TSTP Solution File: SWV822-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV822-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:40 EDT 2022
% Result : Timeout 300.05s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV822-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 : Wed Jun 15 11:56:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.32 *** allocated 10000 integers for termspace/termends
% 0.91/1.32 *** allocated 10000 integers for clauses
% 0.91/1.32 *** allocated 10000 integers for justifications
% 0.91/1.32 *** allocated 15000 integers for termspace/termends
% 0.91/1.32 Bliksem 1.12
% 0.91/1.32
% 0.91/1.32
% 0.91/1.32 Automatic Strategy Selection
% 0.91/1.32
% 0.91/1.32 Clauses:
% 0.91/1.32 [
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.91/1.32 , X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 X, T, 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 0.91/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.91/1.32 , X ), T, X ), W, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), W, X ), X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.91/1.32 Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.91/1.32 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.91/1.32 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.91/1.32 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.91/1.32 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.91/1.32 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.91/1.32 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.91/1.32 , Z ) ],
% 0.91/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.91/1.32 , T ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.91/1.32 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), W, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.91/1.32 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), X, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), T, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.91/1.32 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.91/1.32 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.91/1.32 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.91/1.32 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.32 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 T, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.91/1.32 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 Z, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.91/1.32 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.91/1.32 ), Y ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.91/1.32 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.91/1.32 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.91/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.32 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.91/1.32 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.32 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), T, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), T,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.91/1.32 T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.91/1.32 T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_Orderings_Oord__class_Omin'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.91/1.32 ) ) ), =( X, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.32 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.32 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.91/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), W, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.91/1.32 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.91/1.32 W, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.91/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.91/1.32 , X ), T, X ), W, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.32 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.91/1.32 W, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ), U, 'tc_nat' ) ) ), ~(
% 0.91/1.32 'c_lessequals'( T, X, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ), Z, 'tc_nat' ), U ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ), U, 'tc_nat' ) ) ), ~(
% 0.91/1.32 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ), U, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.32 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), T,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.91/1.32 Z, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.32 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 X, Z, 'tc_nat' ), T, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' )
% 0.91/1.32 ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.91/1.32 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat'
% 0.91/1.32 ), X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' )
% 0.91/1.32 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.91/1.32 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( Z,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), Y,
% 0.91/1.32 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( 'c_Suc'( Z ), Y, 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.91/1.32 , T ), =( X, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.91/1.32 , T ), =( X, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.32 ), X ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.91/1.32 X ), Z, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.91/1.32 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.91/1.32 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.91/1.32 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.32 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_COMBI'( X, Y ), X ) ],
% 0.91/1.32 [ =( 'c_COMBK'( X, Y, Z, T ), X ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.32 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.91/1.32 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.91/1.32 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.91/1.32 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.91/1.32 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.91/1.32 X ), X ), Y ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.91/1.32 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.32 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.91/1.32 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.91/1.32 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.91/1.32 , X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.91/1.32 , X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.91/1.32 Z, Y, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.32 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.91/1.32 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.91/1.32 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.91/1.32 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.91/1.32 , Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.91/1.32 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.91/1.32 , 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.91/1.32 ) ],
% 0.91/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.91/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ), 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat'
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.32 ), =( Z, Y ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.32 ) ],
% 0.91/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.32 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.91/1.32 Z, T, Y ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.91/1.32 X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.91/1.32 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.32 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.91/1.32 ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( T,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, U, 'tc_nat' ), 'tc_nat' ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.32 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ) ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ) ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.91/1.32 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~(
% 0.91/1.32 'c_Com_OWT'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, 'c_Divides_Odiv__class_Omod'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), T, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z
% 0.91/1.32 , 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' )
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.32 , Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.32 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.32 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.32 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.91/1.32 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.32 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.91/1.32 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.91/1.32 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.91/1.32 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.91/1.32 X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.91/1.32 X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.32 X ) ) ), =( Y, T ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.91/1.32 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.91/1.32 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.91/1.32 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.91/1.32 Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.91/1.32 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.91/1.32 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.91/1.32 X ), X ), X ) ],
% 0.91/1.32 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.91/1.32 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.32 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.91/1.32 X ), X ), Y ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.91/1.32 'tc_nat' ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.91/1.32 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Divides_Odiv__class_Omod'( Y, Z
% 0.91/1.32 , 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.32 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.33 X ), T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.33 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.91/1.33 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.91/1.33 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.91/1.33 ],
% 0.91/1.33 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.91/1.33 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.91/1.33 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.91/1.33 [ =( 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), Y,
% 0.91/1.33 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.33 , X, 'tc_nat' ), X ) ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.33 ), 'tc_nat' ), X ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.33 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.33 ), X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.33 ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.91/1.33 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.33 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.33 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.91/1.33 ), Y ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.91/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.33 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.33 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.33 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.91/1.33 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.91/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.33 X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 Z, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 Z, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.33 X ), X ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.91/1.33 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.91/1.33 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 0.91/1.33 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.33 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.33 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.91/1.33 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.33 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.91/1.33 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.91/1.33 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.91/1.33 , 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.91/1.33 , 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 0.91/1.33 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.33 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.91/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.91/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.33 [ =( 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.33 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.91/1.33 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.33 , Y, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.33 , T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.33 , T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.33 , Y, X ), X ) ) ],
% 0.91/1.33 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.33 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.33 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.33 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.91/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.91/1.33 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.91/1.33 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.91/1.33 ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.91/1.33 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.91/1.33 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.91/1.33 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.91/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.91/1.33 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.91/1.33 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.91/1.33 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.91/1.33 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.91/1.33 , X ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.33 T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.33 X ), Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.33 T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.33 X ), T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.33 T, X ), X ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.33 X ), T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.33 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.91/1.33 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.33 [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 0.91/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.91/1.33 ],
% 0.91/1.33 [ =( 'c_COMBK'( 'v_P', 'v_Q', 't_a', 't_b' ), 'v_P' ) ],
% 0.91/1.33 [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( 'c_Com_Obody'( X ),
% 0.91/1.33 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( X, Y, Z, T ), ~( 'c_lessequals'( U, Z, 'tc_nat' )
% 0.91/1.33 ), ~( 'c_Natural_Oevaln'( X, Y, U, T ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.91/1.33 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.91/1.33 , Y, Z ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom'
% 0.91/1.33 ), Y, Z ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.91/1.33 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.91/1.33 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.91/1.33 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.91/1.33 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.33 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.91/1.33 , Y, Z, T ) ) ],
% 0.91/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.91/1.33 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.91/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.91/1.33 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.33 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.91/1.33 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.91/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom'
% 0.91/1.33 ), Y, 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T )
% 0.91/1.33 , T ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( X ), Y, Z, T ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( X, Y,
% 0.91/1.33 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( Z, X, T, Y, U, W ), W ),
% 0.91/1.33 ~( 'c_Natural_Oevaln'( X, Y, V0, W ) ), ~( 'c_Natural_Oevaln'( Z, T, V1,
% 0.91/1.33 U ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( X, Y,
% 0.91/1.33 'c_Natural_Osko__Natural__Xevaln__max2__1__1'( X, Z, Y, T, U, W ), U ),
% 0.91/1.33 ~( 'c_Natural_Oevaln'( Z, T, V0, W ) ), ~( 'c_Natural_Oevaln'( X, Y, V1,
% 0.91/1.33 U ) ) ],
% 0.91/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.91/1.33 [ =( 'c_Com_Obody'( X ), 'c_Option_Ooption_OSome'(
% 0.91/1.33 'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~(
% 0.91/1.33 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.91/1.33 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.91/1.33 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.91/1.33 ],
% 0.91/1.33 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.91/1.33 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.91/1.33 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.91/1.33 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.91/1.33 ],
% 0.91/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.33 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.91/1.33 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.91/1.33 , X, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.91/1.33 'tc_nat' ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( X ), Y, 'c_Suc'( Z ), T ), ~(
% 0.91/1.33 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.91/1.33 , Y, Z, T ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.91/1.33 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.33 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.91/1.33 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.91/1.33 ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.33 [ =( 'c_COMBI'( 'v_P', 't_a' ), 'v_P' ) ],
% 0.91/1.33 [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.91/1.33 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ) ) )
% 0.91/1.33 ],
% 0.91/1.33 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.91/1.33 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( Y ), Z, X, T
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.33 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.91/1.33 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.33 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.91/1.33 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ), hBOOL( hAPP( hAPP(
% 0.91/1.33 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_xa', 'c_Suc'(
% 0.91/1.33 'v_n' ), 'v_xb' ), hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 0.91/1.33 [ ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ), hBOOL( hAPP( hAPP(
% 0.91/1.33 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ), 'c_Natural_Oevaln'(
% 0.91/1.33 'c_Option_Othe'( 'c_Com_Obody'( 'v_pn' ), 'tc_Com_Ocom' ), 'v_xa', 'v_n'
% 0.91/1.33 , 'v_xb' ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_xa', 'c_Suc'(
% 0.91/1.33 'v_n' ), 'v_xb' ), 'c_Natural_Oevaln'( 'c_Option_Othe'( 'c_Com_Obody'(
% 0.91/1.33 'v_pn' ), 'tc_Com_Ocom' ), 'v_xa', 'v_n', 'v_xb' ) ],
% 0.91/1.33 [ ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ), 'c_Natural_Oevaln'(
% 0.91/1.33 'c_Option_Othe'( 'c_Com_Obody'( 'v_pn' ), 'tc_Com_Ocom' ), 'v_xa', 'v_n'
% 0.91/1.33 , 'v_xb' ) ],
% 0.91/1.33 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.33 'v_Q', 'v_x' ), 'v_xb' ) ) ) ],
% 0.91/1.33 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( 'v_pn' ), 'v_xa', 'c_Suc'(
% 0.91/1.33 'v_n' ), 'v_xb' ), ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( hBOOL( hAPP( hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ), ~( hBOOL( hAPP(
% 0.91/1.33 hAPP( 'v_Q', 'v_x' ), 'v_xb' ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), ~( 'c_Natural_Oevaln'(
% 0.91/1.33 'c_Option_Othe'( 'c_Com_Obody'( 'v_pn' ), 'tc_Com_Ocom' ), Z, 'v_n', Y )
% 0.91/1.33 ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z ) ) ), hBOOL( hAPP( hAPP( 'v_Q',
% 0.91/1.33 T ), U ) ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OBODY'( 'v_pn' ), W,
% 0.91/1.33 'c_Suc'( 'v_n' ), U ) ), ~( hBOOL( hAPP( hAPP( 'v_P', T ), W ) ) ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.91/1.33 ],
% 0.91/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.91/1.33 ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.91/1.33 ],
% 0.91/1.33 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.91/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.51 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 0.95/1.51 ] .
% 0.95/1.51
% 0.95/1.51
% 0.95/1.51 percentage equality = 0.239793, percentage horn = 0.892283
% 0.95/1.51 This is a problem with some equality
% 0.95/1.51
% 0.95/1.51
% 0.95/1.51
% 0.95/1.51 Options Used:
% 0.95/1.51
% 0.95/1.51 useres = 1
% 0.95/1.51 useparamod = 1
% 0.95/1.51 useeqrefl = 1
% 0.95/1.51 useeqfact = 1
% 0.95/1.51 usefactor = 1
% 0.95/1.51 usesimpsplitting = 0
% 0.95/1.51 usesimpdemod = 5
% 0.95/1.51 usesimpres = 3
% 0.95/1.51
% 0.95/1.51 resimpinuse = 1000
% 0.95/1.51 resimpclauses = 20000
% 0.95/1.51 substype = eqrewr
% 0.95/1.51 backwardsubs = 1
% 0.95/1.51 selectoldest = 5
% 0.95/1.51
% 0.95/1.51 litorderings [0] = split
% 0.95/1.51 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.51
% 0.95/1.51 termordering = kbo
% 0.95/1.51
% 0.95/1.51 litapriori = 0
% 0.95/1.51 termapriori = 1
% 0.95/1.51 litaposteriori = 0
% 0.95/1.51 termaposteriori = 0
% 0.95/1.51 demodaposteriori = 0
% 0.95/1.51 ordereqreflfact = 0
% 0.95/1.51
% 0.95/1.51 litselect = negord
% 0.95/1.51
% 0.95/1.51 maxweight = 15
% 0.95/1.51 maxdepth = 30000
% 0.95/1.51 maxlength = 115
% 0.95/1.51 maxnrvars = 195
% 0.95/1.51 excuselevel = 1
% 0.95/1.51 increasemaxweight = 1
% 0.95/1.51
% 0.95/1.51 maxselected = 10000000
% 0.95/1.51 maxnrclauses = 10000000
% 0.95/1.51
% 0.95/1.51 showgenerated = 0
% 0.95/1.51 showkept = 0
% 0.95/1.51 showselected = 0
% 0.95/1.51 showdeleted = 0
% 0.95/1.51 showresimp = 1
% 0.95/1.51 showstatus = 2000
% 0.95/1.51
% 0.95/1.51 prologoutput = 1
% 0.95/1.51 nrgoals = 5000000
% 0.95/1.51 totalproof = 1
% 0.95/1.51
% 0.95/1.51 Symbols occurring in the translation:
% 0.95/1.51
% 0.95/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.51 . [1, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.95/1.51 ! [4, 1] (w:0, o:79, a:1, s:1, b:0),
% 0.95/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Opordered__ring' [40, 1] (w:1, o:94, a:1, s:1
% 0.95/1.51 , b:0),
% 0.95/1.51 'c_HOL_Ominus__class_Ominus' [43, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.95/1.51 'c_HOL_Otimes__class_Otimes' [45, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.95/1.51 'c_HOL_Oplus__class_Oplus' [47, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.95/1.51 'c_lessequals' [49, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.95/1.51 'c_Suc' [51, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.95/1.51 'tc_nat' [53, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Oordered__ring__strict' [54, 1] (w:1, o:88
% 0.95/1.51 , a:1, s:1, b:0),
% 0.95/1.51 'c_HOL_Ozero__class_Ozero' [55, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.95/1.51 'class_Divides_Osemiring__div' [58, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.95/1.51 'c_Divides_Odiv__class_Omod' [59, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Ocomm__semiring__1' [60, 1] (w:1, o:99, a:1
% 0.95/1.51 , s:1, b:0),
% 0.95/1.51 'class_OrderedGroup_Ocomm__monoid__add' [61, 1] (w:1, o:100, a:1, s:1
% 0.95/1.51 , b:0),
% 0.95/1.51 'c_HOL_Oord__class_Oless' [64, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Oidom' [65, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.95/1.51 'class_Int_Onumber__ring' [66, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Oordered__semiring__strict' [67, 1] (w:1, o:
% 0.95/1.51 89, a:1, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Oordered__semiring' [68, 1] (w:1, o:90, a:1
% 0.95/1.51 , s:1, b:0),
% 0.95/1.51 'class_OrderedGroup_Oab__group__add' [69, 1] (w:1, o:103, a:1, s:1
% 0.95/1.51 , b:0),
% 0.95/1.51 'class_OrderedGroup_Ogroup__add' [70, 1] (w:1, o:104, a:1, s:1, b:0)
% 0.95/1.51 ,
% 0.95/1.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [74, 1]
% 0.95/1.51 (w:1, o:105, a:1, s:1, b:0),
% 0.95/1.51 'class_Orderings_Olinorder' [75, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.95/1.51 'c_Orderings_Oord__class_Omax' [76, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.95/1.51 'c_Orderings_Oord__class_Omin' [77, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.95/1.51 'c_Com_Ocom_OSemi' [80, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.95/1.51 'class_Ring__and__Field_Oring' [83, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.95/1.51 'class_OrderedGroup_Opordered__ab__group__add' [85, 1] (w:1, o:108
% 0.95/1.51 , a:1, s:1, b:0),
% 0.95/1.51 'class_OrderedGroup_Olordered__ab__group__add' [86, 1] (w:1, o:109
% 0.95/1.51 , a:1, s:1, b:0),
% 0.95/1.51 'class_OrderedGroup_Opordered__ab__semigroup__add' [87, 1] (w:1, o:
% 0.95/1.51 110, a:1, s:1, b:0),
% 0.95/1.51 'class_OrderedGroup_Opordered__comm__monoid__add' [88, 1] (w:1, o:111
% 11.41/11.79 , a:1, s:1, b:0),
% 11.41/11.79 'class_Orderings_Opreorder' [89, 1] (w:1, o:113, a:1, s:1, b:0),
% 11.41/11.79 'class_Orderings_Oorder' [90, 1] (w:1, o:112, a:1, s:1, b:0),
% 11.41/11.79 'class_OrderedGroup_Oab__semigroup__add' [91, 1] (w:1, o:114, a:1, s:
% 11.41/11.79 1, b:0),
% 11.41/11.79 'c_Option_Ooption_OSome' [93, 2] (w:1, o:158, a:1, s:1, b:0),
% 11.41/11.79 'c_Option_Ooption_ONone' [94, 1] (w:1, o:115, a:1, s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Oring__no__zero__divisors' [96, 1] (w:1, o:
% 11.41/11.79 116, a:1, s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Ono__zero__divisors' [97, 1] (w:1, o:87, a:1
% 11.41/11.79 , s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Oordered__idom' [99, 1] (w:1, o:91, a:1, s:1
% 11.41/11.79 , b:0),
% 11.41/11.79 'class_Ring__and__Field_Omult__zero' [105, 1] (w:1, o:84, a:1, s:1
% 11.41/11.79 , b:0),
% 11.41/11.79 'class_Divides_Oring__div' [106, 1] (w:1, o:97, a:1, s:1, b:0),
% 11.41/11.79 'c_COMBI' [108, 2] (w:1, o:159, a:1, s:1, b:0),
% 11.41/11.79 'c_COMBK' [111, 4] (w:1, o:172, a:1, s:1, b:0),
% 11.41/11.79 'c_Com_Ocom_OSKIP' [114, 0] (w:1, o:57, a:1, s:1, b:0),
% 11.41/11.79 'c_Com_OWT' [115, 1] (w:1, o:117, a:1, s:1, b:0),
% 11.41/11.79 'c_Natural_Oevalc' [120, 3] (w:1, o:169, a:1, s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Osemiring' [122, 1] (w:1, o:118, a:1, s:1, b:
% 11.41/11.79 0),
% 11.41/11.79 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [125, 1]
% 11.41/11.79 (w:1, o:119, a:1, s:1, b:0),
% 11.41/11.79 'class_OrderedGroup_Oab__semigroup__idem__mult' [127, 1] (w:1, o:120
% 11.41/11.79 , a:1, s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Oordered__semidom' [129, 1] (w:1, o:92, a:1
% 11.41/11.79 , s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Omult__mono' [132, 1] (w:1, o:85, a:1, s:1
% 11.41/11.79 , b:0),
% 11.41/11.79 'class_Ring__and__Field_Omult__mono1' [133, 1] (w:1, o:86, a:1, s:1
% 11.41/11.79 , b:0),
% 11.41/11.79 'class_Ring__and__Field_Opordered__cancel__semiring' [134, 1] (w:1
% 11.41/11.79 , o:121, a:1, s:1, b:0),
% 11.41/11.79 'class_OrderedGroup_Ocancel__ab__semigroup__add' [135, 1] (w:1, o:122
% 11.41/11.79 , a:1, s:1, b:0),
% 11.41/11.79 'class_OrderedGroup_Ocancel__semigroup__add' [136, 1] (w:1, o:123, a:
% 11.41/11.79 1, s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Oordered__comm__semiring__strict' [137, 1]
% 11.41/11.79 (w:1, o:93, a:1, s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Opordered__semiring' [138, 1] (w:1, o:124, a:
% 11.41/11.79 1, s:1, b:0),
% 11.41/11.79 'class_OrderedGroup_Omonoid__add' [139, 1] (w:1, o:125, a:1, s:1, b:0
% 11.41/11.79 ),
% 11.41/11.79 'c_Fun_Oid' [140, 2] (w:1, o:160, a:1, s:1, b:0),
% 11.41/11.79 'class_OrderedGroup_Oab__semigroup__mult' [141, 1] (w:1, o:126, a:1
% 11.41/11.79 , s:1, b:0),
% 11.41/11.79 'class_Ring__and__Field_Ocomm__semiring' [142, 1] (w:1, o:127, a:1
% 11.41/11.79 , s:1, b:0),
% 11.41/11.79 'c_Option_Othe' [143, 2] (w:1, o:161, a:1, s:1, b:0),
% 11.41/11.79 'v_P' [144, 0] (w:1, o:63, a:1, s:1, b:0),
% 11.41/11.79 'v_Q' [145, 0] (w:1, o:64, a:1, s:1, b:0),
% 11.41/11.79 't_a' [146, 0] (w:1, o:65, a:1, s:1, b:0),
% 11.41/11.79 't_b' [147, 0] (w:1, o:66, a:1, s:1, b:0),
% 11.41/11.79 'c_Com_Ocom_OBODY' [149, 1] (w:1, o:129, a:1, s:1, b:0),
% 11.41/11.79 'c_Com_Obody' [150, 1] (w:1, o:128, a:1, s:1, b:0),
% 11.41/11.79 'tc_Com_Ocom' [151, 0] (w:1, o:67, a:1, s:1, b:0),
% 11.41/11.79 'c_Natural_Oevaln' [153, 4] (w:1, o:173, a:1, s:1, b:0),
% 11.41/11.79 'v_x' [156, 0] (w:1, o:69, a:1, s:1, b:0),
% 11.41/11.79 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [158, 4] (w:1
% 11.41/11.79 , o:174, a:1, s:1, b:0),
% 11.41/11.79 'c_Natural_Osko__Natural__Xevaln__max2__1__1' [161, 6] (w:1, o:175
% 11.41/11.79 , a:1, s:1, b:0),
% 11.41/11.79 'c_Com_Osko__Com__XWTs__elim__cases__7__1' [164, 1] (w:1, o:130, a:1
% 11.41/11.79 , s:1, b:0),
% 11.41/11.79 hAPP [166, 2] (w:1, o:162, a:1, s:1, b:0),
% 11.41/11.79 'v_xa' [167, 0] (w:1, o:73, a:1, s:1, b:0),
% 11.41/11.79 hBOOL [168, 1] (w:1, o:131, a:1, s:1, b:0),
% 11.41/11.79 'v_pn' [169, 0] (w:1, o:74, a:1, s:1, b:0),
% 11.41/11.79 'v_n' [170, 0] (w:1, o:75, a:1, s:1, b:0),
% 11.41/11.79 'v_xb' [171, 0] (w:1, o:76, a:1, s:1, b:0).
% 11.41/11.79
% 11.41/11.79
% 11.41/11.79 Starting Search:
% 11.41/11.79
% 11.41/11.79 Resimplifying inuse:
% 11.41/11.79 Done
% 11.41/11.79
% 11.41/11.79
% 11.41/11.79 Intermediate Status:
% 11.41/11.79 Generated: 3904
% 11.41/11.79 Kept: 2059
% 11.41/11.79 Inuse: 121
% 11.41/11.79 Deleted: 0
% 11.41/11.79 Deletedinuse: 0
% 11.41/11.79
% 11.41/11.79 Resimplifying inuse:
% 11.41/11.79 Done
% 11.41/11.79
% 11.41/11.79 Resimplifying inuse:
% 11.41/11.79 Done
% 11.41/11.79
% 11.41/11.79
% 11.41/11.79 Intermediate Status:
% 11.41/11.79 Generated: 10762
% 11.41/11.79 Kept: 4310
% 11.41/11.79 Inuse: 216
% 11.41/11.79 Deleted: 1
% 11.41/11.79 Deletedinuse: 1
% 11.41/11.79
% 11.41/11.79 Resimplifying inuse:
% 11.41/11.79 Done
% 11.41/11.79
% 11.41/11.79 Resimplifying inuse:
% 11.41/11.79 Done
% 11.41/11.79
% 11.41/11.79
% 11.41/11.79 Intermediate Status:
% 11.41/11.79 Generated: 15655
% 11.41/11.79 Kept: 6314
% 11.41/11.79 Inuse: 250
% 11.41/11.79 Deleted: 2
% 11.41/11.79 Deletedinuse: 1
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28
% 37.91/38.28 Intermediate Status:
% 37.91/38.28 Generated: 20788
% 37.91/38.28 Kept: 8522
% 37.91/38.28 Inuse: 323
% 37.91/38.28 Deleted: 4
% 37.91/38.28 Deletedinuse: 1
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28
% 37.91/38.28 Intermediate Status:
% 37.91/38.28 Generated: 27492
% 37.91/38.28 Kept: 10534
% 37.91/38.28 Inuse: 396
% 37.91/38.28 Deleted: 12
% 37.91/38.28 Deletedinuse: 1
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28
% 37.91/38.28 Intermediate Status:
% 37.91/38.28 Generated: 34959
% 37.91/38.28 Kept: 12568
% 37.91/38.28 Inuse: 471
% 37.91/38.28 Deleted: 15
% 37.91/38.28 Deletedinuse: 1
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28
% 37.91/38.28 Intermediate Status:
% 37.91/38.28 Generated: 43121
% 37.91/38.28 Kept: 14717
% 37.91/38.28 Inuse: 505
% 37.91/38.28 Deleted: 15
% 37.91/38.28 Deletedinuse: 1
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28
% 37.91/38.28 Intermediate Status:
% 37.91/38.28 Generated: 58628
% 37.91/38.28 Kept: 16756
% 37.91/38.28 Inuse: 526
% 37.91/38.28 Deleted: 17
% 37.91/38.28 Deletedinuse: 2
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28
% 37.91/38.28 Intermediate Status:
% 37.91/38.28 Generated: 67071
% 37.91/38.28 Kept: 19175
% 37.91/38.28 Inuse: 555
% 37.91/38.28 Deleted: 17
% 37.91/38.28 Deletedinuse: 2
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28 Resimplifying inuse:
% 37.91/38.28 Done
% 37.91/38.28
% 37.91/38.28 Resimplifying clauses:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 76326
% 37.91/38.29 Kept: 21382
% 37.91/38.29 Inuse: 566
% 37.91/38.29 Deleted: 422
% 37.91/38.29 Deletedinuse: 2
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 85293
% 37.91/38.29 Kept: 24194
% 37.91/38.29 Inuse: 581
% 37.91/38.29 Deleted: 422
% 37.91/38.29 Deletedinuse: 2
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 92192
% 37.91/38.29 Kept: 26415
% 37.91/38.29 Inuse: 606
% 37.91/38.29 Deleted: 422
% 37.91/38.29 Deletedinuse: 2
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 105460
% 37.91/38.29 Kept: 28864
% 37.91/38.29 Inuse: 626
% 37.91/38.29 Deleted: 433
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 120230
% 37.91/38.29 Kept: 30883
% 37.91/38.29 Inuse: 638
% 37.91/38.29 Deleted: 433
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 134319
% 37.91/38.29 Kept: 33192
% 37.91/38.29 Inuse: 666
% 37.91/38.29 Deleted: 433
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 147132
% 37.91/38.29 Kept: 35211
% 37.91/38.29 Inuse: 689
% 37.91/38.29 Deleted: 433
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 154500
% 37.91/38.29 Kept: 37216
% 37.91/38.29 Inuse: 722
% 37.91/38.29 Deleted: 434
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 162339
% 37.91/38.29 Kept: 39387
% 37.91/38.29 Inuse: 750
% 37.91/38.29 Deleted: 434
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying clauses:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 170442
% 37.91/38.29 Kept: 41511
% 37.91/38.29 Inuse: 770
% 37.91/38.29 Deleted: 1030
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 191170
% 37.91/38.29 Kept: 43589
% 37.91/38.29 Inuse: 780
% 37.91/38.29 Deleted: 1030
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 213176
% 37.91/38.29 Kept: 45622
% 37.91/38.29 Inuse: 790
% 37.91/38.29 Deleted: 1030
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 224232
% 37.91/38.29 Kept: 47648
% 37.91/38.29 Inuse: 821
% 37.91/38.29 Deleted: 1030
% 37.91/38.29 Deletedinuse: 13
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 235547
% 37.91/38.29 Kept: 49648
% 37.91/38.29 Inuse: 864
% 37.91/38.29 Deleted: 1031
% 37.91/38.29 Deletedinuse: 14
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 246581
% 37.91/38.29 Kept: 51670
% 37.91/38.29 Inuse: 884
% 37.91/38.29 Deleted: 1031
% 37.91/38.29 Deletedinuse: 14
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 256793
% 37.91/38.29 Kept: 53712
% 37.91/38.29 Inuse: 917
% 37.91/38.29 Deleted: 1035
% 37.91/38.29 Deletedinuse: 17
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 264740
% 37.91/38.29 Kept: 55715
% 37.91/38.29 Inuse: 944
% 37.91/38.29 Deleted: 1036
% 37.91/38.29 Deletedinuse: 18
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 37.91/38.29 Intermediate Status:
% 37.91/38.29 Generated: 274235
% 37.91/38.29 Kept: 57780
% 37.91/38.29 Inuse: 973
% 37.91/38.29 Deleted: 1048
% 37.91/38.29 Deletedinuse: 19
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29 Resimplifying inuse:
% 37.91/38.29 Done
% 37.91/38.29
% 37.91/38.29
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 305573
% 97.16/97.53 Kept: 60834
% 97.16/97.53 Inuse: 990
% 97.16/97.53 Deleted: 1052
% 97.16/97.53 Deletedinuse: 20
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying clauses:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 320901
% 97.16/97.53 Kept: 62837
% 97.16/97.53 Inuse: 1005
% 97.16/97.53 Deleted: 2153
% 97.16/97.53 Deletedinuse: 20
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 331417
% 97.16/97.53 Kept: 65043
% 97.16/97.53 Inuse: 1030
% 97.16/97.53 Deleted: 2155
% 97.16/97.53 Deletedinuse: 22
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 343149
% 97.16/97.53 Kept: 67063
% 97.16/97.53 Inuse: 1072
% 97.16/97.53 Deleted: 2156
% 97.16/97.53 Deletedinuse: 23
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 360928
% 97.16/97.53 Kept: 70034
% 97.16/97.53 Inuse: 1110
% 97.16/97.53 Deleted: 2160
% 97.16/97.53 Deletedinuse: 27
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 373582
% 97.16/97.53 Kept: 72052
% 97.16/97.53 Inuse: 1115
% 97.16/97.53 Deleted: 2163
% 97.16/97.53 Deletedinuse: 28
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 386995
% 97.16/97.53 Kept: 74243
% 97.16/97.53 Inuse: 1127
% 97.16/97.53 Deleted: 2164
% 97.16/97.53 Deletedinuse: 28
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 399169
% 97.16/97.53 Kept: 76509
% 97.16/97.53 Inuse: 1172
% 97.16/97.53 Deleted: 2164
% 97.16/97.53 Deletedinuse: 28
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 412183
% 97.16/97.53 Kept: 80032
% 97.16/97.53 Inuse: 1201
% 97.16/97.53 Deleted: 2165
% 97.16/97.53 Deletedinuse: 28
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying clauses:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 440709
% 97.16/97.53 Kept: 82675
% 97.16/97.53 Inuse: 1221
% 97.16/97.53 Deleted: 2862
% 97.16/97.53 Deletedinuse: 28
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 465704
% 97.16/97.53 Kept: 85613
% 97.16/97.53 Inuse: 1231
% 97.16/97.53 Deleted: 2862
% 97.16/97.53 Deletedinuse: 28
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 483347
% 97.16/97.53 Kept: 90081
% 97.16/97.53 Inuse: 1237
% 97.16/97.53 Deleted: 2864
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 505669
% 97.16/97.53 Kept: 92184
% 97.16/97.53 Inuse: 1246
% 97.16/97.53 Deleted: 2864
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 515775
% 97.16/97.53 Kept: 94228
% 97.16/97.53 Inuse: 1263
% 97.16/97.53 Deleted: 2864
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 525609
% 97.16/97.53 Kept: 96238
% 97.16/97.53 Inuse: 1282
% 97.16/97.53 Deleted: 2864
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 533920
% 97.16/97.53 Kept: 98409
% 97.16/97.53 Inuse: 1300
% 97.16/97.53 Deleted: 2870
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 541595
% 97.16/97.53 Kept: 100450
% 97.16/97.53 Inuse: 1319
% 97.16/97.53 Deleted: 2879
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying clauses:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 552676
% 97.16/97.53 Kept: 102515
% 97.16/97.53 Inuse: 1339
% 97.16/97.53 Deleted: 3741
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 568538
% 97.16/97.53 Kept: 104525
% 97.16/97.53 Inuse: 1358
% 97.16/97.53 Deleted: 3741
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 576064
% 97.16/97.53 Kept: 107310
% 97.16/97.53 Inuse: 1361
% 97.16/97.53 Deleted: 3741
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 595028
% 97.16/97.53 Kept: 109496
% 97.16/97.53 Inuse: 1391
% 97.16/97.53 Deleted: 3741
% 97.16/97.53 Deletedinuse: 30
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 606667
% 97.16/97.53 Kept: 111501
% 97.16/97.53 Inuse: 1416
% 97.16/97.53 Deleted: 3742
% 97.16/97.53 Deletedinuse: 31
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 618774
% 97.16/97.53 Kept: 113786
% 97.16/97.53 Inuse: 1441
% 97.16/97.53 Deleted: 3744
% 97.16/97.53 Deletedinuse: 33
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53 Resimplifying inuse:
% 97.16/97.53 Done
% 97.16/97.53
% 97.16/97.53
% 97.16/97.53 Intermediate Status:
% 97.16/97.53 Generated: 628088
% 97.16/97.53 Kept: 115804
% 97.16/97.53 Inuse: 1462
% 97.16/97.53 Deleted: 3745
% 97.16/97.53 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 657229
% 204.14/204.56 Kept: 118071
% 204.14/204.56 Inuse: 1471
% 204.14/204.56 Deleted: 3745
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 685751
% 204.14/204.56 Kept: 120078
% 204.14/204.56 Inuse: 1479
% 204.14/204.56 Deleted: 3745
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying clauses:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 698657
% 204.14/204.56 Kept: 122157
% 204.14/204.56 Inuse: 1491
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 716672
% 204.14/204.56 Kept: 124573
% 204.14/204.56 Inuse: 1506
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 744408
% 204.14/204.56 Kept: 127318
% 204.14/204.56 Inuse: 1516
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 771650
% 204.14/204.56 Kept: 129638
% 204.14/204.56 Inuse: 1526
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 791665
% 204.14/204.56 Kept: 131641
% 204.14/204.56 Inuse: 1544
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 805550
% 204.14/204.56 Kept: 133865
% 204.14/204.56 Inuse: 1556
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 821807
% 204.14/204.56 Kept: 135874
% 204.14/204.56 Inuse: 1575
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 833038
% 204.14/204.56 Kept: 137930
% 204.14/204.56 Inuse: 1596
% 204.14/204.56 Deleted: 4354
% 204.14/204.56 Deletedinuse: 34
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 848663
% 204.14/204.56 Kept: 140235
% 204.14/204.56 Inuse: 1621
% 204.14/204.56 Deleted: 4356
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying clauses:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 858577
% 204.14/204.56 Kept: 142290
% 204.14/204.56 Inuse: 1641
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 871306
% 204.14/204.56 Kept: 144466
% 204.14/204.56 Inuse: 1666
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 888098
% 204.14/204.56 Kept: 146573
% 204.14/204.56 Inuse: 1686
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 902790
% 204.14/204.56 Kept: 148587
% 204.14/204.56 Inuse: 1717
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 919790
% 204.14/204.56 Kept: 150614
% 204.14/204.56 Inuse: 1753
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 929278
% 204.14/204.56 Kept: 154369
% 204.14/204.56 Inuse: 1757
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 945080
% 204.14/204.56 Kept: 156747
% 204.14/204.56 Inuse: 1779
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 956929
% 204.14/204.56 Kept: 158999
% 204.14/204.56 Inuse: 1801
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 971867
% 204.14/204.56 Kept: 161014
% 204.14/204.56 Inuse: 1814
% 204.14/204.56 Deleted: 4524
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying clauses:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 983030
% 204.14/204.56 Kept: 163022
% 204.14/204.56 Inuse: 1835
% 204.14/204.56 Deleted: 4808
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 994862
% 204.14/204.56 Kept: 165159
% 204.14/204.56 Inuse: 1856
% 204.14/204.56 Deleted: 4808
% 204.14/204.56 Deletedinuse: 36
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 1007030
% 204.14/204.56 Kept: 167282
% 204.14/204.56 Inuse: 1876
% 204.14/204.56 Deleted: 4809
% 204.14/204.56 Deletedinuse: 37
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 Intermediate Status:
% 204.14/204.56 Generated: 1020390
% 204.14/204.56 Kept: 169513
% 204.14/204.56 Inuse: 1901
% 204.14/204.56 Deleted: 4809
% 204.14/204.56 Deletedinuse: 37
% 204.14/204.56
% 204.14/204.56 Resimplifying inuse:
% 204.14/204.56 Done
% 204.14/204.56
% 204.14/204.56
% 204.14/204.56 InterCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------