TSTP Solution File: LCL750-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL750-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Sun Jul 17 07:57:30 EDT 2022
% Result : Timeout 300.04s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL750-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 13:18:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.90/1.29 *** allocated 10000 integers for termspace/termends
% 0.90/1.29 *** allocated 10000 integers for clauses
% 0.90/1.29 *** allocated 10000 integers for justifications
% 0.90/1.29 *** allocated 15000 integers for termspace/termends
% 0.90/1.29 Bliksem 1.12
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 Automatic Strategy Selection
% 0.90/1.29
% 0.90/1.29 Clauses:
% 0.90/1.29 [
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.29 'tc_nat' ), X ) ) ],
% 0.90/1.29 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.90/1.29 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.90/1.29 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.90/1.29 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.90/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.29 , X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.90/1.29 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.90/1.29 W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.90/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.90/1.29 , X ), T, X ), W, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.90/1.29 W, X ), X ) ) ],
% 0.90/1.29 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.29 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.29 X ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.29 X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.29 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.90/1.29 Z, X ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.29 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.29 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Z, T, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.90/1.30 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.30 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.90/1.30 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.90/1.30 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.30 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.30 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 0.90/1.30 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 X, T, 'tc_nat' ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.90/1.30 , X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.90/1.30 , X ), T, X ), W, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.90/1.30 Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.90/1.30 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), W, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.90/1.30 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.90/1.30 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.90/1.30 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.90/1.30 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.90/1.30 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.30 ), X ), Y ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.90/1.30 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.30 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.90/1.30 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.90/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.30 , T, X ), X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.90/1.30 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.90/1.30 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.30 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.90/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.90/1.30 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.30 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.90/1.30 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.90/1.30 ), X, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.90/1.30 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.90/1.30 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.30 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.30 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.90/1.30 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.30 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.90/1.30 X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.30 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.90/1.30 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.90/1.30 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.90/1.30 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.90/1.30 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.30 ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.30 ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.30 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.90/1.30 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.90/1.30 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.30 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.90/1.30 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.90/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.30 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.30 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.30 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.30 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.90/1.30 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.90/1.30 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.90/1.30 , X, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.90/1.30 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.90/1.30 , Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.90/1.30 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.90/1.30 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.30 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.90/1.30 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.90/1.30 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.90/1.30 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.30 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.90/1.30 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.30 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.30 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.90/1.30 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.90/1.30 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.90/1.30 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.30 T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.30 T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.30 X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.30 X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ) ) ), =( Y, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.30 , T, X ), X ), T, X ) ) ],
% 0.90/1.30 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.90/1.30 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.90/1.30 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OApp'( Y, Z ), T ),
% 0.90/1.30 'c_Lambda_OdB_OApp'( 'c_Lambda_Oliftn'( X, Y, T ), 'c_Lambda_Oliftn'( X,
% 0.90/1.30 Z, T ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.90/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.90/1.30 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.90/1.30 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.30 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.90/1.30 , X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.90/1.30 , X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.30 , X, 'tc_nat' ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.30 ), 'tc_nat' ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.90/1.30 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ), 'c_Lambda_Osubstn'( Y
% 0.90/1.30 , Z, T ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.90/1.30 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.90/1.30 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.90/1.30 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.90/1.30 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.90/1.30 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_Olift'( X, Y ), 'c_Suc'( Z ) ),
% 0.90/1.30 'c_Lambda_Olift'( 'c_Lambda_Olift'( X, Z ), Y ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_Osubst'( X, Y, Z ), T ),
% 0.90/1.30 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, 'c_HOL_Oplus__class_Oplus'( T,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'c_Lambda_Olift'( Y,
% 0.90/1.30 T ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 T, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.90/1.30 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.90/1.30 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.90/1.30 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Osubst'( X, 'c_Lambda_Olift'( Y, Z ),
% 0.90/1.30 'c_Suc'( T ) ), 'c_Lambda_Osubst'( U, Y, T ), Z ), 'c_Lambda_Osubst'(
% 0.90/1.30 'c_Lambda_Osubst'( X, U, Z ), Y, T ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubst'( X, 'c_Lambda_Olift'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.90/1.30 , 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_Osubst'( X, Y, Z ), T ),
% 0.90/1.30 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, T ), 'c_Lambda_Olift'( Y, T ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.30 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.30 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.30 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.90/1.30 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.90/1.30 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.90/1.30 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.30 ), =( Z, Y ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.30 ) ],
% 0.90/1.30 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.90/1.30 =( Y, T ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.90/1.30 =( X, Z ) ],
% 0.90/1.30 [ =( 'c_List_Olast'( 'c_List_Oupt'( X, Y ), 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.30 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.90/1.30 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.90/1.30 ), Y, X ) ), =( Z, T ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.90/1.30 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.30 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.90/1.30 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.90/1.30 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.30 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.90/1.30 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.90/1.30 'c_Lambda_OdB_OAbs'( 'c_Lambda_Olift'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.90/1.30 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.90/1.30 Z, T ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.90/1.30 ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.90/1.30 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.90/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.90/1.30 'c_InductTermi_OIT'( X ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.90/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.90/1.30 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.90/1.30 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.90/1.30 'tc_nat' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.90/1.30 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.90/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.90/1.30 'c_InductTermi_OIT'( X ) ) ],
% 0.90/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.90/1.30 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.90/1.30 [ 'c_InductTermi_OIT'( 'v_r' ) ],
% 0.90/1.30 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_r', 'c_Lambda_OdB_OVar'(
% 0.90/1.30 'v_i' ), 'v_j' ) ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 0.90/1.30 ] .
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 percentage equality = 0.241523, percentage horn = 0.884555
% 0.90/1.30 This is a problem with some equality
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 Options Used:
% 0.94/1.56
% 0.94/1.56 useres = 1
% 0.94/1.56 useparamod = 1
% 0.94/1.56 useeqrefl = 1
% 0.94/1.56 useeqfact = 1
% 0.94/1.56 usefactor = 1
% 0.94/1.56 usesimpsplitting = 0
% 0.94/1.56 usesimpdemod = 5
% 0.94/1.56 usesimpres = 3
% 0.94/1.56
% 0.94/1.56 resimpinuse = 1000
% 0.94/1.56 resimpclauses = 20000
% 0.94/1.56 substype = eqrewr
% 0.94/1.56 backwardsubs = 1
% 0.94/1.56 selectoldest = 5
% 0.94/1.56
% 0.94/1.56 litorderings [0] = split
% 0.94/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.56
% 0.94/1.56 termordering = kbo
% 0.94/1.56
% 0.94/1.56 litapriori = 0
% 0.94/1.56 termapriori = 1
% 0.94/1.56 litaposteriori = 0
% 0.94/1.56 termaposteriori = 0
% 0.94/1.56 demodaposteriori = 0
% 0.94/1.56 ordereqreflfact = 0
% 0.94/1.56
% 0.94/1.56 litselect = negord
% 0.94/1.56
% 0.94/1.56 maxweight = 15
% 0.94/1.56 maxdepth = 30000
% 0.94/1.56 maxlength = 115
% 0.94/1.56 maxnrvars = 195
% 0.94/1.56 excuselevel = 1
% 0.94/1.56 increasemaxweight = 1
% 0.94/1.56
% 0.94/1.56 maxselected = 10000000
% 0.94/1.56 maxnrclauses = 10000000
% 0.94/1.56
% 0.94/1.56 showgenerated = 0
% 0.94/1.56 showkept = 0
% 0.94/1.56 showselected = 0
% 0.94/1.56 showdeleted = 0
% 0.94/1.56 showresimp = 1
% 0.94/1.56 showstatus = 2000
% 0.94/1.56
% 0.94/1.56 prologoutput = 1
% 0.94/1.56 nrgoals = 5000000
% 0.94/1.56 totalproof = 1
% 0.94/1.56
% 0.94/1.56 Symbols occurring in the translation:
% 0.94/1.56
% 0.94/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.56 . [1, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.94/1.56 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 0.94/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Oidom' [40, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.94/1.56 'class_Int_Onumber__ring' [41, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.94/1.56 'c_HOL_Oplus__class_Oplus' [44, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.94/1.56 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.94/1.56 'tc_nat' [48, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Oordered__semiring__strict' [49, 1] (w:1, o:
% 0.94/1.56 67, a:1, s:1, b:0),
% 0.94/1.56 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.94/1.56 'c_lessequals' [53, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.94/1.56 'c_HOL_Otimes__class_Otimes' [54, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Oordered__semiring' [55, 1] (w:1, o:68, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:70, a:1, s:1, b:
% 0.94/1.56 0),
% 0.94/1.56 'c_HOL_Ominus__class_Ominus' [57, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.94/1.56 'class_OrderedGroup_Ogroup__add' [58, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.94/1.56
% 0.94/1.56 'class_Divides_Osemiring__div' [59, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.94/1.56 'c_Divides_Odiv__class_Omod' [60, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.94/1.56 'class_OrderedGroup_Omonoid__mult' [61, 1] (w:1, o:75, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Ocomm__semiring__1' [63, 1] (w:1, o:76, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 'c_Suc' [66, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.94/1.56 'c_Lambda_Oliftn' [69, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.94/1.56 'c_Lambda_Olift' [70, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Oordered__field' [71, 1] (w:1, o:78, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:80, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:144, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 'c_HOL_Oone__class_Oone' [74, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.94/1.56 'class_OrderedGroup_Opordered__comm__monoid__add' [75, 1] (w:1, o:82
% 0.94/1.56 , a:1, s:1, b:0),
% 0.94/1.56 'class_OrderedGroup_Olordered__ab__group__add' [77, 1] (w:1, o:74, a:
% 0.94/1.56 1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Opordered__ring' [80, 1] (w:1, o:86, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 'class_Ring__and__Field_Oring__no__zero__divisors' [83, 1] (w:1, o:87
% 0.94/1.56 , a:1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Ono__zero__divisors' [84, 1] (w:1, o:65, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Oordered__idom' [87, 1] (w:1, o:83, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 'class_Ring__and__Field_Oordered__ring__strict' [88, 1] (w:1, o:66
% 0.94/1.56 , a:1, s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Oordered__semidom' [89, 1] (w:1, o:84, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 'class_Ring__and__Field_Ozero__neq__one' [92, 1] (w:1, o:88, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 'class_Ring__and__Field_Odivision__ring' [95, 1] (w:1, o:89, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 'class_Ring__and__Field_Omult__zero' [100, 1] (w:1, o:62, a:1, s:1
% 0.94/1.56 , b:0),
% 14.68/15.07 'class_Nat_Osemiring__char__0' [101, 1] (w:1, o:69, a:1, s:1, b:0),
% 14.68/15.07 'c_Nat_Osemiring__1__class_Oof__nat' [102, 2] (w:1, o:145, a:1, s:1
% 14.68/15.07 , b:0),
% 14.68/15.07 'class_OrderedGroup_Ocomm__monoid__add' [104, 1] (w:1, o:90, a:1, s:1
% 14.68/15.07 , b:0),
% 14.68/15.07 'c_Lambda_OdB_OAbs' [105, 1] (w:1, o:91, a:1, s:1, b:0),
% 14.68/15.07 'c_Lambda_Osubstn' [107, 3] (w:1, o:159, a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [109, 1]
% 14.68/15.07 (w:1, o:92, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Oring' [110, 1] (w:1, o:93, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Osemiring__0' [111, 1] (w:1, o:96, a:1, s:1
% 14.68/15.07 , b:0),
% 14.68/15.07 'class_Power_Opower' [112, 1] (w:1, o:110, a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Ocomm__monoid__mult' [113, 1] (w:1, o:97, a:1, s:
% 14.68/15.07 1, b:0),
% 14.68/15.07 'c_Lambda_Osubst' [114, 3] (w:1, o:160, a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Opordered__ab__semigroup__add' [115, 1] (w:1, o:
% 14.68/15.07 98, a:1, s:1, b:0),
% 14.68/15.07 'class_Orderings_Opreorder' [116, 1] (w:1, o:100, a:1, s:1, b:0),
% 14.68/15.07 'c_Lambda_OdB_OVar' [117, 1] (w:1, o:111, a:1, s:1, b:0),
% 14.68/15.07 'class_Orderings_Oorder' [118, 1] (w:1, o:99, a:1, s:1, b:0),
% 14.68/15.07 'class_Divides_Oring__div' [119, 1] (w:1, o:72, a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Opordered__ab__group__add' [120, 1] (w:1, o:101
% 14.68/15.07 , a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [121, 1]
% 14.68/15.07 (w:1, o:102, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Ofield' [122, 1] (w:1, o:112, a:1, s:1, b:0)
% 14.68/15.07 ,
% 14.68/15.07 'class_OrderedGroup_Oab__semigroup__idem__mult' [123, 1] (w:1, o:103
% 14.68/15.07 , a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Oring__1__no__zero__divisors' [124, 1] (w:1
% 14.68/15.07 , o:94, a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Oab__semigroup__add' [125, 1] (w:1, o:104, a:1
% 14.68/15.07 , s:1, b:0),
% 14.68/15.07 'class_Orderings_Olinorder' [127, 1] (w:1, o:105, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Osemiring__1' [128, 1] (w:1, o:113, a:1, s:1
% 14.68/15.07 , b:0),
% 14.68/15.07 'class_Ring__and__Field_Osemiring' [129, 1] (w:1, o:114, a:1, s:1, b:
% 14.68/15.07 0),
% 14.68/15.07 'class_Ring__and__Field_Opordered__cancel__semiring' [130, 1] (w:1
% 14.68/15.07 , o:115, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Oring__1' [131, 1] (w:1, o:95, a:1, s:1, b:0)
% 14.68/15.07 ,
% 14.68/15.07 'class_Ring__and__Field_Omult__mono' [132, 1] (w:1, o:63, a:1, s:1
% 14.68/15.07 , b:0),
% 14.68/15.07 'class_Ring__and__Field_Omult__mono1' [133, 1] (w:1, o:64, a:1, s:1
% 14.68/15.07 , b:0),
% 14.68/15.07 'class_OrderedGroup_Oab__semigroup__mult' [137, 1] (w:1, o:106, a:1
% 14.68/15.07 , s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Ocomm__semiring' [138, 1] (w:1, o:79, a:1, s:
% 14.68/15.07 1, b:0),
% 14.68/15.07 'class_OrderedGroup_Ocancel__ab__semigroup__add' [139, 1] (w:1, o:107
% 14.68/15.07 , a:1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Ocancel__semigroup__add' [140, 1] (w:1, o:108, a:
% 14.68/15.07 1, s:1, b:0),
% 14.68/15.07 'c_Lambda_OdB_OApp' [141, 2] (w:1, o:146, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Oordered__comm__semiring__strict' [142, 1]
% 14.68/15.07 (w:1, o:85, a:1, s:1, b:0),
% 14.68/15.07 'class_Ring__and__Field_Opordered__semiring' [143, 1] (w:1, o:116, a:
% 14.68/15.07 1, s:1, b:0),
% 14.68/15.07 'class_OrderedGroup_Omonoid__add' [144, 1] (w:1, o:109, a:1, s:1, b:0
% 14.68/15.07 ),
% 14.68/15.07 'c_Lambda_Obeta' [145, 2] (w:1, o:147, a:1, s:1, b:0),
% 14.68/15.07 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [146, 2] (w:1, o:148, a:1
% 14.68/15.07 , s:1, b:0),
% 14.68/15.07 'c_List_Oupt' [155, 2] (w:1, o:149, a:1, s:1, b:0),
% 14.68/15.07 'c_List_Olast' [156, 2] (w:1, o:150, a:1, s:1, b:0),
% 14.68/15.07 'c_InductTermi_OIT' [157, 1] (w:1, o:117, a:1, s:1, b:0),
% 14.68/15.07 'v_r' [158, 0] (w:1, o:51, a:1, s:1, b:0),
% 14.68/15.07 'v_i' [159, 0] (w:1, o:52, a:1, s:1, b:0),
% 14.68/15.07 'v_j' [160, 0] (w:1, o:53, a:1, s:1, b:0).
% 14.68/15.07
% 14.68/15.07
% 14.68/15.07 Starting Search:
% 14.68/15.07
% 14.68/15.07 Resimplifying inuse:
% 14.68/15.07 Done
% 14.68/15.07
% 14.68/15.07
% 14.68/15.07 Intermediate Status:
% 14.68/15.07 Generated: 4018
% 14.68/15.07 Kept: 2084
% 14.68/15.07 Inuse: 113
% 14.68/15.07 Deleted: 3
% 14.68/15.07 Deletedinuse: 0
% 14.68/15.07
% 14.68/15.07 Resimplifying inuse:
% 14.68/15.07 Done
% 14.68/15.07
% 14.68/15.07 Resimplifying inuse:
% 14.68/15.07 Done
% 14.68/15.07
% 14.68/15.07
% 14.68/15.07 Intermediate Status:
% 14.68/15.07 Generated: 12148
% 14.68/15.07 Kept: 4102
% 14.68/15.07 Inuse: 173
% 14.68/15.07 Deleted: 3
% 14.68/15.07 Deletedinuse: 0
% 14.68/15.07
% 14.68/15.07 Resimplifying inuse:
% 14.68/15.07 Done
% 14.68/15.07
% 14.68/15.07 Resimplifying inuse:
% 14.68/15.07 Done
% 14.68/15.07
% 14.68/15.07
% 14.68/15.07 Intermediate Status:
% 14.68/15.07 Generated: 22739
% 14.68/15.07 Kept: 6490
% 14.68/15.07 Inuse: 224
% 14.68/15.07 Deleted: 3
% 14.68/15.07 Deletedinuse: 0
% 14.68/15.07
% 14.68/15.07 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 34781
% 57.57/57.94 Kept: 8502
% 57.57/57.94 Inuse: 263
% 57.57/57.94 Deleted: 3
% 57.57/57.94 Deletedinuse: 0
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 45552
% 57.57/57.94 Kept: 10509
% 57.57/57.94 Inuse: 313
% 57.57/57.94 Deleted: 7
% 57.57/57.94 Deletedinuse: 0
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 57389
% 57.57/57.94 Kept: 12510
% 57.57/57.94 Inuse: 357
% 57.57/57.94 Deleted: 7
% 57.57/57.94 Deletedinuse: 0
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 68687
% 57.57/57.94 Kept: 14541
% 57.57/57.94 Inuse: 423
% 57.57/57.94 Deleted: 8
% 57.57/57.94 Deletedinuse: 0
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 77286
% 57.57/57.94 Kept: 16560
% 57.57/57.94 Inuse: 465
% 57.57/57.94 Deleted: 9
% 57.57/57.94 Deletedinuse: 0
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 87491
% 57.57/57.94 Kept: 18583
% 57.57/57.94 Inuse: 500
% 57.57/57.94 Deleted: 13
% 57.57/57.94 Deletedinuse: 1
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying clauses:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 100645
% 57.57/57.94 Kept: 20940
% 57.57/57.94 Inuse: 540
% 57.57/57.94 Deleted: 572
% 57.57/57.94 Deletedinuse: 1
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 109260
% 57.57/57.94 Kept: 23096
% 57.57/57.94 Inuse: 570
% 57.57/57.94 Deleted: 616
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 124075
% 57.57/57.94 Kept: 25096
% 57.57/57.94 Inuse: 631
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 137544
% 57.57/57.94 Kept: 27112
% 57.57/57.94 Inuse: 685
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 152426
% 57.57/57.94 Kept: 30395
% 57.57/57.94 Inuse: 719
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 170014
% 57.57/57.94 Kept: 32602
% 57.57/57.94 Inuse: 754
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 193751
% 57.57/57.94 Kept: 34744
% 57.57/57.94 Inuse: 784
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 211096
% 57.57/57.94 Kept: 36770
% 57.57/57.94 Inuse: 837
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 223862
% 57.57/57.94 Kept: 38866
% 57.57/57.94 Inuse: 852
% 57.57/57.94 Deleted: 622
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying clauses:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 238776
% 57.57/57.94 Kept: 41526
% 57.57/57.94 Inuse: 904
% 57.57/57.94 Deleted: 2214
% 57.57/57.94 Deletedinuse: 6
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 249428
% 57.57/57.94 Kept: 43563
% 57.57/57.94 Inuse: 914
% 57.57/57.94 Deleted: 2216
% 57.57/57.94 Deletedinuse: 8
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 259449
% 57.57/57.94 Kept: 45593
% 57.57/57.94 Inuse: 934
% 57.57/57.94 Deleted: 2217
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 278273
% 57.57/57.94 Kept: 48644
% 57.57/57.94 Inuse: 959
% 57.57/57.94 Deleted: 2217
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 291601
% 57.57/57.94 Kept: 50656
% 57.57/57.94 Inuse: 998
% 57.57/57.94 Deleted: 2218
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 302158
% 57.57/57.94 Kept: 52656
% 57.57/57.94 Inuse: 1014
% 57.57/57.94 Deleted: 2218
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 320685
% 57.57/57.94 Kept: 55127
% 57.57/57.94 Inuse: 1036
% 57.57/57.94 Deleted: 2219
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 338224
% 57.57/57.94 Kept: 57178
% 57.57/57.94 Inuse: 1082
% 57.57/57.94 Deleted: 2219
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 352365
% 57.57/57.94 Kept: 59199
% 57.57/57.94 Inuse: 1106
% 57.57/57.94 Deleted: 2219
% 57.57/57.94 Deletedinuse: 9
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying inuse:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94 Resimplifying clauses:
% 57.57/57.94 Done
% 57.57/57.94
% 57.57/57.94
% 57.57/57.94 Intermediate Status:
% 57.57/57.94 Generated: 367930
% 57.57/57.94 Kept: 61260
% 140.65/141.10 Inuse: 1132
% 140.65/141.10 Deleted: 3508
% 140.65/141.10 Deletedinuse: 10
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 384683
% 140.65/141.10 Kept: 63336
% 140.65/141.10 Inuse: 1167
% 140.65/141.10 Deleted: 3510
% 140.65/141.10 Deletedinuse: 12
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 409777
% 140.65/141.10 Kept: 65833
% 140.65/141.10 Inuse: 1192
% 140.65/141.10 Deleted: 3510
% 140.65/141.10 Deletedinuse: 12
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 447587
% 140.65/141.10 Kept: 67866
% 140.65/141.10 Inuse: 1224
% 140.65/141.10 Deleted: 3510
% 140.65/141.10 Deletedinuse: 12
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 458539
% 140.65/141.10 Kept: 69882
% 140.65/141.10 Inuse: 1253
% 140.65/141.10 Deleted: 3510
% 140.65/141.10 Deletedinuse: 12
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 473886
% 140.65/141.10 Kept: 72199
% 140.65/141.10 Inuse: 1277
% 140.65/141.10 Deleted: 3510
% 140.65/141.10 Deletedinuse: 12
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 497501
% 140.65/141.10 Kept: 76161
% 140.65/141.10 Inuse: 1284
% 140.65/141.10 Deleted: 3514
% 140.65/141.10 Deletedinuse: 13
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 509623
% 140.65/141.10 Kept: 78434
% 140.65/141.10 Inuse: 1289
% 140.65/141.10 Deleted: 3514
% 140.65/141.10 Deletedinuse: 13
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 524833
% 140.65/141.10 Kept: 80783
% 140.65/141.10 Inuse: 1296
% 140.65/141.10 Deleted: 3517
% 140.65/141.10 Deletedinuse: 13
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying clauses:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 555526
% 140.65/141.10 Kept: 84311
% 140.65/141.10 Inuse: 1319
% 140.65/141.10 Deleted: 4505
% 140.65/141.10 Deletedinuse: 13
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 566942
% 140.65/141.10 Kept: 86798
% 140.65/141.10 Inuse: 1325
% 140.65/141.10 Deleted: 4530
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 581959
% 140.65/141.10 Kept: 88872
% 140.65/141.10 Inuse: 1332
% 140.65/141.10 Deleted: 4538
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 593829
% 140.65/141.10 Kept: 91173
% 140.65/141.10 Inuse: 1355
% 140.65/141.10 Deleted: 4540
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 622903
% 140.65/141.10 Kept: 93193
% 140.65/141.10 Inuse: 1361
% 140.65/141.10 Deleted: 4540
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 640984
% 140.65/141.10 Kept: 95734
% 140.65/141.10 Inuse: 1370
% 140.65/141.10 Deleted: 4540
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 655476
% 140.65/141.10 Kept: 97798
% 140.65/141.10 Inuse: 1390
% 140.65/141.10 Deleted: 4540
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 669140
% 140.65/141.10 Kept: 99894
% 140.65/141.10 Inuse: 1420
% 140.65/141.10 Deleted: 4540
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying clauses:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 679431
% 140.65/141.10 Kept: 102008
% 140.65/141.10 Inuse: 1440
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 695278
% 140.65/141.10 Kept: 104020
% 140.65/141.10 Inuse: 1476
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 715657
% 140.65/141.10 Kept: 106869
% 140.65/141.10 Inuse: 1490
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 742700
% 140.65/141.10 Kept: 109301
% 140.65/141.10 Inuse: 1495
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 797918
% 140.65/141.10 Kept: 111336
% 140.65/141.10 Inuse: 1500
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 820096
% 140.65/141.10 Kept: 113339
% 140.65/141.10 Inuse: 1518
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 832724
% 140.65/141.10 Kept: 115420
% 140.65/141.10 Inuse: 1540
% 140.65/141.10 Deleted: 5644
% 140.65/141.10 Deletedinuse: 14
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 140.65/141.10
% 140.65/141.10
% 140.65/141.10 Intermediate Status:
% 140.65/141.10 Generated: 860375
% 140.65/141.10 Kept: 119238
% 140.65/141.10 Inuse: 1565
% 140.65/141.10 Deleted: 5646
% 140.65/141.10 Deletedinuse: 16
% 140.65/141.10
% 140.65/141.10 Resimplifying inuse:
% 140.65/141.10 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 877989
% 281.48/282.00 Kept: 122083
% 281.48/282.00 Inuse: 1570
% 281.48/282.00 Deleted: 5646
% 281.48/282.00 Deletedinuse: 16
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying clauses:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 894263
% 281.48/282.00 Kept: 124150
% 281.48/282.00 Inuse: 1575
% 281.48/282.00 Deleted: 6544
% 281.48/282.00 Deletedinuse: 16
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 911087
% 281.48/282.00 Kept: 126162
% 281.48/282.00 Inuse: 1602
% 281.48/282.00 Deleted: 6544
% 281.48/282.00 Deletedinuse: 16
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 926571
% 281.48/282.00 Kept: 128289
% 281.48/282.00 Inuse: 1625
% 281.48/282.00 Deleted: 6544
% 281.48/282.00 Deletedinuse: 16
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 945193
% 281.48/282.00 Kept: 130290
% 281.48/282.00 Inuse: 1657
% 281.48/282.00 Deleted: 6550
% 281.48/282.00 Deletedinuse: 22
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 972897
% 281.48/282.00 Kept: 134794
% 281.48/282.00 Inuse: 1675
% 281.48/282.00 Deleted: 6550
% 281.48/282.00 Deletedinuse: 22
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1008256
% 281.48/282.00 Kept: 137373
% 281.48/282.00 Inuse: 1685
% 281.48/282.00 Deleted: 6550
% 281.48/282.00 Deletedinuse: 22
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1044122
% 281.48/282.00 Kept: 140153
% 281.48/282.00 Inuse: 1695
% 281.48/282.00 Deleted: 6550
% 281.48/282.00 Deletedinuse: 22
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying clauses:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1059769
% 281.48/282.00 Kept: 142156
% 281.48/282.00 Inuse: 1707
% 281.48/282.00 Deleted: 7274
% 281.48/282.00 Deletedinuse: 22
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1075080
% 281.48/282.00 Kept: 144317
% 281.48/282.00 Inuse: 1725
% 281.48/282.00 Deleted: 7274
% 281.48/282.00 Deletedinuse: 22
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1097930
% 281.48/282.00 Kept: 147460
% 281.48/282.00 Inuse: 1745
% 281.48/282.00 Deleted: 7275
% 281.48/282.00 Deletedinuse: 23
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1115860
% 281.48/282.00 Kept: 149475
% 281.48/282.00 Inuse: 1757
% 281.48/282.00 Deleted: 7275
% 281.48/282.00 Deletedinuse: 23
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1171891
% 281.48/282.00 Kept: 153879
% 281.48/282.00 Inuse: 1765
% 281.48/282.00 Deleted: 7276
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1207097
% 281.48/282.00 Kept: 156873
% 281.48/282.00 Inuse: 1770
% 281.48/282.00 Deleted: 7276
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1221673
% 281.48/282.00 Kept: 159144
% 281.48/282.00 Inuse: 1790
% 281.48/282.00 Deleted: 7276
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1242412
% 281.48/282.00 Kept: 162345
% 281.48/282.00 Inuse: 1805
% 281.48/282.00 Deleted: 7276
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying clauses:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1254635
% 281.48/282.00 Kept: 164400
% 281.48/282.00 Inuse: 1820
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1267679
% 281.48/282.00 Kept: 166490
% 281.48/282.00 Inuse: 1835
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1280629
% 281.48/282.00 Kept: 168505
% 281.48/282.00 Inuse: 1850
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1313272
% 281.48/282.00 Kept: 171050
% 281.48/282.00 Inuse: 1860
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1335799
% 281.48/282.00 Kept: 173777
% 281.48/282.00 Inuse: 1870
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1363525
% 281.48/282.00 Kept: 177279
% 281.48/282.00 Inuse: 1880
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1382034
% 281.48/282.00 Kept: 179523
% 281.48/282.00 Inuse: 1905
% 281.48/282.00 Deleted: 7617
% 281.48/282.00 Deletedinuse: 24
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00 Resimplifying inuse:
% 281.48/282.00 Done
% 281.48/282.00
% 281.48/282.00
% 281.48/282.00 Intermediate Status:
% 281.48/282.00 Generated: 1400106
% 281.48/282.00 Kept: 181626
% 281.48/282.00 Inuse: 1929
% 281.48/282.00 Deleted: 7621
% 281.48/282.00 Deletedinuse: 27
% 281.48/282.00
% 281.48/282.00 ResCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------