TSTP Solution File: SCT092-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT092-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Mon Jul 18 21:01:09 EDT 2022
% Result : Timeout 300.06s 300.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT092-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 : Sat Jul 2 03:46:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.03/1.38 *** allocated 10000 integers for termspace/termends
% 1.03/1.38 *** allocated 10000 integers for clauses
% 1.03/1.38 *** allocated 10000 integers for justifications
% 1.03/1.38 *** allocated 15000 integers for termspace/termends
% 1.03/1.38 *** allocated 22500 integers for termspace/termends
% 1.03/1.38 Bliksem 1.12
% 1.03/1.38
% 1.03/1.38
% 1.03/1.38 Automatic Strategy Selection
% 1.03/1.38
% 1.03/1.38 Clauses:
% 1.03/1.38 [
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.03/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.03/1.38 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.03/1.38 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.38 T, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.38 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.03/1.38 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.38 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.03/1.38 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.03/1.38 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.03/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.03/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.03/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.38 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.03/1.38 Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.03/1.38 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.03/1.38 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.03/1.38 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.03/1.38 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.03/1.38 ), Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.03/1.38 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.03/1.38 X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.03/1.38 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.03/1.38 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.38 , X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y
% 1.03/1.38 , 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z,
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Z
% 1.03/1.38 , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.38 X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.03/1.38 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'c_in'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Oring__1__class_OInts'( X ), X )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'c_in'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_Int_Oring__1__class_OInts'(
% 1.03/1.38 X ), X ), ~( 'c_in'( Z, 'c_Int_Oring__1__class_OInts'( X ), X ) ), ~(
% 1.03/1.38 'c_in'( Y, 'c_Int_Oring__1__class_OInts'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.03/1.38 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.03/1.38 ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.03/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.03/1.38 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.03/1.38 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.03/1.38 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.03/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'c_in'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Oring__1__class_OInts'( X ), X ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.03/1.38 ), 'tc_prod'( Y, Y ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.03/1.38 ), 'tc_prod'( Y, Y ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.03/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.03/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.03/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.03/1.38 , 'tc_prod'( Z, Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.03/1.38 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.03/1.38 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.38 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.03/1.38 'c_Suc'( T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.03/1.38 'c_Suc'( T ) ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.03/1.38 , X ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.38 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.03/1.38 , Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.03/1.38 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 'c_Suc'( U ) )
% 1.03/1.38 , hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T )
% 1.03/1.38 , U ) ) ) ],
% 1.03/1.38 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.03/1.38 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.03/1.38 ), X ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.03/1.38 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.03/1.38 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.03/1.38 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.03/1.38 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.38 T, X ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.03/1.38 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.03/1.38 ), Z ) ), Y ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.03/1.38 ), Z ) ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.03/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.03/1.38 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.03/1.38 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.03/1.38 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T,
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.03/1.38 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.03/1.38 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.03/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.03/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'c_in'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.03/1.38 'c_Int_Oring__1__class_OInts'( X ), X ), ~( 'c_in'( Z,
% 1.03/1.38 'c_Int_Oring__1__class_OInts'( X ), X ) ), ~( 'c_in'( Y,
% 1.03/1.38 'c_Int_Oring__1__class_OInts'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.03/1.38 , X, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.03/1.38 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.03/1.38 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.03/1.38 , X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), 'c_Suc'( Z ) ) ) ), =( Y, T ),
% 1.03/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.03/1.38 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.03/1.38 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), X ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.03/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.03/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.03/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.03/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.03/1.38 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.03/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.03/1.38 Y ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.38 ) ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.03/1.38 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.03/1.38 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.03/1.38 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.03/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.03/1.38 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.03/1.38 ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.38 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 ), Y ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.03/1.38 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.03/1.38 , X ) ), Z ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ), Z ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.38 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 ), =( 'c_HOL_Oinverse__class_Odivide'( Y, U, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.38 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.03/1.38 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_Suc'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.03/1.38 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.03/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.38 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.38 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.03/1.38 , 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.03/1.38 , 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.03/1.38 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.03/1.38 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.03/1.38 X ) ) ],
% 1.03/1.38 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.03/1.38 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.38 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.03/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'c_in'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Oring__1__class_OInts'( X ), X )
% 1.03/1.38 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ) ), ~( 'c_in'( Y, 'c_Int_Oring__1__class_OInts'( X ), X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.38 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.03/1.38 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.03/1.38 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.03/1.38 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.03/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.03/1.38 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.03/1.38 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.03/1.38 ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.03/1.38 ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.03/1.38 ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.38 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.03/1.38 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.03/1.38 , 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.03/1.38 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Z, X ) ), =( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.03/1.38 , T, X ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), T, X ) ), =( T,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.38 ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X ) ), =( U,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Z ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Z ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.03/1.38 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.38 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.03/1.38 , X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.03/1.38 , X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.38 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.38 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.38 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.38 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.38 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.38 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.03/1.38 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.03/1.38 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.03/1.38 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.03/1.38 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.38 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.03/1.38 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.03/1.38 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.03/1.38 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.03/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.38 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.03/1.38 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.38 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 1.03/1.38 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.03/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.03/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.03/1.38 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.38 'tc_nat' ) ) ],
% 1.03/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.03/1.38 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.03/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.03/1.38 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.03/1.38 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.03/1.38 ), 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.03/1.38 ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.03/1.38 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.38 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.03/1.38 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.38 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.03/1.38 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , X ), Y ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , Y ), X ), 'tc_nat' ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , X ), Y ), 'tc_nat' ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.03/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.03/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.03/1.38 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.03/1.38 Y ) ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.03/1.38 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.03/1.38 ) ) ) ],
% 1.03/1.38 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.03/1.38 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.03/1.38 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.03/1.38 Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.38 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.03/1.38 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.03/1.38 Y ) ) ) ],
% 1.03/1.38 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.03/1.38 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.03/1.38 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.03/1.38 ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.03/1.38 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.03/1.38 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.38 'tc_nat' ) ), Y ) ],
% 1.03/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 1.03/1.38 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 1.03/1.38 'tc_prod'( T, U ) ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omlex__prod'( T, U, Z )
% 1.03/1.38 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), U, 'tc_prod'( Z
% 1.03/1.38 , Z ) ) ), ~( 'c_lessequals'( hAPP( T, X ), hAPP( T, Y ), 'tc_nat' ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_in'( Y,
% 1.03/1.38 'c_Int_Oring__1__class_OInts'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.03/1.38 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.03/1.38 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.03/1.38 ), Y ), 'c_Suc'( Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.03/1.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.38 , Y, X ) ) ],
% 1.03/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.03/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.03/1.38 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X,
% 1.03/1.38 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 1.03/1.38 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 1.03/1.38 Z ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 1.03/1.38 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 1.03/1.38 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 1.03/1.38 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 1.03/1.38 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 1.03/1.38 ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 1.03/1.38 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 1.03/1.38 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 1.03/1.38 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 1.03/1.38 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.03/1.38 ) ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_in'( Y,
% 1.03/1.38 'c_Int_Oring__1__class_OInts'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.03/1.38 ) ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_in'( Y, 'c_Int_Oring__1__class_OInts'( X ), X ) ) ],
% 1.03/1.38 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 1.03/1.38 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 1.03/1.38 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 1.03/1.38 , Z ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 1.03/1.38 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 1.03/1.38 , Z ) ) ],
% 1.03/1.38 [ 'c_List_Oall__from__to__nat'( X, Y, Z ), ~( hBOOL( hAPP( X, Y ) ) ),
% 1.03/1.38 ~( 'c_List_Oall__from__to__nat'( X, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.38 'tc_nat' ) ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.03/1.38 , T ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.03/1.38 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.03/1.38 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.03/1.38 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.38 'tc_nat' ) ), Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.38 'tc_nat' ) ), Y ) ],
% 1.03/1.38 [ hBOOL( hAPP( X, Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.03/1.38 ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ],
% 1.03/1.38 [ 'c_List_Oall__from__to__nat'( X, Y, Z ), 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.38 , Z, 'tc_nat' ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.03/1.38 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.38 ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.03/1.38 Y ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.38 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.03/1.38 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.03/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.03/1.38 , X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.38 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.38 , X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.03/1.38 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 1.03/1.38 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), Z ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.38 Z, X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.03/1.38 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.38 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.38 ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.38 Z, X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ), =( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.03/1.38 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 1.03/1.38 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.03/1.38 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 1.03/1.38 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.03/1.38 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 1.03/1.38 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.03/1.38 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 1.03/1.38 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 1.03/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 1.03/1.38 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 1.03/1.38 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 1.03/1.38 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 1.03/1.38 ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 1.03/1.38 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 1.03/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 1.03/1.38 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.03/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 1.03/1.38 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 1.03/1.38 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ) ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ) ), X ), Z, X ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.03/1.38 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.03/1.38 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.03/1.38 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.03/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.38 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.38 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.03/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.03/1.38 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.03/1.38 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omlex__prod'( T, U, Z )
% 1.03/1.38 , 'tc_prod'( Z, Z ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( T, X ), hAPP(
% 1.03/1.38 T, Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omeasure'( T, Z ),
% 1.03/1.38 'tc_prod'( Z, Z ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( T, X ), hAPP( T
% 1.03/1.38 , Y ), 'tc_nat' ) ) ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( hAPP( X, Y ), hAPP( X, Z ), 'tc_nat' ), ~(
% 1.03/1.38 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Wellfounded_Omeasure'( X, T ),
% 1.03/1.38 'tc_prod'( T, T ) ) ) ],
% 1.03/1.38 [ 'c_List_Oall__from__to__nat'( X, hAPP( hAPP(
% 1.03/1.38 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.38 'tc_nat' ) ), Z ), ~( hBOOL( hAPP( X, Y ) ) ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.03/1.38 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.03/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 1.03/1.38 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 1.03/1.38 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.03/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 1.03/1.38 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 1.03/1.38 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.03/1.38 ,
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.38 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.03/1.38 ],
% 1.03/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.03/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.38 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.39 , Z ), Y ), 'tc_nat' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.39 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.03/1.39 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.39 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.03/1.39 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.03/1.39 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.03/1.39 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.03/1.39 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.03/1.39 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.03/1.39 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.03/1.39 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.03/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.39 T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.03/1.39 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.03/1.39 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.39 ), =( Z, Y ) ],
% 1.03/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.03/1.39 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.03/1.39 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.39 , Y, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.39 , X ) ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.03/1.39 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.39 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.03/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.39 X, T, 'tc_nat' ) ],
% 1.03/1.39 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.03/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.03/1.39 'tc_nat' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.39 'tc_nat' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.03/1.39 'tc_nat' ) ) ],
% 1.03/1.39 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.39 'tc_nat' ) ) ],
% 1.03/1.39 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.03/1.39 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.03/1.39 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.03/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 X ), Y ), Z ) ), T ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.39 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.03/1.39 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 X ), Y ), Z ) ), T ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.03/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.03/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.03/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.03/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.03/1.39 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
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% 1.03/1.39 'v_n____' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ), ~(
% 1.03/1.39 'c_in'( 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.03/1.39 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.03/1.39 hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ), ~( 'c_in'( 'c_Pair'( 'v_c____', 'v_e____',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'c_Arrow__Order__Mirabelle_Oabove'( hAPP( 'v_P____', 'v_x' ), 'v_c____',
% 1.03/1.39 'v_e____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_c____',
% 1.03/1.39 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.03/1.39 hAPP( 'v_P____', 'v_x' ), 'v_e____' ), 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ) ],
% 1.03/1.39 [ ~( 'c_HOL_Oord__class_Oless'( 'v_h____'( 'v_x' ), hAPP( hAPP(
% 1.03/1.39 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.03/1.39 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_in'( 'c_Pair'(
% 1.03/1.39 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ), ~( 'c_in'( 'c_Pair'( 'v_c____', 'v_e____',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 1.03/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_c____',
% 1.03/1.39 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.03/1.39 hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ), ~( 'c_in'( 'c_Pair'( 'v_c____', 'v_e____',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 1.03/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ ~( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'v_Lba____', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 1.03/1.39 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_Lab____', 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ), ~( 'c_in'( 'c_Pair'( 'v_c____', 'v_e____',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 1.03/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_c____',
% 1.03/1.39 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.03/1.39 hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'(
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.03/1.39 ), ~( 'c_in'( 'c_Pair'( 'v_c____', 'v_e____',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.03/1.39 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 1.03/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.03/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.03/1.39 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.39 'class_Orderings_Opreorder'( Y ) ) ],
% 1.03/1.39 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.03/1.39 'class_Orderings_Oorder'( Y ) ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.03/1.39 ],
% 1.03/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.03/1.39 ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.03/1.39 ],
% 1.03/1.39 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.03/1.39 ,
% 1.03/1.39 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.03/1.39 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.03/1.39 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.03/1.39 [ 'c_fequal'( X, X, Y ) ],
% 1.03/1.39 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.03/1.39 ] .
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 percentage equality = 0.154960, percentage horn = 0.794613
% 1.03/1.39 This is a problem with some equality
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Options Used:
% 1.03/1.39
% 1.03/1.39 useres = 1
% 1.03/1.39 useparamod = 1
% 1.03/1.39 useeqrefl = 1
% 1.03/1.39 useeqfact = 1
% 1.03/1.39 usefactor = 1
% 1.03/1.39 usesimpsplitting = 0
% 1.03/1.39 usesimpdemod = 5
% 1.03/1.39 usesimpres = 3
% 1.03/1.39
% 1.03/1.39 resimpinuse = 1000
% 1.03/1.39 resimpclauses = 20000
% 1.03/1.39 substype = eqrewr
% 1.03/1.39 backwardsubs = 1
% 1.03/1.39 selectoldest = 5
% 1.03/1.39
% 1.03/1.39 litorderings [0] = split
% 1.03/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 1.03/1.39
% 1.03/1.39 termordering = kbo
% 1.03/1.39
% 1.03/1.39 litapriori = 0
% 1.03/1.39 termapriori = 1
% 1.03/1.39 litaposteriori = 0
% 1.03/1.39 termaposteriori = 0
% 1.03/1.39 demodaposteriori = 0
% 1.03/1.39 ordereqreflfact = 0
% 1.03/1.39
% 1.03/1.39 litselect = negord
% 1.03/1.39
% 1.03/1.39 maxweight = 15
% 1.03/1.39 maxdepth = 30000
% 1.03/1.39 maxlength = 115
% 1.03/1.39 maxnrvars = 195
% 1.03/1.39 excuselevel = 1
% 1.03/1.39 increasemaxweight = 1
% 1.03/1.39
% 1.03/1.39 maxselected = 10000000
% 1.03/1.39 maxnrclauses = 10000000
% 1.03/1.39
% 1.03/1.39 showgenerated = 0
% 1.03/1.39 showkept = 0
% 1.03/1.39 showselected = 0
% 1.03/1.39 showdeleted = 0
% 1.03/1.39 showresimp = 1
% 1.03/1.39 showstatus = 2000
% 1.03/1.39
% 1.03/1.39 prologoutput = 1
% 1.03/1.39 nrgoals = 5000000
% 1.03/1.39 totalproof = 1
% 1.03/1.39
% 1.03/1.39 Symbols occurring in the translation:
% 1.03/1.39
% 1.03/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.03/1.39 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.03/1.39 ! [4, 1] (w:0, o:68, a:1, s:1, b:0),
% 1.03/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.03/1.39 'class_OrderedGroup_Ocomm__monoid__mult' [40, 1] (w:1, o:73, a:1, s:1
% 1.03/1.39 , b:0),
% 1.03/1.39 'c_Power_Opower__class_Opower' [41, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.03/1.39 'c_HOL_Otimes__class_Otimes' [42, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.41/1.75 hAPP [44, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.41/1.75 'c_Suc' [48, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.41/1.75 'tc_nat' [49, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.41/1.75 'c_HOL_Oord__class_Oless' [50, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.41/1.75 'c_lessequals' [51, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Oordered__semiring__strict' [52, 1] (w:1, o:
% 1.41/1.75 79, a:1, s:1, b:0),
% 1.41/1.75 'c_HOL_Ozero__class_Ozero' [55, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Oab__semigroup__idem__mult' [56, 1] (w:1, o:81
% 1.41/1.75 , a:1, s:1, b:0),
% 1.41/1.75 'c_HOL_Oplus__class_Oplus' [58, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.41/1.75 'class_Orderings_Opreorder' [59, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.41/1.75 'class_Orderings_Oorder' [60, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.41/1.75 'c_Power_Opower_Opower' [68, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Omult__mono1' [69, 1] (w:1, o:86, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_Ring__and__Field_Omult__mono' [70, 1] (w:1, o:87, a:1, s:1, b:
% 1.41/1.75 0),
% 1.41/1.75 'class_Ring__and__Field_Opordered__ring' [71, 1] (w:1, o:93, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_Ring__and__Field_Oordered__ring__strict' [72, 1] (w:1, o:78
% 1.41/1.75 , a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Ocomm__semiring__1' [73, 1] (w:1, o:94, a:1
% 1.41/1.75 , s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Opordered__cancel__semiring' [75, 1] (w:1, o:
% 1.41/1.75 95, a:1, s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Oab__semigroup__mult' [76, 1] (w:1, o:96, a:1, s:
% 1.41/1.75 1, b:0),
% 1.41/1.75 'c_Transitive__Closure_Ortrancl' [82, 2] (w:1, o:156, a:1, s:1, b:0)
% 1.41/1.75 ,
% 1.41/1.75 'class_Orderings_Olinorder' [83, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Oordered__field' [84, 1] (w:1, o:88, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_Ring__and__Field_Odivision__by__zero' [85, 1] (w:1, o:99, a:1
% 1.41/1.75 , s:1, b:0),
% 1.41/1.75 'c_HOL_Oinverse__class_Odivide' [86, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.41/1.75
% 1.41/1.75 'class_Ring__and__Field_Oordered__semidom' [87, 1] (w:1, o:89, a:1
% 1.41/1.75 , s:1, b:0),
% 1.41/1.75 'c_HOL_Oone__class_Oone' [89, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Oring__1' [90, 1] (w:1, o:100, a:1, s:1, b:0)
% 1.41/1.75 ,
% 1.41/1.75 'c_Int_Oring__1__class_OInts' [91, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.41/1.75 'c_in' [92, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Oordered__comm__semiring__strict' [93, 1] (w:
% 1.41/1.75 1, o:90, a:1, s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Opordered__comm__monoid__add' [94, 1] (w:1, o:102
% 1.41/1.75 , a:1, s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Ocomm__monoid__add' [95, 1] (w:1, o:103, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_OrderedGroup_Olordered__ab__group__add' [96, 1] (w:1, o:104
% 1.41/1.75 , a:1, s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [97, 1]
% 1.41/1.75 (w:1, o:105, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Oidom' [98, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.41/1.75 'class_Int_Onumber__ring' [99, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [100, 1]
% 1.41/1.75 (w:1, o:108, a:1, s:1, b:0),
% 1.41/1.75 'c_Pair' [101, 4] (w:1, o:177, a:1, s:1, b:0),
% 1.41/1.75 'tc_prod' [103, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Ofield' [104, 1] (w:1, o:109, a:1, s:1, b:0)
% 1.41/1.75 ,
% 1.41/1.75 'class_Ring__and__Field_Omult__zero' [107, 1] (w:1, o:110, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_Ring__and__Field_Oring__no__zero__divisors' [108, 1] (w:1, o:
% 1.41/1.75 111, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Ono__zero__divisors' [109, 1] (w:1, o:77, a:1
% 1.41/1.75 , s:1, b:0),
% 1.41/1.75 'class_OrderedGroup_Omonoid__mult' [111, 1] (w:1, o:112, a:1, s:1, b:
% 1.41/1.75 0),
% 1.41/1.75 'class_Ring__and__Field_Oordered__semiring' [112, 1] (w:1, o:91, a:1
% 1.41/1.75 , s:1, b:0),
% 1.41/1.75 'class_Power_Opower' [113, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Oordered__idom' [114, 1] (w:1, o:92, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_Ring__and__Field_Opordered__semiring' [115, 1] (w:1, o:121, a:
% 1.41/1.75 1, s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Ozero__neq__one' [116, 1] (w:1, o:122, a:1
% 1.41/1.75 , s:1, b:0),
% 1.41/1.75 'class_Ring__and__Field_Osemiring__0' [117, 1] (w:1, o:124, a:1, s:1
% 1.41/1.75 , b:0),
% 1.41/1.75 'class_Int_Oring__char__0' [119, 1] (w:1, o:125, a:1, s:1, b:0),
% 12.72/13.14 'class_Ring__and__Field_Ocomm__semiring' [120, 1] (w:1, o:98, a:1, s:
% 12.72/13.14 1, b:0),
% 12.72/13.14 'class_OrderedGroup_Opordered__ab__group__add' [121, 1] (w:1, o:113
% 12.72/13.14 , a:1, s:1, b:0),
% 12.72/13.14 'class_OrderedGroup_Opordered__ab__semigroup__add' [122, 1] (w:1, o:
% 12.72/13.14 114, a:1, s:1, b:0),
% 12.72/13.14 'class_Ring__and__Field_Osemiring' [123, 1] (w:1, o:126, a:1, s:1, b:
% 12.72/13.14 0),
% 12.72/13.14 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [129, 5] (w:1, o:
% 12.72/13.14 183, a:1, s:1, b:0),
% 12.72/13.14 'c_Product__Type_OSigma' [130, 4] (w:1, o:178, a:1, s:1, b:0),
% 12.72/13.14 'c_Wellfounded_Omlex__prod' [132, 3] (w:1, o:168, a:1, s:1, b:0),
% 12.72/13.14 'c_Relation_ODomain' [133, 3] (w:1, o:169, a:1, s:1, b:0),
% 12.72/13.14 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [134, 4] (w:1, o:
% 12.72/13.14 179, a:1, s:1, b:0),
% 12.72/13.14 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [135, 4] (w:1, o:180
% 12.72/13.14 , a:1, s:1, b:0),
% 12.72/13.14 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [136, 4] (w:1, o:
% 12.72/13.14 181, a:1, s:1, b:0),
% 12.72/13.14 'c_Relation_ORange' [137, 3] (w:1, o:170, a:1, s:1, b:0),
% 12.72/13.14 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [138, 4] (w:1, o:182
% 12.72/13.14 , a:1, s:1, b:0),
% 12.72/13.14 'c_List_Oall__from__to__nat' [140, 3] (w:1, o:171, a:1, s:1, b:0),
% 12.72/13.14 hBOOL [141, 1] (w:1, o:127, a:1, s:1, b:0),
% 12.72/13.14 'class_OrderedGroup_Omonoid__add' [142, 1] (w:1, o:115, a:1, s:1, b:0
% 12.72/13.14 ),
% 12.72/13.14 'class_Ring__and__Field_Oring__1__no__zero__divisors' [143, 1] (w:1
% 12.72/13.14 , o:123, a:1, s:1, b:0),
% 12.72/13.14 'c_Relation_Ototal__on' [145, 3] (w:1, o:172, a:1, s:1, b:0),
% 12.72/13.14 'c_Relation_Orefl__on' [146, 3] (w:1, o:173, a:1, s:1, b:0),
% 12.72/13.14 'c_Wellfounded_Omeasure' [147, 2] (w:1, o:158, a:1, s:1, b:0),
% 12.72/13.14 'tc_Arrow__Order__Mirabelle_Oalt' [148, 0] (w:1, o:47, a:1, s:1, b:0)
% 12.72/13.14 ,
% 12.72/13.14 'c_Arrow__Order__Mirabelle_Omktop' [150, 2] (w:1, o:159, a:1, s:1, b:
% 12.72/13.14 0),
% 12.72/13.14 'c_Arrow__Order__Mirabelle_Omkbot' [153, 2] (w:1, o:160, a:1, s:1, b:
% 12.72/13.14 0),
% 12.72/13.14 'class_OrderedGroup_Oab__group__add' [154, 1] (w:1, o:116, a:1, s:1
% 12.72/13.14 , b:0),
% 12.72/13.14 'class_OrderedGroup_Oab__semigroup__add' [155, 1] (w:1, o:117, a:1
% 12.72/13.14 , s:1, b:0),
% 12.72/13.14 'class_OrderedGroup_Ocancel__ab__semigroup__add' [158, 1] (w:1, o:118
% 12.72/13.14 , a:1, s:1, b:0),
% 12.72/13.14 'class_OrderedGroup_Ocancel__semigroup__add' [159, 1] (w:1, o:119, a:
% 12.72/13.14 1, s:1, b:0),
% 12.72/13.14 'v_P____' [160, 0] (w:1, o:51, a:1, s:1, b:0),
% 12.72/13.14 'c_Arrow__Order__Mirabelle_OProf' [161, 0] (w:1, o:52, a:1, s:1, b:0)
% 12.72/13.14 ,
% 12.72/13.14 'tc_Arrow__Order__Mirabelle_Oindi' [162, 0] (w:1, o:53, a:1, s:1, b:0
% 12.72/13.14 ),
% 12.72/13.14 'tc_bool' [163, 0] (w:1, o:54, a:1, s:1, b:0),
% 12.72/13.14 'tc_fun' [164, 2] (w:1, o:161, a:1, s:1, b:0),
% 12.72/13.14 'v_c____' [165, 0] (w:1, o:56, a:1, s:1, b:0),
% 12.72/13.14 'v_d____' [166, 0] (w:1, o:57, a:1, s:1, b:0),
% 12.72/13.14 'v_e____' [167, 0] (w:1, o:58, a:1, s:1, b:0),
% 12.72/13.14 'c_List_Olist_ONil' [168, 1] (w:1, o:128, a:1, s:1, b:0),
% 12.72/13.14 'c_List_Olist_OCons' [169, 3] (w:1, o:174, a:1, s:1, b:0),
% 12.72/13.14 'c_List_Odistinct' [170, 2] (w:1, o:162, a:1, s:1, b:0),
% 12.72/13.14 'v_a____' [171, 0] (w:1, o:59, a:1, s:1, b:0),
% 12.72/13.14 'v_b____' [172, 0] (w:1, o:55, a:1, s:1, b:0),
% 12.72/13.14 'v_Lab____' [173, 0] (w:1, o:60, a:1, s:1, b:0),
% 12.72/13.14 'v_x' [174, 0] (w:1, o:61, a:1, s:1, b:0),
% 12.72/13.14 'v_h____' [175, 1] (w:1, o:129, a:1, s:1, b:0),
% 12.72/13.14 'v_n____' [176, 0] (w:1, o:62, a:1, s:1, b:0),
% 12.72/13.14 'v_Lba____' [177, 0] (w:1, o:63, a:1, s:1, b:0),
% 12.72/13.14 'c_Arrow__Order__Mirabelle_Oabove' [178, 3] (w:1, o:175, a:1, s:1, b:
% 12.72/13.14 0),
% 12.72/13.14 'c_fequal' [181, 3] (w:1, o:176, a:1, s:1, b:0).
% 12.72/13.14
% 12.72/13.14
% 12.72/13.14 Starting Search:
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14
% 12.72/13.14 Intermediate Status:
% 12.72/13.14 Generated: 3892
% 12.72/13.14 Kept: 2007
% 12.72/13.14 Inuse: 129
% 12.72/13.14 Deleted: 2
% 12.72/13.14 Deletedinuse: 0
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14
% 12.72/13.14 Intermediate Status:
% 12.72/13.14 Generated: 10400
% 12.72/13.14 Kept: 4045
% 12.72/13.14 Inuse: 243
% 12.72/13.14 Deleted: 5
% 12.72/13.14 Deletedinuse: 0
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14
% 12.72/13.14 Intermediate Status:
% 12.72/13.14 Generated: 18957
% 12.72/13.14 Kept: 6335
% 12.72/13.14 Inuse: 319
% 12.72/13.14 Deleted: 7
% 12.72/13.14 Deletedinuse: 0
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14 Resimplifying inuse:
% 12.72/13.14 Done
% 12.72/13.14
% 12.72/13.14
% 12.72/13.14 Intermediate Status:
% 12.72/13.14 Generated: 25399
% 12.72/13.14 Kept: 8372
% 48.26/48.65 Inuse: 409
% 48.26/48.65 Deleted: 8
% 48.26/48.65 Deletedinuse: 1
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 32955
% 48.26/48.65 Kept: 10968
% 48.26/48.65 Inuse: 460
% 48.26/48.65 Deleted: 9
% 48.26/48.65 Deletedinuse: 2
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 43052
% 48.26/48.65 Kept: 12976
% 48.26/48.65 Inuse: 497
% 48.26/48.65 Deleted: 10
% 48.26/48.65 Deletedinuse: 2
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 56057
% 48.26/48.65 Kept: 15058
% 48.26/48.65 Inuse: 513
% 48.26/48.65 Deleted: 10
% 48.26/48.65 Deletedinuse: 2
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 65773
% 48.26/48.65 Kept: 17139
% 48.26/48.65 Inuse: 555
% 48.26/48.65 Deleted: 10
% 48.26/48.65 Deletedinuse: 2
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 83575
% 48.26/48.65 Kept: 19904
% 48.26/48.65 Inuse: 587
% 48.26/48.65 Deleted: 12
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying clauses:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 92962
% 48.26/48.65 Kept: 21953
% 48.26/48.65 Inuse: 622
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 107701
% 48.26/48.65 Kept: 24254
% 48.26/48.65 Inuse: 638
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 119666
% 48.26/48.65 Kept: 26356
% 48.26/48.65 Inuse: 652
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 130633
% 48.26/48.65 Kept: 28363
% 48.26/48.65 Inuse: 695
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 142944
% 48.26/48.65 Kept: 30394
% 48.26/48.65 Inuse: 732
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 166556
% 48.26/48.65 Kept: 32703
% 48.26/48.65 Inuse: 772
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 179034
% 48.26/48.65 Kept: 34924
% 48.26/48.65 Inuse: 782
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 195148
% 48.26/48.65 Kept: 37029
% 48.26/48.65 Inuse: 822
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 214667
% 48.26/48.65 Kept: 39386
% 48.26/48.65 Inuse: 837
% 48.26/48.65 Deleted: 660
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying clauses:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 236315
% 48.26/48.65 Kept: 41857
% 48.26/48.65 Inuse: 861
% 48.26/48.65 Deleted: 1366
% 48.26/48.65 Deletedinuse: 3
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 250089
% 48.26/48.65 Kept: 44169
% 48.26/48.65 Inuse: 882
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 261938
% 48.26/48.65 Kept: 46183
% 48.26/48.65 Inuse: 911
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 274349
% 48.26/48.65 Kept: 48334
% 48.26/48.65 Inuse: 942
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 289716
% 48.26/48.65 Kept: 50811
% 48.26/48.65 Inuse: 952
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 320055
% 48.26/48.65 Kept: 53039
% 48.26/48.65 Inuse: 967
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 350554
% 48.26/48.65 Kept: 56206
% 48.26/48.65 Inuse: 972
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 364127
% 48.26/48.65 Kept: 58209
% 48.26/48.65 Inuse: 998
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 382754
% 48.26/48.65 Kept: 60721
% 48.26/48.65 Inuse: 1007
% 48.26/48.65 Deleted: 1369
% 48.26/48.65 Deletedinuse: 6
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying clauses:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65 Resimplifying inuse:
% 48.26/48.65 Done
% 48.26/48.65
% 48.26/48.65
% 48.26/48.65 Intermediate Status:
% 48.26/48.65 Generated: 399809
% 48.26/48.65 Kept: 63000
% 48.26/48.65 Inuse: 1042
% 48.26/48.65 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 416293
% 111.76/112.19 Kept: 65466
% 111.76/112.19 Inuse: 1067
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 435731
% 111.76/112.19 Kept: 68542
% 111.76/112.19 Inuse: 1077
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 446431
% 111.76/112.19 Kept: 70602
% 111.76/112.19 Inuse: 1103
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 459065
% 111.76/112.19 Kept: 72616
% 111.76/112.19 Inuse: 1131
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 471122
% 111.76/112.19 Kept: 74695
% 111.76/112.19 Inuse: 1152
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 479419
% 111.76/112.19 Kept: 76794
% 111.76/112.19 Inuse: 1167
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 490219
% 111.76/112.19 Kept: 79040
% 111.76/112.19 Inuse: 1192
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 499877
% 111.76/112.19 Kept: 81263
% 111.76/112.19 Inuse: 1217
% 111.76/112.19 Deleted: 1925
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying clauses:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 508271
% 111.76/112.19 Kept: 83472
% 111.76/112.19 Inuse: 1242
% 111.76/112.19 Deleted: 2506
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 525780
% 111.76/112.19 Kept: 87069
% 111.76/112.19 Inuse: 1272
% 111.76/112.19 Deleted: 2506
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 563475
% 111.76/112.19 Kept: 90366
% 111.76/112.19 Inuse: 1282
% 111.76/112.19 Deleted: 2506
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 583292
% 111.76/112.19 Kept: 94304
% 111.76/112.19 Inuse: 1302
% 111.76/112.19 Deleted: 2506
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 598444
% 111.76/112.19 Kept: 96947
% 111.76/112.19 Inuse: 1307
% 111.76/112.19 Deleted: 2506
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 605168
% 111.76/112.19 Kept: 98965
% 111.76/112.19 Inuse: 1332
% 111.76/112.19 Deleted: 2506
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 617297
% 111.76/112.19 Kept: 101438
% 111.76/112.19 Inuse: 1356
% 111.76/112.19 Deleted: 2507
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying clauses:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 633544
% 111.76/112.19 Kept: 103752
% 111.76/112.19 Inuse: 1381
% 111.76/112.19 Deleted: 3008
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 645710
% 111.76/112.19 Kept: 105883
% 111.76/112.19 Inuse: 1401
% 111.76/112.19 Deleted: 3008
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 698900
% 111.76/112.19 Kept: 110508
% 111.76/112.19 Inuse: 1411
% 111.76/112.19 Deleted: 3008
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 716539
% 111.76/112.19 Kept: 112595
% 111.76/112.19 Inuse: 1436
% 111.76/112.19 Deleted: 3008
% 111.76/112.19 Deletedinuse: 7
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 747263
% 111.76/112.19 Kept: 116983
% 111.76/112.19 Inuse: 1461
% 111.76/112.19 Deleted: 3009
% 111.76/112.19 Deletedinuse: 8
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 769272
% 111.76/112.19 Kept: 120593
% 111.76/112.19 Inuse: 1471
% 111.76/112.19 Deleted: 3009
% 111.76/112.19 Deletedinuse: 8
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 780902
% 111.76/112.19 Kept: 122658
% 111.76/112.19 Inuse: 1476
% 111.76/112.19 Deleted: 3009
% 111.76/112.19 Deletedinuse: 8
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying clauses:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 797855
% 111.76/112.19 Kept: 124794
% 111.76/112.19 Inuse: 1501
% 111.76/112.19 Deleted: 3226
% 111.76/112.19 Deletedinuse: 8
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 111.76/112.19 Done
% 111.76/112.19
% 111.76/112.19
% 111.76/112.19 Intermediate Status:
% 111.76/112.19 Generated: 821752
% 111.76/112.19 Kept: 128422
% 111.76/112.19 Inuse: 1511
% 111.76/112.19 Deleted: 3226
% 111.76/112.19 Deletedinuse: 8
% 111.76/112.19
% 111.76/112.19 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 833741
% 261.25/261.82 Kept: 130527
% 261.25/261.82 Inuse: 1516
% 261.25/261.82 Deleted: 3226
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 856779
% 261.25/261.82 Kept: 132840
% 261.25/261.82 Inuse: 1536
% 261.25/261.82 Deleted: 3226
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 864344
% 261.25/261.82 Kept: 135116
% 261.25/261.82 Inuse: 1561
% 261.25/261.82 Deleted: 3226
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 873282
% 261.25/261.82 Kept: 137450
% 261.25/261.82 Inuse: 1591
% 261.25/261.82 Deleted: 3226
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 882671
% 261.25/261.82 Kept: 139458
% 261.25/261.82 Inuse: 1611
% 261.25/261.82 Deleted: 3226
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 900214
% 261.25/261.82 Kept: 142573
% 261.25/261.82 Inuse: 1616
% 261.25/261.82 Deleted: 3226
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying clauses:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 913251
% 261.25/261.82 Kept: 144883
% 261.25/261.82 Inuse: 1646
% 261.25/261.82 Deleted: 3716
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 938395
% 261.25/261.82 Kept: 147450
% 261.25/261.82 Inuse: 1666
% 261.25/261.82 Deleted: 3716
% 261.25/261.82 Deletedinuse: 8
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 953143
% 261.25/261.82 Kept: 149787
% 261.25/261.82 Inuse: 1691
% 261.25/261.82 Deleted: 3718
% 261.25/261.82 Deletedinuse: 10
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 966291
% 261.25/261.82 Kept: 151856
% 261.25/261.82 Inuse: 1713
% 261.25/261.82 Deleted: 3718
% 261.25/261.82 Deletedinuse: 10
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 980930
% 261.25/261.82 Kept: 153958
% 261.25/261.82 Inuse: 1736
% 261.25/261.82 Deleted: 3718
% 261.25/261.82 Deletedinuse: 10
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 994204
% 261.25/261.82 Kept: 156223
% 261.25/261.82 Inuse: 1761
% 261.25/261.82 Deleted: 3718
% 261.25/261.82 Deletedinuse: 10
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1013478
% 261.25/261.82 Kept: 158285
% 261.25/261.82 Inuse: 1801
% 261.25/261.82 Deleted: 3719
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1026222
% 261.25/261.82 Kept: 160328
% 261.25/261.82 Inuse: 1806
% 261.25/261.82 Deleted: 3719
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1039090
% 261.25/261.82 Kept: 162392
% 261.25/261.82 Inuse: 1811
% 261.25/261.82 Deleted: 3719
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying clauses:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1056764
% 261.25/261.82 Kept: 164600
% 261.25/261.82 Inuse: 1829
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1076229
% 261.25/261.82 Kept: 166932
% 261.25/261.82 Inuse: 1851
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1094764
% 261.25/261.82 Kept: 169358
% 261.25/261.82 Inuse: 1871
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1113067
% 261.25/261.82 Kept: 171907
% 261.25/261.82 Inuse: 1886
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1152359
% 261.25/261.82 Kept: 175761
% 261.25/261.82 Inuse: 1906
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1166143
% 261.25/261.82 Kept: 177951
% 261.25/261.82 Inuse: 1911
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1181990
% 261.25/261.82 Kept: 180244
% 261.25/261.82 Inuse: 1916
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1199850
% 261.25/261.82 Kept: 182275
% 261.25/261.82 Inuse: 1936
% 261.25/261.82 Deleted: 3938
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82 Resimplifying clauses:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1212859
% 261.25/261.82 Kept: 184367
% 261.25/261.82 Inuse: 1948
% 261.25/261.82 Deleted: 4392
% 261.25/261.82 Deletedinuse: 11
% 261.25/261.82
% 261.25/261.82 Resimplifying inuse:
% 261.25/261.82 Done
% 261.25/261.82
% 261.25/261.82
% 261.25/261.82 Intermediate Status:
% 261.25/261.82 Generated: 1253766
% 261.25/261.82 Kept: 189701
% 261.25/261.82 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------