%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV673-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:41 EDT 2022
% Result : Timeout 300.04s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV673-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 17:39:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/1.34 *** allocated 10000 integers for termspace/termends
% 0.94/1.34 *** allocated 10000 integers for clauses
% 0.94/1.34 *** allocated 10000 integers for justifications
% 0.94/1.34 *** allocated 15000 integers for termspace/termends
% 0.94/1.34 *** allocated 22500 integers for termspace/termends
% 0.94/1.34 Bliksem 1.12
% 0.94/1.34
% 0.94/1.34
% 0.94/1.34 Automatic Strategy Selection
% 0.94/1.34
% 0.94/1.34 Clauses:
% 0.94/1.34 [
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.94/1.34 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ), =( Y, X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 0.94/1.34 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' )
% 0.94/1.34 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.94/1.34 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), =( Y, X
% 0.94/1.34 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.94/1.34 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' )
% 0.94/1.34 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.34 ), =( Z, Y ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.34 , 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.34 , Z, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.34 , 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y
% 0.94/1.34 , Z, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Z, Y
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.34 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.94/1.34 , 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, X, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.34 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.34 'tc_nat' ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.34 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.94/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.34 'c_GCD_Ogcd__class_Ogcd'( Y, 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat'
% 0.94/1.34 ), 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 0.94/1.34 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.94/1.34 Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.94/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.94/1.34 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.94/1.34 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.94/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , Z, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , Z, X ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.94/1.34 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.34 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.34 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.34 , T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.94/1.34 X ) ],
% 0.94/1.34 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.34 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.94/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.94/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.94/1.34 , X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.94/1.34 , X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.94/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.34 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.34 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.94/1.34 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.34 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.94/1.34 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.34 Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.94/1.34 Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.34 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.34 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.34 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.94/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.94/1.34 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.94/1.34 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.34 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.34 X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.34 T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.34 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.34 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.34 , X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.94/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.34 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.34 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.94/1.34 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.34 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.94/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.34 , T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.94/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.94/1.34 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.34 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.34 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.34 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.34 , Y, X ) ) ],
% 0.94/1.34 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.94/1.34 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.34 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.94/1.34 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.34 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.94/1.34 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.94/1.34 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.34 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.94/1.34 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.34 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.94/1.34 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.34 , 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.94/1.34 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.94/1.34 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ), T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.94/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.94/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.94/1.34 , X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.94/1.34 , X ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.34 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.34 ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.34 ), 'tc_nat' ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.34 , X, 'tc_nat' ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.94/1.34 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.34 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.34 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.94/1.34 Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.34 , Z, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat'
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.94/1.34 Y, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.34 , Y, 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat'
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.94/1.34 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.34 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.34 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.94/1.34 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.34 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.34 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.34 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.94/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.94/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.34 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.34 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.34 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.94/1.34 , X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Y, T, X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 Y, T, X ), Z, X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), Y,
% 0.94/1.34 'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X,
% 0.94/1.34 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 0.94/1.34 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.94/1.34 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.94/1.34 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 0.94/1.34 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.94/1.34 Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.94/1.34 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 0.94/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.94/1.34 Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.94/1.34 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.94/1.34 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.34 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.94/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.94/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.34 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.34 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 0.94/1.34 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'( 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 'c_Suc'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.94/1.34 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.94/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.94/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.94/1.34 X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.94/1.35 X ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.94/1.35 X ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.35 X ) ) ), =( Y, T ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.94/1.35 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.94/1.35 Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.35 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.94/1.35 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.94/1.35 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.94/1.35 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), Y, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.94/1.35 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.35 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.94/1.35 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.35 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y
% 0.94/1.35 , Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.35 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.94/1.35 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.94/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.35 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.35 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.35 , X ), W, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.94/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.35 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.94/1.35 , X ), T, X ), W, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.35 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.94/1.35 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.94/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.94/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.94/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.35 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.35 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.94/1.35 X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.35 , T, X ), X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.94/1.35 ), Y ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.94/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.94/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.94/1.35 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.35 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.94/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.94/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.94/1.35 , 'tc_nat' ), X ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.35 , 'tc_nat' ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.94/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.94/1.35 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.35 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, X, 'tc_nat' ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.35 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.35 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.35 , X ), W, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 X, T, 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.35 , T, X ), X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.35 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , Z, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.35 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , Z, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.35 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , T, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , T, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.35 Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.35 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.94/1.35 W, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.94/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.94/1.35 , X ), T, X ), W, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.94/1.35 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.94/1.35 W, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.94/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.35 , X ), W, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.35 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.94/1.35 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.94/1.35 Z, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'tc_nat' ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y,
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 0.94/1.35 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.94/1.35 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 0.94/1.35 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 0.94/1.35 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.94/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.94/1.35 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.94/1.35 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.94/1.35 X ), Z, X ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.35 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.35 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 Y, X, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.35 X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35 , U, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.94/1.35 ), Y ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.94/1.35 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.94/1.35 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, T, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.94/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.94/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.94/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.94/1.35 , X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.94/1.35 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.94/1.35 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.94/1.35 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.94/1.35 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X
% 0.94/1.35 , Z, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat'
% 0.94/1.35 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.35 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.35 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.94/1.35 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~( =( 'v_a',
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.94/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.94/1.35 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.94/1.35 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.94/1.35 Z ), T, 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.94/1.35 'tc_nat' ), X ), Y, X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.94/1.35 ), Y, X ) ), =( Z, T ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.94/1.35 X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.94/1.35 X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.94/1.35 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.94/1.35 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), Y ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.94/1.35 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.94/1.35 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.35 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.94/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.94/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.94/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Y, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_GCD_Ogcd__class_Ogcd'( Y, 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat'
% 0.94/1.35 ), 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.94/1.35 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( X, Y,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.94/1.35 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), Z, 'tc_nat' ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X
% 0.94/1.35 , 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y
% 0.94/1.35 , 'tc_nat' ), Z, 'tc_nat' ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y
% 0.94/1.35 , 'tc_nat' ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, X, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_nat' ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.94/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.94/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.94/1.35 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.35 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.35 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.94/1.35 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.94/1.35 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.35 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.94/1.35 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.35 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.94/1.35 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.94/1.35 , U, X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.94/1.35 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.94/1.35 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.35 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.35 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.35 Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.94/1.35 ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 0.94/1.35 , Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Ring__and__Field_Odvd__class_Odvd'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35 , Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ),
% 0.94/1.35 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.94/1.35 , X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.94/1.35 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.94/1.35 , 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.94/1.35 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.35 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.94/1.35 'tc_nat' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, T, X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.94/1.35 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.35 Y, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.94/1.35 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.35 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.35 ), X ), Y ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.94/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.94/1.35 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35 , T, X ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , T, X ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Ofield'( 't_a' ) ],
% 0.94/1.35 [ 'c_lessequals'( 'v_m', 'v_n', 'tc_nat' ) ],
% 0.94/1.35 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.35 'v_a', 't_a' ), 'c_HOL_Ominus__class_Ominus'( 'v_n', 'v_m', 'tc_nat' ),
% 0.94/1.35 't_a' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 0.94/1.35 'v_a', 'v_m', 't_a' ), 'c_Power_Opower__class_Opower'( 'v_a', 'v_n',
% 0.94/1.35 't_a' ), 't_a' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Odivision__ring'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_OrderedGroup_Ogroup__add'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Oring__1'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Oring'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Oidom'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.35 'class_Ring__and__Field_Odvd'( X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_Power_Opower'( X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.94/1.35 ],
% 0.94/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.94/1.35 ],
% 0.94/1.35 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.35 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 0.94/1.35 ] .
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35 percentage equality = 0.182875, percentage horn = 0.824340
% 0.94/1.35 This is a problem with some equality
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35 Options Used:
% 0.94/1.35
% 0.94/1.35 useres = 1
% 0.94/1.35 useparamod = 1
% 0.94/1.35 useeqrefl = 1
% 0.94/1.35 useeqfact = 1
% 0.94/1.35 usefactor = 1
% 0.94/1.35 usesimpsplitting = 0
% 0.94/1.35 usesimpdemod = 5
% 0.94/1.35 usesimpres = 3
% 0.94/1.35
% 0.94/1.35 resimpinuse = 1000
% 0.98/1.61 resimpclauses = 20000
% 0.98/1.61 substype = eqrewr
% 0.98/1.61 backwardsubs = 1
% 0.98/1.61 selectoldest = 5
% 0.98/1.61
% 0.98/1.61 litorderings [0] = split
% 0.98/1.61 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.61
% 0.98/1.61 termordering = kbo
% 0.98/1.61
% 0.98/1.61 litapriori = 0
% 0.98/1.61 termapriori = 1
% 0.98/1.61 litaposteriori = 0
% 0.98/1.61 termaposteriori = 0
% 0.98/1.61 demodaposteriori = 0
% 0.98/1.61 ordereqreflfact = 0
% 0.98/1.61
% 0.98/1.61 litselect = negord
% 0.98/1.61
% 0.98/1.61 maxweight = 15
% 0.98/1.61 maxdepth = 30000
% 0.98/1.61 maxlength = 115
% 0.98/1.61 maxnrvars = 195
% 0.98/1.61 excuselevel = 1
% 0.98/1.61 increasemaxweight = 1
% 0.98/1.61
% 0.98/1.61 maxselected = 10000000
% 0.98/1.61 maxnrclauses = 10000000
% 0.98/1.61
% 0.98/1.61 showgenerated = 0
% 0.98/1.61 showkept = 0
% 0.98/1.61 showselected = 0
% 0.98/1.61 showdeleted = 0
% 0.98/1.61 showresimp = 1
% 0.98/1.61 showstatus = 2000
% 0.98/1.61
% 0.98/1.61 prologoutput = 1
% 0.98/1.61 nrgoals = 5000000
% 0.98/1.61 totalproof = 1
% 0.98/1.61
% 0.98/1.61 Symbols occurring in the translation:
% 0.98/1.61
% 0.98/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.61 . [1, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.98/1.61 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 0.98/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.61 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.98/1.61 'c_HOL_Ozero__class_Ozero' [40, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.98/1.61 'c_Suc' [41, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.98/1.61 'c_Ring__and__Field_Odvd__class_Odvd' [42, 3] (w:1, o:150, a:1, s:1
% 0.98/1.61 , b:0),
% 0.98/1.61 'class_Ring__and__Field_Oordered__field' [44, 1] (w:1, o:64, a:1, s:1
% 0.98/1.61 , b:0),
% 0.98/1.61 'class_Ring__and__Field_Odivision__by__zero' [45, 1] (w:1, o:69, a:1
% 0.98/1.61 , s:1, b:0),
% 0.98/1.61 'c_HOL_Oinverse__class_Odivide' [48, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.98/1.61
% 0.98/1.61 'c_lessequals' [50, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.98/1.61 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.98/1.61 'c_HOL_Otimes__class_Otimes' [52, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.98/1.61 'class_OrderedGroup_Opordered__comm__monoid__add' [53, 1] (w:1, o:71
% 0.98/1.61 , a:1, s:1, b:0),
% 0.98/1.61 'c_HOL_Oplus__class_Oplus' [54, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Oordered__ring__strict' [55, 1] (w:1, o:72
% 0.98/1.61 , a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Ocomm__semiring__1' [56, 1] (w:1, o:67, a:1
% 0.98/1.61 , s:1, b:0),
% 0.98/1.61 'c_HOL_Oinverse__class_Oinverse' [62, 2] (w:1, o:146, a:1, s:1, b:0)
% 0.98/1.61 ,
% 0.98/1.61 'c_HOL_Oone__class_Oone' [63, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.98/1.61 'c_Divides_Odiv__class_Omod' [66, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Ofield' [67, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Oordered__semidom' [68, 1] (w:1, o:75, a:1
% 0.98/1.61 , s:1, b:0),
% 0.98/1.61 'c_Power_Opower__class_Opower' [69, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.98/1.61 'class_Orderings_Olinorder' [70, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Oordered__idom' [72, 1] (w:1, o:77, a:1, s:1
% 0.98/1.61 , b:0),
% 0.98/1.61 'c_GCD_Ogcd__class_Ogcd' [74, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Oidom' [76, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Ozero__neq__one' [79, 1] (w:1, o:79, a:1, s:1
% 0.98/1.61 , b:0),
% 0.98/1.61 'class_Ring__and__Field_Oordered__semiring__strict' [80, 1] (w:1, o:
% 0.98/1.61 80, a:1, s:1, b:0),
% 0.98/1.61 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:81, a:
% 0.98/1.61 1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Oring__no__zero__divisors' [82, 1] (w:1, o:82
% 0.98/1.61 , a:1, s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Ono__zero__divisors' [83, 1] (w:1, o:63, a:1
% 0.98/1.61 , s:1, b:0),
% 0.98/1.61 'class_Ring__and__Field_Oordered__semiring' [86, 1] (w:1, o:83, a:1
% 0.98/1.61 , s:1, b:0),
% 0.98/1.61 'class_Int_Onumber__ring' [87, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.98/1.61 'class_Nat_Osemiring__char__0' [88, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.98/1.61 'c_Nat_Osemiring__1__class_Oof__nat' [89, 2] (w:1, o:147, a:1, s:1
% 0.98/1.61 , b:0),
% 0.98/1.61 'class_Divides_Osemiring__div' [90, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.98/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [91, 1]
% 0.98/1.61 (w:1, o:87, a:1, s:1, b:0),
% 0.98/1.61 'class_OrderedGroup_Ocomm__monoid__add' [92, 1] (w:1, o:88, a:1, s:1
% 0.98/1.61 , b:0),
% 0.98/1.61 'c_Parity_Oeven__odd__class_Oeven' [93, 2] (w:1, o:148, a:1, s:1, b:0
% 0.98/1.61 ),
% 0.98/1.61 'class_Ring__and__Field_Oring' [94, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.98/1.61 'c_HOL_Ominus__class_Ominus' [96, 3] (w:1, o:159, a:1, s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Osemiring__0' [99, 1] (w:1, o:92, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_Power_Opower' [100, 1] (w:1, o:108, a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Omonoid__mult' [101, 1] (w:1, o:93, a:1, s:1, b:0
% 11.23/11.58 ),
% 11.23/11.58 'class_OrderedGroup_Ocomm__monoid__mult' [102, 1] (w:1, o:94, a:1, s:
% 11.23/11.58 1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Odvd' [103, 1] (w:1, o:109, a:1, s:1, b:0),
% 11.23/11.58 'class_Orderings_Oorder' [104, 1] (w:1, o:95, a:1, s:1, b:0),
% 11.23/11.58 'class_Orderings_Opreorder' [105, 1] (w:1, o:96, a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Oab__group__add' [106, 1] (w:1, o:97, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_OrderedGroup_Oab__semigroup__idem__mult' [107, 1] (w:1, o:98
% 11.23/11.58 , a:1, s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Omult__zero' [108, 1] (w:1, o:60, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_Ring__and__Field_Omult__mono1' [109, 1] (w:1, o:61, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_Ring__and__Field_Omult__mono' [110, 1] (w:1, o:62, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_Ring__and__Field_Opordered__ring' [111, 1] (w:1, o:111, a:1
% 11.23/11.58 , s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Odivision__ring' [113, 1] (w:1, o:112, a:1
% 11.23/11.58 , s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Osemiring__1' [114, 1] (w:1, o:113, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_Ring__and__Field_Ocomm__ring' [115, 1] (w:1, o:65, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_Ring__and__Field_Opordered__cancel__semiring' [118, 1] (w:1
% 11.23/11.58 , o:114, a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Oab__semigroup__mult' [119, 1] (w:1, o:99, a:1
% 11.23/11.58 , s:1, b:0),
% 11.23/11.58 'class_RealVector_Oreal__normed__algebra' [120, 1] (w:1, o:115, a:1
% 11.23/11.58 , s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Ocomm__semiring' [125, 1] (w:1, o:68, a:1, s:
% 11.23/11.58 1, b:0),
% 11.23/11.58 'class_OrderedGroup_Oab__semigroup__add' [126, 1] (w:1, o:100, a:1
% 11.23/11.58 , s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Osemiring' [127, 1] (w:1, o:116, a:1, s:1, b:
% 11.23/11.58 0),
% 11.23/11.58 'class_SEQ_Obanach' [128, 1] (w:1, o:120, a:1, s:1, b:0),
% 11.23/11.58 'class_RealVector_Oreal__normed__field' [129, 1] (w:1, o:117, a:1, s:
% 11.23/11.58 1, b:0),
% 11.23/11.58 'c_Transcendental_Oexp' [130, 2] (w:1, o:149, a:1, s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Oordered__comm__semiring__strict' [131, 1]
% 11.23/11.58 (w:1, o:110, a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Omonoid__add' [132, 1] (w:1, o:101, a:1, s:1, b:0
% 11.23/11.58 ),
% 11.23/11.58 'class_Ring__and__Field_Opordered__semiring' [133, 1] (w:1, o:118, a:
% 11.23/11.58 1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Ocancel__ab__semigroup__add' [134, 1] (w:1, o:102
% 11.23/11.58 , a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Ocancel__semigroup__add' [135, 1] (w:1, o:103, a:
% 11.23/11.58 1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [137, 1]
% 11.23/11.58 (w:1, o:104, a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Opordered__ab__group__add' [138, 1] (w:1, o:105
% 11.23/11.58 , a:1, s:1, b:0),
% 11.23/11.58 'class_OrderedGroup_Opordered__ab__semigroup__add' [139, 1] (w:1, o:
% 11.23/11.58 106, a:1, s:1, b:0),
% 11.23/11.58 'class_Divides_Oring__div' [141, 1] (w:1, o:85, a:1, s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Ocomm__ring__1' [144, 1] (w:1, o:66, a:1, s:1
% 11.23/11.58 , b:0),
% 11.23/11.58 'class_OrderedGroup_Ogroup__add' [145, 1] (w:1, o:107, a:1, s:1, b:0)
% 11.23/11.58 ,
% 11.23/11.58 'class_RealVector_Oreal__field' [149, 1] (w:1, o:119, a:1, s:1, b:0)
% 11.23/11.58 ,
% 11.23/11.58 'class_Ring__and__Field_Oring__1__no__zero__divisors' [151, 1] (w:1
% 11.23/11.58 , o:90, a:1, s:1, b:0),
% 11.23/11.58 't_a' [152, 0] (w:1, o:46, a:1, s:1, b:0),
% 11.23/11.58 'v_a' [153, 0] (w:1, o:47, a:1, s:1, b:0),
% 11.23/11.58 'class_Ring__and__Field_Oring__1' [156, 1] (w:1, o:91, a:1, s:1, b:0)
% 11.23/11.58 ,
% 11.23/11.58 'v_m' [157, 0] (w:1, o:50, a:1, s:1, b:0),
% 11.23/11.58 'v_n' [158, 0] (w:1, o:51, a:1, s:1, b:0).
% 11.23/11.58
% 11.23/11.58
% 11.23/11.58 Starting Search:
% 11.23/11.58
% 11.23/11.58 Resimplifying inuse:
% 11.23/11.58 Done
% 11.23/11.58
% 11.23/11.58
% 11.23/11.58 Intermediate Status:
% 11.23/11.58 Generated: 4723
% 11.23/11.58 Kept: 2000
% 11.23/11.58 Inuse: 149
% 11.23/11.58 Deleted: 9
% 11.23/11.58 Deletedinuse: 0
% 11.23/11.58
% 11.23/11.58 Resimplifying inuse:
% 11.23/11.58 Done
% 11.23/11.58
% 11.23/11.58 Resimplifying inuse:
% 11.23/11.58 Done
% 11.23/11.58
% 11.23/11.58
% 11.23/11.58 Intermediate Status:
% 11.23/11.58 Generated: 13154
% 11.23/11.58 Kept: 4004
% 11.23/11.58 Inuse: 210
% 11.23/11.58 Deleted: 9
% 11.23/11.58 Deletedinuse: 0
% 11.23/11.58
% 11.23/11.58 Resimplifying inuse:
% 11.23/11.58 Done
% 11.23/11.58
% 11.23/11.58 Resimplifying inuse:
% 11.23/11.58 Done
% 11.23/11.58
% 11.23/11.58
% 11.23/11.58 Intermediate Status:
% 11.23/11.58 Generated: 21355
% 11.23/11.58 Kept: 6085
% 11.23/11.58 Inuse: 262
% 11.23/11.58 Deleted: 9
% 11.23/11.58 Deletedinuse: 0
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 30293
% 39.05/39.40 Kept: 8103
% 39.05/39.40 Inuse: 301
% 39.05/39.40 Deleted: 10
% 39.05/39.40 Deletedinuse: 0
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 42565
% 39.05/39.40 Kept: 10174
% 39.05/39.40 Inuse: 381
% 39.05/39.40 Deleted: 12
% 39.05/39.40 Deletedinuse: 2
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 55002
% 39.05/39.40 Kept: 12451
% 39.05/39.40 Inuse: 457
% 39.05/39.40 Deleted: 16
% 39.05/39.40 Deletedinuse: 2
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 69613
% 39.05/39.40 Kept: 14460
% 39.05/39.40 Inuse: 528
% 39.05/39.40 Deleted: 21
% 39.05/39.40 Deletedinuse: 3
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 83371
% 39.05/39.40 Kept: 16525
% 39.05/39.40 Inuse: 578
% 39.05/39.40 Deleted: 21
% 39.05/39.40 Deletedinuse: 3
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 99515
% 39.05/39.40 Kept: 18625
% 39.05/39.40 Inuse: 651
% 39.05/39.40 Deleted: 23
% 39.05/39.40 Deletedinuse: 3
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying clauses:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 110216
% 39.05/39.40 Kept: 20686
% 39.05/39.40 Inuse: 684
% 39.05/39.40 Deleted: 1010
% 39.05/39.40 Deletedinuse: 6
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 129665
% 39.05/39.40 Kept: 22849
% 39.05/39.40 Inuse: 701
% 39.05/39.40 Deleted: 1010
% 39.05/39.40 Deletedinuse: 6
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 140762
% 39.05/39.40 Kept: 25352
% 39.05/39.40 Inuse: 713
% 39.05/39.40 Deleted: 1010
% 39.05/39.40 Deletedinuse: 6
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 152811
% 39.05/39.40 Kept: 27646
% 39.05/39.40 Inuse: 761
% 39.05/39.40 Deleted: 1010
% 39.05/39.40 Deletedinuse: 6
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 171072
% 39.05/39.40 Kept: 30185
% 39.05/39.40 Inuse: 800
% 39.05/39.40 Deleted: 1018
% 39.05/39.40 Deletedinuse: 8
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 191074
% 39.05/39.40 Kept: 32299
% 39.05/39.40 Inuse: 834
% 39.05/39.40 Deleted: 1020
% 39.05/39.40 Deletedinuse: 9
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 211916
% 39.05/39.40 Kept: 34761
% 39.05/39.40 Inuse: 844
% 39.05/39.40 Deleted: 1020
% 39.05/39.40 Deletedinuse: 9
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 230096
% 39.05/39.40 Kept: 36779
% 39.05/39.40 Inuse: 900
% 39.05/39.40 Deleted: 1021
% 39.05/39.40 Deletedinuse: 10
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 244861
% 39.05/39.40 Kept: 38787
% 39.05/39.40 Inuse: 949
% 39.05/39.40 Deleted: 1025
% 39.05/39.40 Deletedinuse: 13
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying clauses:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 258271
% 39.05/39.40 Kept: 40792
% 39.05/39.40 Inuse: 978
% 39.05/39.40 Deleted: 1732
% 39.05/39.40 Deletedinuse: 13
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 278933
% 39.05/39.40 Kept: 43612
% 39.05/39.40 Inuse: 1007
% 39.05/39.40 Deleted: 1732
% 39.05/39.40 Deletedinuse: 13
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 302512
% 39.05/39.40 Kept: 46286
% 39.05/39.40 Inuse: 1050
% 39.05/39.40 Deleted: 1748
% 39.05/39.40 Deletedinuse: 27
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 316365
% 39.05/39.40 Kept: 48332
% 39.05/39.40 Inuse: 1060
% 39.05/39.40 Deleted: 1749
% 39.05/39.40 Deletedinuse: 28
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 323314
% 39.05/39.40 Kept: 50344
% 39.05/39.40 Inuse: 1069
% 39.05/39.40 Deleted: 1777
% 39.05/39.40 Deletedinuse: 56
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 336337
% 39.05/39.40 Kept: 52359
% 39.05/39.40 Inuse: 1097
% 39.05/39.40 Deleted: 1780
% 39.05/39.40 Deletedinuse: 56
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 350880
% 39.05/39.40 Kept: 54463
% 39.05/39.40 Inuse: 1122
% 39.05/39.40 Deleted: 1780
% 39.05/39.40 Deletedinuse: 56
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 372908
% 39.05/39.40 Kept: 56718
% 39.05/39.40 Inuse: 1156
% 39.05/39.40 Deleted: 1782
% 39.05/39.40 Deletedinuse: 57
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40
% 39.05/39.40 Intermediate Status:
% 39.05/39.40 Generated: 385047
% 39.05/39.40 Kept: 58906
% 39.05/39.40 Inuse: 1186
% 39.05/39.40 Deleted: 1782
% 39.05/39.40 Deletedinuse: 57
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 39.05/39.40 Done
% 39.05/39.40
% 39.05/39.40 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying clauses:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 404011
% 81.90/82.37 Kept: 62557
% 81.90/82.37 Inuse: 1206
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 422565
% 81.90/82.37 Kept: 64567
% 81.90/82.37 Inuse: 1244
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 442802
% 81.90/82.37 Kept: 67381
% 81.90/82.37 Inuse: 1266
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 459862
% 81.90/82.37 Kept: 69412
% 81.90/82.37 Inuse: 1281
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 475913
% 81.90/82.37 Kept: 71652
% 81.90/82.37 Inuse: 1311
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 488298
% 81.90/82.37 Kept: 74018
% 81.90/82.37 Inuse: 1326
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 499290
% 81.90/82.37 Kept: 76023
% 81.90/82.37 Inuse: 1341
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 514337
% 81.90/82.37 Kept: 78304
% 81.90/82.37 Inuse: 1376
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 546826
% 81.90/82.37 Kept: 81604
% 81.90/82.37 Inuse: 1401
% 81.90/82.37 Deleted: 8966
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying clauses:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 560758
% 81.90/82.37 Kept: 83708
% 81.90/82.37 Inuse: 1416
% 81.90/82.37 Deleted: 9674
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 596936
% 81.90/82.37 Kept: 87118
% 81.90/82.37 Inuse: 1451
% 81.90/82.37 Deleted: 9674
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 626686
% 81.90/82.37 Kept: 89154
% 81.90/82.37 Inuse: 1461
% 81.90/82.37 Deleted: 9674
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 671246
% 81.90/82.37 Kept: 92047
% 81.90/82.37 Inuse: 1476
% 81.90/82.37 Deleted: 9674
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 677952
% 81.90/82.37 Kept: 94848
% 81.90/82.37 Inuse: 1477
% 81.90/82.37 Deleted: 9674
% 81.90/82.37 Deletedinuse: 57
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 686376
% 81.90/82.37 Kept: 98320
% 81.90/82.37 Inuse: 1484
% 81.90/82.37 Deleted: 9676
% 81.90/82.37 Deletedinuse: 58
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 719665
% 81.90/82.37 Kept: 101659
% 81.90/82.37 Inuse: 1505
% 81.90/82.37 Deleted: 9678
% 81.90/82.37 Deletedinuse: 60
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 736561
% 81.90/82.37 Kept: 104632
% 81.90/82.37 Inuse: 1530
% 81.90/82.37 Deleted: 9678
% 81.90/82.37 Deletedinuse: 60
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying clauses:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 751226
% 81.90/82.37 Kept: 106891
% 81.90/82.37 Inuse: 1545
% 81.90/82.37 Deleted: 12843
% 81.90/82.37 Deletedinuse: 64
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 761092
% 81.90/82.37 Kept: 108906
% 81.90/82.37 Inuse: 1565
% 81.90/82.37 Deleted: 12843
% 81.90/82.37 Deletedinuse: 64
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 783317
% 81.90/82.37 Kept: 111752
% 81.90/82.37 Inuse: 1580
% 81.90/82.37 Deleted: 12844
% 81.90/82.37 Deletedinuse: 65
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 794891
% 81.90/82.37 Kept: 113757
% 81.90/82.37 Inuse: 1601
% 81.90/82.37 Deleted: 12846
% 81.90/82.37 Deletedinuse: 67
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 808372
% 81.90/82.37 Kept: 116354
% 81.90/82.37 Inuse: 1627
% 81.90/82.37 Deleted: 12849
% 81.90/82.37 Deletedinuse: 67
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 822901
% 81.90/82.37 Kept: 118373
% 81.90/82.37 Inuse: 1650
% 81.90/82.37 Deleted: 12849
% 81.90/82.37 Deletedinuse: 67
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 850874
% 81.90/82.37 Kept: 121793
% 81.90/82.37 Inuse: 1672
% 81.90/82.37 Deleted: 12849
% 81.90/82.37 Deletedinuse: 67
% 81.90/82.37
% 81.90/82.37 Resimplifying inuse:
% 81.90/82.37 Done
% 81.90/82.37
% 81.90/82.37
% 81.90/82.37 Intermediate Status:
% 81.90/82.37 Generated: 868603
% 202.74/203.20 Kept: 123793
% 202.74/203.20 Inuse: 1677
% 202.74/203.20 Deleted: 12849
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying clauses:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 882536
% 202.74/203.20 Kept: 126804
% 202.74/203.20 Inuse: 1688
% 202.74/203.20 Deleted: 13316
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 894172
% 202.74/203.20 Kept: 128938
% 202.74/203.20 Inuse: 1717
% 202.74/203.20 Deleted: 13316
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 903514
% 202.74/203.20 Kept: 131222
% 202.74/203.20 Inuse: 1737
% 202.74/203.20 Deleted: 13316
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 912570
% 202.74/203.20 Kept: 133223
% 202.74/203.20 Inuse: 1757
% 202.74/203.20 Deleted: 13316
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 945746
% 202.74/203.20 Kept: 136204
% 202.74/203.20 Inuse: 1772
% 202.74/203.20 Deleted: 13316
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 963432
% 202.74/203.20 Kept: 138540
% 202.74/203.20 Inuse: 1797
% 202.74/203.20 Deleted: 13316
% 202.74/203.20 Deletedinuse: 67
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 978792
% 202.74/203.20 Kept: 140559
% 202.74/203.20 Inuse: 1819
% 202.74/203.20 Deleted: 13320
% 202.74/203.20 Deletedinuse: 70
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 991526
% 202.74/203.20 Kept: 144255
% 202.74/203.20 Inuse: 1828
% 202.74/203.20 Deleted: 13322
% 202.74/203.20 Deletedinuse: 72
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying clauses:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1001579
% 202.74/203.20 Kept: 146332
% 202.74/203.20 Inuse: 1831
% 202.74/203.20 Deleted: 14115
% 202.74/203.20 Deletedinuse: 72
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1017113
% 202.74/203.20 Kept: 148337
% 202.74/203.20 Inuse: 1849
% 202.74/203.20 Deleted: 14115
% 202.74/203.20 Deletedinuse: 72
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1032764
% 202.74/203.20 Kept: 150623
% 202.74/203.20 Inuse: 1866
% 202.74/203.20 Deleted: 14115
% 202.74/203.20 Deletedinuse: 72
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1052293
% 202.74/203.20 Kept: 152890
% 202.74/203.20 Inuse: 1891
% 202.74/203.20 Deleted: 14115
% 202.74/203.20 Deletedinuse: 72
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1079160
% 202.74/203.20 Kept: 156756
% 202.74/203.20 Inuse: 1915
% 202.74/203.20 Deleted: 14118
% 202.74/203.20 Deletedinuse: 74
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1106209
% 202.74/203.20 Kept: 159701
% 202.74/203.20 Inuse: 1920
% 202.74/203.20 Deleted: 14118
% 202.74/203.20 Deletedinuse: 74
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1124194
% 202.74/203.20 Kept: 161918
% 202.74/203.20 Inuse: 1924
% 202.74/203.20 Deleted: 14121
% 202.74/203.20 Deletedinuse: 76
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1138183
% 202.74/203.20 Kept: 163922
% 202.74/203.20 Inuse: 1949
% 202.74/203.20 Deleted: 14121
% 202.74/203.20 Deletedinuse: 76
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1147498
% 202.74/203.20 Kept: 166513
% 202.74/203.20 Inuse: 1950
% 202.74/203.20 Deleted: 14121
% 202.74/203.20 Deletedinuse: 76
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying clauses:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1160740
% 202.74/203.20 Kept: 168842
% 202.74/203.20 Inuse: 1974
% 202.74/203.20 Deleted: 15760
% 202.74/203.20 Deletedinuse: 76
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1182290
% 202.74/203.20 Kept: 171870
% 202.74/203.20 Inuse: 1994
% 202.74/203.20 Deleted: 15760
% 202.74/203.20 Deletedinuse: 76
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1198102
% 202.74/203.20 Kept: 173899
% 202.74/203.20 Inuse: 2018
% 202.74/203.20 Deleted: 15766
% 202.74/203.20 Deletedinuse: 82
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1210335
% 202.74/203.20 Kept: 176163
% 202.74/203.20 Inuse: 2034
% 202.74/203.20 Deleted: 15767
% 202.74/203.20 Deletedinuse: 83
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1231455
% 202.74/203.20 Kept: 179103
% 202.74/203.20 Inuse: 2038
% 202.74/203.20 Deleted: 15767
% 202.74/203.20 Deletedinuse: 83
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1238968
% 202.74/203.20 Kept: 181167
% 202.74/203.20 Inuse: 2049
% 202.74/203.20 Deleted: 15767
% 202.74/203.20 Deletedinuse: 83
% 202.74/203.20
% 202.74/203.20 Resimplifying inuse:
% 202.74/203.20 Done
% 202.74/203.20
% 202.74/203.20
% 202.74/203.20 Intermediate Status:
% 202.74/203.20 Generated: 1247500
% 202.74/203.20 Kept: 183433
% 202.74/203.20 Inuse: 2064
% 202.74/203.20 Deleted: 15767
% 202.74/203.20 Deletedinuse: 83
% 202.74/203.20
% 202.74/203.20 ResimCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------