuse: 396
% 31.85/32.26 Deleted: 5
% 31.85/32.26 Deletedinuse: 0
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 79997
% 31.85/32.26 Kept: 13361
% 31.85/32.26 Inuse: 455
% 31.85/32.26 Deleted: 9
% 31.85/32.26 Deletedinuse: 3
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 94888
% 31.85/32.26 Kept: 15471
% 31.85/32.26 Inuse: 493
% 31.85/32.26 Deleted: 19
% 31.85/32.26 Deletedinuse: 11
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 108749
% 31.85/32.26 Kept: 17491
% 31.85/32.26 Inuse: 518
% 31.85/32.26 Deleted: 19
% 31.85/32.26 Deletedinuse: 11
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 117282
% 31.85/32.26 Kept: 19501
% 31.85/32.26 Inuse: 538
% 31.85/32.26 Deleted: 21
% 31.85/32.26 Deletedinuse: 13
% 31.85/32.26
% 31.85/32.26 Resimplifying clauses:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 131292
% 31.85/32.26 Kept: 21506
% 31.85/32.26 Inuse: 574
% 31.85/32.26 Deleted: 1258
% 31.85/32.26 Deletedinuse: 13
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 144826
% 31.85/32.26 Kept: 23533
% 31.85/32.26 Inuse: 623
% 31.85/32.26 Deleted: 1258
% 31.85/32.26 Deletedinuse: 13
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 164818
% 31.85/32.26 Kept: 26046
% 31.85/32.26 Inuse: 643
% 31.85/32.26 Deleted: 1259
% 31.85/32.26 Deletedinuse: 14
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 185099
% 31.85/32.26 Kept: 28295
% 31.85/32.26 Inuse: 663
% 31.85/32.26 Deleted: 1268
% 31.85/32.26 Deletedinuse: 23
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 205126
% 31.85/32.26 Kept: 30295
% 31.85/32.26 Inuse: 705
% 31.85/32.26 Deleted: 1268
% 31.85/32.26 Deletedinuse: 23
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 222232
% 31.85/32.26 Kept: 32397
% 31.85/32.26 Inuse: 733
% 31.85/32.26 Deleted: 1268
% 31.85/32.26 Deletedinuse: 23
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 235463
% 31.85/32.26 Kept: 34482
% 31.85/32.26 Inuse: 763
% 31.85/32.26 Deleted: 1268
% 31.85/32.26 Deletedinuse: 23
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 262653
% 31.85/32.26 Kept: 37485
% 31.85/32.26 Inuse: 800
% 31.85/32.26 Deleted: 1271
% 31.85/32.26 Deletedinuse: 23
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26
% 31.85/32.26 Intermediate Status:
% 31.85/32.26 Generated: 284307
% 31.85/32.26 Kept: 39749
% 31.85/32.26 Inuse: 811
% 31.85/32.26 Deleted: 1271
% 31.85/32.26 Deletedinuse: 23
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying inuse:
% 31.85/32.26 Done
% 31.85/32.26
% 31.85/32.26 Resimplifying clauses:
% 31.85/32.26 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 304511
% 294.45/294.85 Kept: 41962
% 294.45/294.85 Inuse: 830
% 294.45/294.85 Deleted: 2527
% 294.45/294.85 Deletedinuse: 23
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 314386
% 294.45/294.85 Kept: 43987
% 294.45/294.85 Inuse: 875
% 294.45/294.85 Deleted: 2528
% 294.45/294.85 Deletedinuse: 24
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 325552
% 294.45/294.85 Kept: 46106
% 294.45/294.85 Inuse: 895
% 294.45/294.85 Deleted: 2528
% 294.45/294.85 Deletedinuse: 24
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 339808
% 294.45/294.85 Kept: 48114
% 294.45/294.85 Inuse: 925
% 294.45/294.85 Deleted: 2528
% 294.45/294.85 Deletedinuse: 24
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 356526
% 294.45/294.85 Kept: 50315
% 294.45/294.85 Inuse: 945
% 294.45/294.85 Deleted: 2528
% 294.45/294.85 Deletedinuse: 24
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 371667
% 294.45/294.85 Kept: 52531
% 294.45/294.85 Inuse: 972
% 294.45/294.85 Deleted: 2531
% 294.45/294.85 Deletedinuse: 24
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 383371
% 294.45/294.85 Kept: 54715
% 294.45/294.85 Inuse: 996
% 294.45/294.85 Deleted: 2532
% 294.45/294.85 Deletedinuse: 24
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 402546
% 294.45/294.85 Kept: 56715
% 294.45/294.85 Inuse: 1038
% 294.45/294.85 Deleted: 2536
% 294.45/294.85 Deletedinuse: 28
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 416315
% 294.45/294.85 Kept: 58756
% 294.45/294.85 Inuse: 1056
% 294.45/294.85 Deleted: 2738
% 294.45/294.85 Deletedinuse: 230
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 424923
% 294.45/294.85 Kept: 60840
% 294.45/294.85 Inuse: 1091
% 294.45/294.85 Deleted: 2738
% 294.45/294.85 Deletedinuse: 230
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying clauses:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 438876
% 294.45/294.85 Kept: 63540
% 294.45/294.85 Inuse: 1111
% 294.45/294.85 Deleted: 8819
% 294.45/294.85 Deletedinuse: 230
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 463109
% 294.45/294.85 Kept: 66447
% 294.45/294.85 Inuse: 1151
% 294.45/294.85 Deleted: 8819
% 294.45/294.85 Deletedinuse: 230
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 474859
% 294.45/294.85 Kept: 68662
% 294.45/294.85 Inuse: 1166
% 294.45/294.85 Deleted: 8819
% 294.45/294.85 Deletedinuse: 230
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 486121
% 294.45/294.85 Kept: 71012
% 294.45/294.85 Inuse: 1196
% 294.45/294.85 Deleted: 8819
% 294.45/294.85 Deletedinuse: 230
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 501230
% 294.45/294.85 Kept: 73017
% 294.45/294.85 Inuse: 1235
% 294.45/294.85 Deleted: 8825
% 294.45/294.85 Deletedinuse: 236
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 514070
% 294.45/294.85 Kept: 75302
% 294.45/294.85 Inuse: 1260
% 294.45/294.85 Deleted: 8829
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 542128
% 294.45/294.85 Kept: 77821
% 294.45/294.85 Inuse: 1275
% 294.45/294.85 Deleted: 8829
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 570340
% 294.45/294.85 Kept: 79833
% 294.45/294.85 Inuse: 1289
% 294.45/294.85 Deleted: 8829
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 594948
% 294.45/294.85 Kept: 82368
% 294.45/294.85 Inuse: 1315
% 294.45/294.85 Deleted: 8829
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying clauses:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 612795
% 294.45/294.85 Kept: 84369
% 294.45/294.85 Inuse: 1333
% 294.45/294.85 Deleted: 10590
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 630506
% 294.45/294.85 Kept: 86374
% 294.45/294.85 Inuse: 1370
% 294.45/294.85 Deleted: 10590
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 642405
% 294.45/294.85 Kept: 90058
% 294.45/294.85 Inuse: 1385
% 294.45/294.85 Deleted: 10590
% 294.45/294.85 Deletedinuse: 239
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 653879
% 294.45/294.85 Kept: 92073
% 294.45/294.85 Inuse: 1401
% 294.45/294.85 Deleted: 10591
% 294.45/294.85 Deletedinuse: 240
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: 666392
% 294.45/294.85 Kept: 94364
% 294.45/294.85 Inuse: 1425
% 294.45/294.85 Deleted: 10591
% 294.45/294.85 Deletedinuse: 240
% 294.45/294.85
% 294.45/294.85 Resimplifying inuse:
% 294.45/294.85 Done
% 294.45/294.85
% 294.45/294.85
% 294.45/294.85 Intermediate Status:
% 294.45/294.85 Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------