TSTP Solution File: LCL791-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL791-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:58:01 EDT 2022
% Result : Timeout 300.03s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL791-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 03:31:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.98/1.37 *** allocated 10000 integers for termspace/termends
% 0.98/1.37 *** allocated 10000 integers for clauses
% 0.98/1.37 *** allocated 10000 integers for justifications
% 0.98/1.37 *** allocated 15000 integers for termspace/termends
% 0.98/1.37 *** allocated 22500 integers for termspace/termends
% 0.98/1.37 Bliksem 1.12
% 0.98/1.37
% 0.98/1.37
% 0.98/1.37 Automatic Strategy Selection
% 0.98/1.37
% 0.98/1.37 Clauses:
% 0.98/1.37 [
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.37 T, X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.37 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.98/1.37 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.37 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.98/1.37 ), =( X, T ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.37 ],
% 0.98/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.98/1.37 ), 'tc_nat' ), X ) ],
% 0.98/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.98/1.37 , X, 'tc_nat' ), X ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.37 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.98/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.98/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.37 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.98/1.37 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.98/1.37 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.37 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.98/1.37 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.98/1.37 'tc_nat' ) ],
% 0.98/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.98/1.37 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.37 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.37 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.37 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.98/1.37 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.37 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.37 , X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.37 'tc_nat' ), Z, 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), T, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat'
% 0.98/1.37 ), U, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.98/1.37 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 0.98/1.37 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.37 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), X, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat'
% 0.98/1.37 ), U, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.98/1.37 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.37 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.37 , X ), W, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.37 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.37 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.37 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.37 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.98/1.37 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.37 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.37 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.37 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.98/1.37 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.98/1.37 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.98/1.37 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.98/1.37 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.98/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.98/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.37 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.37 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.98/1.37 Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.37 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.98/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.37 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.98/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.37 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.37 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.37 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.37 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.37 , X ), W, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.37 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.98/1.37 , X ), T, X ), W, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.98/1.37 , X, 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.98/1.37 ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.98/1.37 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 X, T, 'tc_nat' ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.37 ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.37 ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.37 ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.37 ), X ) ) ],
% 0.98/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.37 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.37 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.98/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.98/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.98/1.37 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.37 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.98/1.37 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.98/1.37 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.37 , T, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.37 , Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.37 , T, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.37 , Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.37 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.37 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.98/1.37 Y, Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.37 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.37 Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.37 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.37 Z, X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.98/1.37 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.98/1.37 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.37 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.37 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.98/1.37 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.98/1.37 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.98/1.37 ],
% 0.98/1.37 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.98/1.37 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.98/1.37 ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.98/1.37 ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 0.98/1.37 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.98/1.37 ), Y ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.37 'tc_nat' ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.37 'tc_nat' ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.98/1.37 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 Z, T, 'tc_nat' ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.37 Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.37 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.37 ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.37 ), X ) ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.37 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.98/1.37 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.37 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.37 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.37 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.37 , Y, X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.37 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.37 , Y, X ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.37 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.98/1.37 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.37 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.98/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.37 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.37 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.37 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.98/1.37 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.37 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.37 Y, T, X ), X ) ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.98/1.37 ) ],
% 0.98/1.37 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.98/1.37 ) ],
% 0.98/1.37 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.37 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.98/1.37 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.98/1.37 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.98/1.37 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.98/1.37 X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.98/1.37 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.98/1.37 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.37 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.98/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.37 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.37 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.98/1.38 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.98/1.38 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.98/1.38 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.38 'tc_nat' ), X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.98/1.38 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.98/1.38 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), T, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), T,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.38 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , Z, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.38 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , Z, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.38 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , T, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , T, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.98/1.38 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.98/1.38 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.38 , X ), W, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.98/1.38 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.98/1.38 W, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.98/1.38 , X ), T, X ), W, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.98/1.38 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.98/1.38 W, X ), X ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ), U, 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_lessequals'( T, X, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ), Z, 'tc_nat' ), U ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ), U, 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ), U, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 X ), Y ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.38 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), T,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.38 X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.38 X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.38 X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.38 X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.98/1.38 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.38 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.38 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.38 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 X, Z, 'tc_nat' ), T, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' )
% 0.98/1.38 ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.98/1.38 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ), Z,
% 0.98/1.38 'tc_nat' ), U, 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.38 'tc_nat' ), T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat'
% 0.98/1.38 ), X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), U, 'tc_nat' ), 'tc_nat' )
% 0.98/1.38 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat'
% 0.98/1.38 ), U, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ), U,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.38 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.98/1.38 , T ), =( X, Z ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.98/1.38 , T ), =( X, Z ) ],
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ), X ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.38 , X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.98/1.38 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ), X ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.98/1.38 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.98/1.38 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.98/1.38 ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.98/1.38 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.98/1.38 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , T, X ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.38 , T, X ) ) ), =( Z, T ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.98/1.38 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.98/1.38 X ), X ), Y ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.98/1.38 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.98/1.38 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.98/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.98/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.38 , T, X ), X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OApp'( X, Y ),
% 0.98/1.38 'tc_Lambda_OdB' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ),
% 0.98/1.38 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ), 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.98/1.38 , X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.98/1.38 , X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.98/1.38 Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.38 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.98/1.38 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.98/1.38 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.98/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.98/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.98/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.98/1.38 ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.38 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.38 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.98/1.38 'tc_nat' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Y, T, X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.98/1.38 , T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.98/1.38 , Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.98/1.38 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.98/1.38 , 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.98/1.38 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.98/1.38 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.98/1.38 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.98/1.38 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.98/1.38 , X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.98/1.38 X ) ) ), =( Z, T ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.98/1.38 X ) ) ), =( Z, T ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.98/1.38 X ) ) ), =( Y, T ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.98/1.38 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.98/1.38 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.38 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.38 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.98/1.38 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.98/1.38 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.38 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.98/1.38 ) ],
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( 'c_Suc'( X ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ),
% 0.98/1.38 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ), 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat'
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.38 , X ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.38 , X ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.38 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.98/1.38 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.38 ), =( Z, Y ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ) ],
% 0.98/1.38 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.98/1.38 , Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.38 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.98/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.98/1.38 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.38 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.38 , Z, X ) ) ],
% 0.98/1.38 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.98/1.38 ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Osubst'( X, 'c_Lambda_Olift'( Y, Z ),
% 0.98/1.38 'c_Suc'( T ) ), 'c_Lambda_Osubst'( U, Y, T ), Z ), 'c_Lambda_Osubst'(
% 0.98/1.38 'c_Lambda_Osubst'( X, U, Z ), Y, T ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.98/1.38 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.38 'tc_Lambda_OdB' ), 'c_HOL_Oplus__class_Oplus'( 'c_Nat_Osize__class_Osize'(
% 0.98/1.38 X, 'tc_Lambda_OdB' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.98/1.38 Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.38 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.38 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.98/1.38 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.98/1.38 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.98/1.38 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.98/1.38 X ), X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_nat_Onat__size'( X ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.38 ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.98/1.38 X ), X ), Y ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ],
% 0.98/1.38 [ =( 'c_List_Odrop'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.98/1.38 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), Z, T ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.38 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, T, X ), Z, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.98/1.38 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.98/1.38 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.98/1.38 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ) ) )
% 0.98/1.38 ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.98/1.38 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.38 [ =( 'c_Lambda_Olift'( 'c_Lambda_Olift'( X, Y ), 'c_Suc'( Z ) ),
% 0.98/1.38 'c_Lambda_Olift'( 'c_Lambda_Olift'( X, Z ), Y ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.38 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.38 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.38 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.98/1.38 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.98/1.38 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.98/1.38 ],
% 0.98/1.38 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.38 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.98/1.38 ), Y, X ) ), =( Z, T ) ],
% 0.98/1.38 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.38 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.98/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ) ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ) ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.98/1.38 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.98/1.38 ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.98/1.38 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.38 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.98/1.38 , Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.38 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.98/1.38 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.98/1.38 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.98/1.38 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.98/1.38 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.38 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.98/1.38 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.98/1.38 Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.98/1.38 Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 0.98/1.38 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.38 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.98/1.38 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.98/1.38 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.38 ) ), =( X, T ) ],
% 0.98/1.38 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.38 ) ), =( Y, U ) ],
% 0.98/1.38 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.98/1.38 , 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.38 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.98/1.38 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.98/1.38 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.98/1.38 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.38 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.38 , X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.38 , X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.98/1.38 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.98/1.38 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.98/1.38 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.98/1.38 ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.98/1.38 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.98/1.38 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.98/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.38 ), Y ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.38 ), Y ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.38 ), Y ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.38 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Olift'( 'c_Lambda_Osubst'( X, Y, Z ), T ),
% 0.98/1.38 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, T ), 'c_Lambda_Olift'( Y, T ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Olift'( 'c_Lambda_Osubst'( X, Y, Z ), T ),
% 0.98/1.38 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, 'c_HOL_Oplus__class_Oplus'( T,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'c_Lambda_Olift'( Y,
% 0.98/1.38 T ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 T, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.98/1.38 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.38 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.98/1.38 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.98/1.38 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.98/1.38 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Y, X ), X ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.98/1.38 ],
% 0.98/1.38 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.38 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.38 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.98/1.38 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.98/1.38 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.38 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.38 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.98/1.38 ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.98/1.38 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.98/1.38 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.98/1.38 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.98/1.38 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.38 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.98/1.38 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.98/1.38 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.98/1.38 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.98/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.98/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.98/1.38 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OApp'( X, Y ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_Lambda_OdB_OdB__size'( X ), 'c_Lambda_OdB_OdB__size'( Y ), 'tc_nat' )
% 0.98/1.38 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.98/1.38 'c_Lambda_OdB_OAbs'( 'c_Lambda_Olift'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.98/1.38 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.38 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_Lambda_OdB_OdB__size'( X ), 'c_Suc'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.38 T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.38 T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 T, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.98/1.38 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.98/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.98/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.38 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.98/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.38 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.38 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.98/1.38 'tc_Lambda_OdB' ) ) ],
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.38 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.98/1.38 X ) ],
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.38 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.98/1.38 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Orderings_Oord__class_Omin'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.98/1.38 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.98/1.38 [ =( 'c_Nitpick_Onat__gcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.98/1.38 , X ) ],
% 0.98/1.38 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ), 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.98/1.38 ],
% 0.98/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.98/1.38 ],
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.98/1.38 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.38 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.98/1.38 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.98/1.38 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.38 , X, 'tc_nat' ), X ) ],
% 0.98/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.38 ), 'tc_nat' ), X ) ],
% 0.98/1.38 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.98/1.38 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.98/1.38 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.98/1.38 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.98/1.38 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.98/1.38 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OApp'( Y, Z ), T ),
% 0.98/1.38 'c_Lambda_OdB_OApp'( 'c_Lambda_Oliftn'( X, Y, T ), 'c_Lambda_Oliftn'( X,
% 0.98/1.38 Z, T ) ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.98/1.38 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ), 'c_Lambda_Osubstn'( Y
% 0.98/1.38 , Z, T ) ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.98/1.38 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.98/1.38 ],
% 0.98/1.38 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.98/1.38 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubst'( X, 'c_Lambda_Olift'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.38 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ) ) ],
% 0.98/1.38 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.98/1.38 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.98/1.38 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.98/1.38 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.98/1.38 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.98/1.38 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.98/1.38 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.98/1.38 [ 'c_InductTermi_OIT'( 'v_ua______' ) ],
% 0.98/1.38 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.98/1.38 'c_InductTermi_OIT'( X ) ) ],
% 0.98/1.38 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.98/1.38 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.38 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.98/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.38 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.38 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.98/1.38 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.38 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.38 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.39 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.39 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.39 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.98/1.39 'tc_nat' ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.98/1.39 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.98/1.39 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.98/1.39 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( 'v_n____', 'v_i____' ) ],
% 0.98/1.39 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.98/1.39 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.98/1.39 Z, T ) ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.98/1.39 ) ],
% 0.98/1.39 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.98/1.39 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.98/1.39 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.98/1.39 =( X, Z ) ],
% 0.98/1.39 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.98/1.39 =( Y, T ) ],
% 0.98/1.39 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.98/1.39 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.98/1.39 'c_InductTermi_OIT'( X ) ) ],
% 0.98/1.39 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.98/1.39 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.98/1.39 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 0.98/1.39 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.98/1.39 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.98/1.39 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.98/1.39 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.98/1.39 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.98/1.39 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.98/1.39 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'(
% 0.98/1.39 'c_Lambda_Olift'( 'v_u____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.39 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.98/1.39 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_i____' ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.39 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.98/1.39 ],
% 0.98/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.98/1.39 ],
% 0.98/1.39 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.98/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.39 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.39 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.39 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.39 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Power_Opower'( 'tc_nat' ) ]
% 1.01/1.39 ] .
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 percentage equality = 0.224785, percentage horn = 0.854077
% 1.01/1.39 This is a problem with some equality
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 Options Used:
% 1.01/1.39
% 1.01/1.39 useres = 1
% 1.01/1.39 useparamod = 1
% 1.01/1.39 useeqrefl = 1
% 1.01/1.39 useeqfact = 1
% 1.01/1.39 usefactor = 1
% 1.01/1.39 usesimpsplitting = 0
% 1.01/1.39 usesimpdemod = 5
% 1.01/1.39 usesimpres = 3
% 1.01/1.39
% 1.01/1.39 resimpinuse = 1000
% 1.01/1.39 resimpclauses = 20000
% 1.01/1.39 substype = eqrewr
% 1.01/1.39 backwardsubs = 1
% 1.01/1.39 selectoldest = 5
% 1.01/1.39
% 1.01/1.39 litorderings [0] = split
% 1.01/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.39
% 1.01/1.39 termordering = kbo
% 1.01/1.39
% 1.01/1.39 litapriori = 0
% 1.01/1.39 termapriori = 1
% 1.01/1.39 litaposteriori = 0
% 1.01/1.39 termaposteriori = 0
% 1.01/1.39 demodaposteriori = 0
% 1.01/1.39 ordereqreflfact = 0
% 1.01/1.39
% 1.01/1.39 litselect = negord
% 1.01/1.39
% 1.01/1.39 maxweight = 15
% 1.01/1.39 maxdepth = 30000
% 1.01/1.39 maxlength = 115
% 1.01/1.39 maxnrvars = 195
% 1.01/1.39 excuselevel = 1
% 1.01/1.39 increasemaxweight = 1
% 1.01/1.39
% 1.01/1.39 maxselected = 10000000
% 1.01/1.39 maxnrclauses = 10000000
% 1.01/1.39
% 1.01/1.39 showgenerated = 0
% 1.01/1.39 showkept = 0
% 1.01/1.39 showselected = 0
% 1.01/1.39 showdeleted = 0
% 1.01/1.39 showresimp = 1
% 1.01/1.39 showstatus = 2000
% 1.01/1.39
% 1.01/1.39 prologoutput = 1
% 1.01/1.39 nrgoals = 5000000
% 1.01/1.39 totalproof = 1
% 1.01/1.39
% 1.01/1.39 Symbols occurring in the translation:
% 1.01/1.39
% 1.01/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.39 . [1, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.01/1.39 ! [4, 1] (w:0, o:68, a:1, s:1, b:0),
% 1.01/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.39 'class_Orderings_Olinorder' [40, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.01/1.39 'c_Orderings_Oord__class_Omax' [43, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.01/1.39 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.01/1.39 'tc_nat' [48, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.01/1.39 'c_HOL_Ominus__class_Ominus' [49, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.01/1.39 'c_Suc' [50, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.01/1.39 'c_HOL_Oplus__class_Oplus' [52, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.01/1.39 'c_lessequals' [53, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.01/1.39 'c_List_Oreplicate' [54, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.01/1.39 'class_Ring__and__Field_Ocomm__semiring__1' [56, 1] (w:1, o:77, a:1
% 1.01/1.39 , s:1, b:0),
% 1.01/1.39 'c_HOL_Oone__class_Oone' [57, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.01/1.39 'c_HOL_Otimes__class_Otimes' [58, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.01/1.39 'class_OrderedGroup_Ocomm__monoid__mult' [59, 1] (w:1, o:79, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'class_OrderedGroup_Omonoid__mult' [61, 1] (w:1, o:81, a:1, s:1, b:0)
% 1.01/1.39 ,
% 1.01/1.39 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [62, 1]
% 1.01/1.39 (w:1, o:83, a:1, s:1, b:0),
% 1.01/1.39 'class_OrderedGroup_Ocomm__monoid__add' [63, 1] (w:1, o:84, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'c_HOL_Ozero__class_Ozero' [66, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.01/1.39 'class_Ring__and__Field_Oordered__field' [67, 1] (w:1, o:88, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'c_HOL_Oinverse__class_Odivide' [68, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.01/1.39
% 1.01/1.39 'class_Ring__and__Field_Ofield' [70, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.01/1.39 'class_Ring__and__Field_Odivision__by__zero' [71, 1] (w:1, o:91, a:1
% 1.01/1.39 , s:1, b:0),
% 1.01/1.39 'c_Power_Opower__class_Opower' [72, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.01/1.39 'class_Ring__and__Field_Oordered__semidom' [73, 1] (w:1, o:93, a:1
% 1.01/1.39 , s:1, b:0),
% 1.01/1.39 'c_Nat_Osemiring__1__class_Oof__nat' [74, 2] (w:1, o:162, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'class_OrderedGroup_Opordered__ab__group__add' [75, 1] (w:1, o:94, a:
% 1.01/1.39 1, s:1, b:0),
% 1.01/1.39 'c_Orderings_Oord__class_Omin' [76, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.01/1.39 'class_OrderedGroup_Oordered__ab__group__add' [77, 1] (w:1, o:82, a:1
% 1.01/1.39 , s:1, b:0),
% 1.01/1.39 'c_HOL_Ouminus__class_Ouminus' [78, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.01/1.39 'class_OrderedGroup_Olordered__ab__group__add' [79, 1] (w:1, o:80, a:
% 1.01/1.39 1, s:1, b:0),
% 1.01/1.39 'class_Ring__and__Field_Oring' [80, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.01/1.39 'class_Ring__and__Field_Oordered__semiring__strict' [82, 1] (w:1, o:
% 3.99/4.34 96, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Osemiring__0' [84, 1] (w:1, o:100, a:1, s:1
% 3.99/4.34 , b:0),
% 3.99/4.34 'class_Power_Opower' [85, 1] (w:1, o:115, a:1, s:1, b:0),
% 3.99/4.34 'class_Orderings_Obot' [88, 1] (w:1, o:101, a:1, s:1, b:0),
% 3.99/4.34 'c_Orderings_Obot__class_Obot' [89, 1] (w:1, o:116, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Opordered__ring' [91, 1] (w:1, o:120, a:1, s:
% 3.99/4.34 1, b:0),
% 3.99/4.34 'c_Lambda_OdB_OAbs' [93, 1] (w:1, o:121, a:1, s:1, b:0),
% 3.99/4.34 'c_Lambda_Osubstn' [95, 3] (w:1, o:181, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oordered__ring__strict' [96, 1] (w:1, o:92
% 3.99/4.34 , a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oring__1' [98, 1] (w:1, o:97, a:1, s:1, b:0)
% 3.99/4.34 ,
% 3.99/4.34 'class_Nat_Osemiring__char__0' [99, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oordered__semiring' [100, 1] (w:1, o:117, a:1
% 3.99/4.34 , s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oidom' [101, 1] (w:1, o:122, a:1, s:1, b:0),
% 3.99/4.34
% 3.99/4.34 'class_Int_Onumber__ring' [102, 1] (w:1, o:123, a:1, s:1, b:0),
% 3.99/4.34 'class_OrderedGroup_Ogroup__add' [103, 1] (w:1, o:102, a:1, s:1, b:0)
% 3.99/4.34 ,
% 3.99/4.34 'class_OrderedGroup_Opordered__ab__semigroup__add' [106, 1] (w:1, o:
% 3.99/4.34 103, a:1, s:1, b:0),
% 3.99/4.34 'class_OrderedGroup_Opordered__comm__monoid__add' [107, 1] (w:1, o:
% 3.99/4.34 104, a:1, s:1, b:0),
% 3.99/4.34 'class_Orderings_Opreorder' [108, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.99/4.34 'class_Orderings_Oorder' [109, 1] (w:1, o:105, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Osgn__if' [110, 1] (w:1, o:124, a:1, s:1, b:0
% 3.99/4.34 ),
% 3.99/4.34 'c_HOL_Osgn__class_Osgn' [111, 2] (w:1, o:164, a:1, s:1, b:0),
% 3.99/4.34 'class_OrderedGroup_Oab__group__add' [112, 1] (w:1, o:107, a:1, s:1
% 3.99/4.34 , b:0),
% 3.99/4.34 'class_OrderedGroup_Oab__semigroup__add' [113, 1] (w:1, o:108, a:1
% 3.99/4.34 , s:1, b:0),
% 3.99/4.34 'c_List_Olist_OCons' [115, 3] (w:1, o:182, a:1, s:1, b:0),
% 3.99/4.34 'c_List_Odrop' [116, 3] (w:1, o:183, a:1, s:1, b:0),
% 3.99/4.34 'c_Lambda_Oliftn' [117, 3] (w:1, o:184, a:1, s:1, b:0),
% 3.99/4.34 'c_Lambda_Olift' [118, 2] (w:1, o:165, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oordered__idom' [119, 1] (w:1, o:118, a:1, s:
% 3.99/4.34 1, b:0),
% 3.99/4.34 'c_Lambda_OdB_OVar' [122, 1] (w:1, o:125, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Osemiring__1' [125, 1] (w:1, o:126, a:1, s:1
% 3.99/4.34 , b:0),
% 3.99/4.34 'c_Nat_Osize__class_Osize' [126, 2] (w:1, o:166, a:1, s:1, b:0),
% 3.99/4.34 'c_Lambda_OdB_OApp' [132, 2] (w:1, o:167, a:1, s:1, b:0),
% 3.99/4.34 'tc_Lambda_OdB' [133, 0] (w:1, o:53, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Osemiring' [134, 1] (w:1, o:127, a:1, s:1, b:
% 3.99/4.34 0),
% 3.99/4.34 'class_Ring__and__Field_Opordered__cancel__semiring' [135, 1] (w:1
% 3.99/4.34 , o:128, a:1, s:1, b:0),
% 3.99/4.34 'class_OrderedGroup_Ocancel__ab__semigroup__add' [136, 1] (w:1, o:109
% 3.99/4.34 , a:1, s:1, b:0),
% 3.99/4.34 'class_OrderedGroup_Ocancel__semigroup__add' [137, 1] (w:1, o:110, a:
% 3.99/4.34 1, s:1, b:0),
% 3.99/4.34 'class_Lattices_Oboolean__algebra' [142, 1] (w:1, o:129, a:1, s:1, b:
% 3.99/4.34 0),
% 3.99/4.34 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [143, 1]
% 3.99/4.34 (w:1, o:111, a:1, s:1, b:0),
% 3.99/4.34 'c_Lambda_Osubst' [145, 3] (w:1, o:185, a:1, s:1, b:0),
% 3.99/4.34 'c_nat_Onat__size' [146, 1] (w:1, o:130, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oordered__comm__semiring__strict' [147, 1]
% 3.99/4.34 (w:1, o:119, a:1, s:1, b:0),
% 3.99/4.34 'class_OrderedGroup_Oab__semigroup__idem__mult' [148, 1] (w:1, o:112
% 3.99/4.34 , a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Omult__mono' [149, 1] (w:1, o:131, a:1, s:1
% 3.99/4.34 , b:0),
% 3.99/4.34 'class_Ring__and__Field_Omult__mono1' [150, 1] (w:1, o:132, a:1, s:1
% 3.99/4.34 , b:0),
% 3.99/4.34 'class_Ring__and__Field_Opordered__semiring' [155, 1] (w:1, o:133, a:
% 3.99/4.34 1, s:1, b:0),
% 3.99/4.34 'c_Lambda_Obeta' [156, 2] (w:1, o:168, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Ozero__neq__one' [157, 1] (w:1, o:134, a:1
% 3.99/4.34 , s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Ono__zero__divisors' [158, 1] (w:1, o:87, a:1
% 3.99/4.34 , s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Omult__zero' [159, 1] (w:1, o:86, a:1, s:1
% 3.99/4.34 , b:0),
% 3.99/4.34 'class_Ring__and__Field_Oring__1__no__zero__divisors' [160, 1] (w:1
% 3.99/4.34 , o:98, a:1, s:1, b:0),
% 3.99/4.34 'class_Ring__and__Field_Oring__no__zero__divisors' [161, 1] (w:1, o:
% 29.56/29.99 99, a:1, s:1, b:0),
% 29.56/29.99 'c_Lambda_OdB_OdB__size' [162, 1] (w:1, o:135, a:1, s:1, b:0),
% 29.56/29.99 'class_OrderedGroup_Oab__semigroup__mult' [163, 1] (w:1, o:113, a:1
% 29.56/29.99 , s:1, b:0),
% 29.56/29.99 'class_Ring__and__Field_Ocomm__semiring' [164, 1] (w:1, o:90, a:1, s:
% 29.56/29.99 1, b:0),
% 29.56/29.99 'class_OrderedGroup_Omonoid__add' [165, 1] (w:1, o:114, a:1, s:1, b:0
% 29.56/29.99 ),
% 29.56/29.99 'v_rs____' [166, 0] (w:1, o:54, a:1, s:1, b:0),
% 29.56/29.99 'v_a____' [167, 0] (w:1, o:55, a:1, s:1, b:0),
% 29.56/29.99 'v_as____' [168, 0] (w:1, o:56, a:1, s:1, b:0),
% 29.56/29.99 'c_Nitpick_Onat__gcd' [169, 2] (w:1, o:169, a:1, s:1, b:0),
% 29.56/29.99 'c_String_Ochar_Ochar__size' [170, 1] (w:1, o:75, a:1, s:1, b:0),
% 29.56/29.99 'tc_String_Ochar' [171, 0] (w:1, o:57, a:1, s:1, b:0),
% 29.56/29.99 'v_ua______' [172, 0] (w:1, o:58, a:1, s:1, b:0),
% 29.56/29.99 'c_InductTermi_OIT' [173, 1] (w:1, o:136, a:1, s:1, b:0),
% 29.56/29.99 'v_n____' [174, 0] (w:1, o:59, a:1, s:1, b:0),
% 29.56/29.99 'v_i____' [175, 0] (w:1, o:60, a:1, s:1, b:0),
% 29.56/29.99 'v_u____' [178, 0] (w:1, o:61, a:1, s:1, b:0),
% 29.56/29.99 'v_T____' [179, 0] (w:1, o:62, a:1, s:1, b:0),
% 29.56/29.99 'c_Type_Otype_OFun' [180, 0] (w:1, o:63, a:1, s:1, b:0),
% 29.56/29.99 'v_T_H_H____' [181, 0] (w:1, o:64, a:1, s:1, b:0),
% 29.56/29.99 hAPP [182, 2] (w:1, o:170, a:1, s:1, b:0),
% 29.56/29.99 'v_Ts____' [183, 0] (w:1, o:65, a:1, s:1, b:0),
% 29.56/29.99 'v_T_H____' [184, 0] (w:1, o:66, a:1, s:1, b:0),
% 29.56/29.99 'tc_Type_Otype' [185, 0] (w:1, o:67, a:1, s:1, b:0),
% 29.56/29.99 'c_List_Ofoldr' [186, 5] (w:1, o:186, a:1, s:1, b:0).
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Starting Search:
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 4877
% 29.56/29.99 Kept: 2008
% 29.56/29.99 Inuse: 178
% 29.56/29.99 Deleted: 3
% 29.56/29.99 Deletedinuse: 0
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 11387
% 29.56/29.99 Kept: 4012
% 29.56/29.99 Inuse: 305
% 29.56/29.99 Deleted: 3
% 29.56/29.99 Deletedinuse: 0
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 21497
% 29.56/29.99 Kept: 6603
% 29.56/29.99 Inuse: 440
% 29.56/29.99 Deleted: 7
% 29.56/29.99 Deletedinuse: 1
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 30542
% 29.56/29.99 Kept: 8603
% 29.56/29.99 Inuse: 497
% 29.56/29.99 Deleted: 9
% 29.56/29.99 Deletedinuse: 1
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 38588
% 29.56/29.99 Kept: 10612
% 29.56/29.99 Inuse: 555
% 29.56/29.99 Deleted: 11
% 29.56/29.99 Deletedinuse: 1
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 53951
% 29.56/29.99 Kept: 13053
% 29.56/29.99 Inuse: 623
% 29.56/29.99 Deleted: 24
% 29.56/29.99 Deletedinuse: 4
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 62227
% 29.56/29.99 Kept: 15372
% 29.56/29.99 Inuse: 637
% 29.56/29.99 Deleted: 24
% 29.56/29.99 Deletedinuse: 4
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 71868
% 29.56/29.99 Kept: 17384
% 29.56/29.99 Inuse: 702
% 29.56/29.99 Deleted: 26
% 29.56/29.99 Deletedinuse: 4
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 79287
% 29.56/29.99 Kept: 19413
% 29.56/29.99 Inuse: 710
% 29.56/29.99 Deleted: 27
% 29.56/29.99 Deletedinuse: 4
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying clauses:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 89976
% 29.56/29.99 Kept: 21471
% 29.56/29.99 Inuse: 768
% 29.56/29.99 Deleted: 1030
% 29.56/29.99 Deletedinuse: 14
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 98554
% 29.56/29.99 Kept: 23777
% 29.56/29.99 Inuse: 781
% 29.56/29.99 Deleted: 1030
% 29.56/29.99 Deletedinuse: 14
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 106743
% 29.56/29.99 Kept: 25781
% 29.56/29.99 Inuse: 826
% 29.56/29.99 Deleted: 1031
% 29.56/29.99 Deletedinuse: 15
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 114904
% 29.56/29.99 Kept: 28304
% 29.56/29.99 Inuse: 858
% 29.56/29.99 Deleted: 1031
% 29.56/29.99 Deletedinuse: 15
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 120028
% 29.56/29.99 Kept: 30339
% 29.56/29.99 Inuse: 872
% 29.56/29.99 Deleted: 1032
% 29.56/29.99 Deletedinuse: 15
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 127680
% 29.56/29.99 Kept: 32403
% 29.56/29.99 Inuse: 921
% 29.56/29.99 Deleted: 1033
% 29.56/29.99 Deletedinuse: 15
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99
% 29.56/29.99 Intermediate Status:
% 29.56/29.99 Generated: 139736
% 29.56/29.99 Kept: 34883
% 29.56/29.99 Inuse: 951
% 29.56/29.99 Deleted: 1039
% 29.56/29.99 Deletedinuse: 16
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 29.56/29.99 Done
% 29.56/29.99
% 29.56/29.99 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 148800
% 73.20/73.60 Kept: 36886
% 73.20/73.60 Inuse: 975
% 73.20/73.60 Deleted: 1044
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 158497
% 73.20/73.60 Kept: 38898
% 73.20/73.60 Inuse: 1001
% 73.20/73.60 Deleted: 1045
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying clauses:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 180613
% 73.20/73.60 Kept: 40908
% 73.20/73.60 Inuse: 1048
% 73.20/73.60 Deleted: 1662
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 188294
% 73.20/73.60 Kept: 42922
% 73.20/73.60 Inuse: 1086
% 73.20/73.60 Deleted: 1663
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 201172
% 73.20/73.60 Kept: 45536
% 73.20/73.60 Inuse: 1114
% 73.20/73.60 Deleted: 1663
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 215383
% 73.20/73.60 Kept: 47931
% 73.20/73.60 Inuse: 1124
% 73.20/73.60 Deleted: 1663
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 225024
% 73.20/73.60 Kept: 50092
% 73.20/73.60 Inuse: 1148
% 73.20/73.60 Deleted: 1664
% 73.20/73.60 Deletedinuse: 16
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 254418
% 73.20/73.60 Kept: 54100
% 73.20/73.60 Inuse: 1173
% 73.20/73.60 Deleted: 1666
% 73.20/73.60 Deletedinuse: 18
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 280398
% 73.20/73.60 Kept: 56485
% 73.20/73.60 Inuse: 1178
% 73.20/73.60 Deleted: 1666
% 73.20/73.60 Deletedinuse: 18
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 296668
% 73.20/73.60 Kept: 60865
% 73.20/73.60 Inuse: 1208
% 73.20/73.60 Deleted: 1666
% 73.20/73.60 Deletedinuse: 18
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying clauses:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 312016
% 73.20/73.60 Kept: 62890
% 73.20/73.60 Inuse: 1221
% 73.20/73.60 Deleted: 2561
% 73.20/73.60 Deletedinuse: 21
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 330020
% 73.20/73.60 Kept: 65104
% 73.20/73.60 Inuse: 1228
% 73.20/73.60 Deleted: 2561
% 73.20/73.60 Deletedinuse: 21
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 340192
% 73.20/73.60 Kept: 67104
% 73.20/73.60 Inuse: 1257
% 73.20/73.60 Deleted: 2561
% 73.20/73.60 Deletedinuse: 21
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 374844
% 73.20/73.60 Kept: 69123
% 73.20/73.60 Inuse: 1281
% 73.20/73.60 Deleted: 2561
% 73.20/73.60 Deletedinuse: 21
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 386048
% 73.20/73.60 Kept: 71130
% 73.20/73.60 Inuse: 1312
% 73.20/73.60 Deleted: 2563
% 73.20/73.60 Deletedinuse: 23
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 397546
% 73.20/73.60 Kept: 73339
% 73.20/73.60 Inuse: 1338
% 73.20/73.60 Deleted: 2563
% 73.20/73.60 Deletedinuse: 23
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 409210
% 73.20/73.60 Kept: 75349
% 73.20/73.60 Inuse: 1365
% 73.20/73.60 Deleted: 2563
% 73.20/73.60 Deletedinuse: 23
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 422700
% 73.20/73.60 Kept: 77369
% 73.20/73.60 Inuse: 1400
% 73.20/73.60 Deleted: 2564
% 73.20/73.60 Deletedinuse: 24
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 433667
% 73.20/73.60 Kept: 79387
% 73.20/73.60 Inuse: 1414
% 73.20/73.60 Deleted: 2569
% 73.20/73.60 Deletedinuse: 25
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying clauses:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 452976
% 73.20/73.60 Kept: 82368
% 73.20/73.60 Inuse: 1429
% 73.20/73.60 Deleted: 3435
% 73.20/73.60 Deletedinuse: 25
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 466891
% 73.20/73.60 Kept: 84384
% 73.20/73.60 Inuse: 1463
% 73.20/73.60 Deleted: 3435
% 73.20/73.60 Deletedinuse: 25
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 480031
% 73.20/73.60 Kept: 86631
% 73.20/73.60 Inuse: 1489
% 73.20/73.60 Deleted: 3435
% 73.20/73.60 Deletedinuse: 25
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 492486
% 73.20/73.60 Kept: 88873
% 73.20/73.60 Inuse: 1504
% 73.20/73.60 Deleted: 3435
% 73.20/73.60 Deletedinuse: 25
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 512217
% 73.20/73.60 Kept: 92205
% 73.20/73.60 Inuse: 1519
% 73.20/73.60 Deleted: 3435
% 73.20/73.60 Deletedinuse: 25
% 73.20/73.60
% 73.20/73.60 Resimplifying inuse:
% 73.20/73.60 Done
% 73.20/73.60
% 73.20/73.60
% 73.20/73.60 Intermediate Status:
% 73.20/73.60 Generated: 527044
% 73.20/73.60 Kept: 94756
% 73.20/73.60 Inuse: 1524
% 73.20/73.60 Deleted: 3435
% 73.20/73.60 Deletedinuse: 25
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 554847
% 141.38/141.85 Kept: 97035
% 141.38/141.85 Inuse: 1534
% 141.38/141.85 Deleted: 3435
% 141.38/141.85 Deletedinuse: 25
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 583195
% 141.38/141.85 Kept: 99489
% 141.38/141.85 Inuse: 1544
% 141.38/141.85 Deleted: 3435
% 141.38/141.85 Deletedinuse: 25
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying clauses:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 603600
% 141.38/141.85 Kept: 102326
% 141.38/141.85 Inuse: 1569
% 141.38/141.85 Deleted: 3897
% 141.38/141.85 Deletedinuse: 25
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 622950
% 141.38/141.85 Kept: 104958
% 141.38/141.85 Inuse: 1589
% 141.38/141.85 Deleted: 3897
% 141.38/141.85 Deletedinuse: 25
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 642613
% 141.38/141.85 Kept: 107676
% 141.38/141.85 Inuse: 1614
% 141.38/141.85 Deleted: 3898
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 667093
% 141.38/141.85 Kept: 110625
% 141.38/141.85 Inuse: 1634
% 141.38/141.85 Deleted: 3898
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 687669
% 141.38/141.85 Kept: 112626
% 141.38/141.85 Inuse: 1647
% 141.38/141.85 Deleted: 3898
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 724282
% 141.38/141.85 Kept: 115646
% 141.38/141.85 Inuse: 1664
% 141.38/141.85 Deleted: 3898
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 742441
% 141.38/141.85 Kept: 118670
% 141.38/141.85 Inuse: 1669
% 141.38/141.85 Deleted: 3898
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 762408
% 141.38/141.85 Kept: 120709
% 141.38/141.85 Inuse: 1678
% 141.38/141.85 Deleted: 3898
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying clauses:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 782511
% 141.38/141.85 Kept: 122829
% 141.38/141.85 Inuse: 1689
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 797571
% 141.38/141.85 Kept: 124834
% 141.38/141.85 Inuse: 1714
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 817148
% 141.38/141.85 Kept: 126862
% 141.38/141.85 Inuse: 1738
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 831466
% 141.38/141.85 Kept: 128952
% 141.38/141.85 Inuse: 1759
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 845617
% 141.38/141.85 Kept: 131128
% 141.38/141.85 Inuse: 1779
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 858934
% 141.38/141.85 Kept: 133168
% 141.38/141.85 Inuse: 1799
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 880057
% 141.38/141.85 Kept: 135261
% 141.38/141.85 Inuse: 1829
% 141.38/141.85 Deleted: 4389
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 892726
% 141.38/141.85 Kept: 137283
% 141.38/141.85 Inuse: 1848
% 141.38/141.85 Deleted: 4390
% 141.38/141.85 Deletedinuse: 26
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 900285
% 141.38/141.85 Kept: 139343
% 141.38/141.85 Inuse: 1854
% 141.38/141.85 Deleted: 4418
% 141.38/141.85 Deletedinuse: 30
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 910840
% 141.38/141.85 Kept: 141460
% 141.38/141.85 Inuse: 1873
% 141.38/141.85 Deleted: 4439
% 141.38/141.85 Deletedinuse: 30
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying clauses:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 940304
% 141.38/141.85 Kept: 144186
% 141.38/141.85 Inuse: 1890
% 141.38/141.85 Deleted: 5367
% 141.38/141.85 Deletedinuse: 36
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 966920
% 141.38/141.85 Kept: 147545
% 141.38/141.85 Inuse: 1905
% 141.38/141.85 Deleted: 5367
% 141.38/141.85 Deletedinuse: 36
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 995819
% 141.38/141.85 Kept: 149563
% 141.38/141.85 Inuse: 1937
% 141.38/141.85 Deleted: 5367
% 141.38/141.85 Deletedinuse: 36
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85 Resimplifying inuse:
% 141.38/141.85 Done
% 141.38/141.85
% 141.38/141.85
% 141.38/141.85 Intermediate Status:
% 141.38/141.85 Generated: 1008460
% 141.38/141.85 Kept: 151578
% 141.38/141.85 Inuse: 1954
% 242.46/242.98 Deleted: 5367
% 242.46/242.98 Deletedinuse: 36
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1038915
% 242.46/242.98 Kept: 154088
% 242.46/242.98 Inuse: 1970
% 242.46/242.98 Deleted: 5367
% 242.46/242.98 Deletedinuse: 36
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1051314
% 242.46/242.98 Kept: 156093
% 242.46/242.98 Inuse: 1981
% 242.46/242.98 Deleted: 5368
% 242.46/242.98 Deletedinuse: 37
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1084675
% 242.46/242.98 Kept: 159419
% 242.46/242.98 Inuse: 2010
% 242.46/242.98 Deleted: 5369
% 242.46/242.98 Deletedinuse: 38
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1096786
% 242.46/242.98 Kept: 161719
% 242.46/242.98 Inuse: 2029
% 242.46/242.98 Deleted: 5370
% 242.46/242.98 Deletedinuse: 38
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying clauses:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1118999
% 242.46/242.98 Kept: 165290
% 242.46/242.98 Inuse: 2054
% 242.46/242.98 Deleted: 5688
% 242.46/242.98 Deletedinuse: 38
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1138449
% 242.46/242.98 Kept: 167617
% 242.46/242.98 Inuse: 2084
% 242.46/242.98 Deleted: 5689
% 242.46/242.98 Deletedinuse: 39
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1153913
% 242.46/242.98 Kept: 169766
% 242.46/242.98 Inuse: 2104
% 242.46/242.98 Deleted: 5690
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1169864
% 242.46/242.98 Kept: 171900
% 242.46/242.98 Inuse: 2124
% 242.46/242.98 Deleted: 5690
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1185503
% 242.46/242.98 Kept: 174316
% 242.46/242.98 Inuse: 2144
% 242.46/242.98 Deleted: 5690
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1201124
% 242.46/242.98 Kept: 176640
% 242.46/242.98 Inuse: 2164
% 242.46/242.98 Deleted: 5690
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1229357
% 242.46/242.98 Kept: 178726
% 242.46/242.98 Inuse: 2179
% 242.46/242.98 Deleted: 5690
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1239622
% 242.46/242.98 Kept: 181135
% 242.46/242.98 Inuse: 2194
% 242.46/242.98 Deleted: 5690
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying clauses:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1253036
% 242.46/242.98 Kept: 183159
% 242.46/242.98 Inuse: 2218
% 242.46/242.98 Deleted: 6359
% 242.46/242.98 Deletedinuse: 40
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1265556
% 242.46/242.98 Kept: 185471
% 242.46/242.98 Inuse: 2229
% 242.46/242.98 Deleted: 6360
% 242.46/242.98 Deletedinuse: 41
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1292871
% 242.46/242.98 Kept: 187506
% 242.46/242.98 Inuse: 2242
% 242.46/242.98 Deleted: 6360
% 242.46/242.98 Deletedinuse: 41
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1306617
% 242.46/242.98 Kept: 189537
% 242.46/242.98 Inuse: 2263
% 242.46/242.98 Deleted: 6360
% 242.46/242.98 Deletedinuse: 41
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1319197
% 242.46/242.98 Kept: 191623
% 242.46/242.98 Inuse: 2279
% 242.46/242.98 Deleted: 6360
% 242.46/242.98 Deletedinuse: 41
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1342587
% 242.46/242.98 Kept: 195262
% 242.46/242.98 Inuse: 2301
% 242.46/242.98 Deleted: 6360
% 242.46/242.98 Deletedinuse: 41
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1361729
% 242.46/242.98 Kept: 197596
% 242.46/242.98 Inuse: 2329
% 242.46/242.98 Deleted: 6361
% 242.46/242.98 Deletedinuse: 42
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1379066
% 242.46/242.98 Kept: 200425
% 242.46/242.98 Inuse: 2340
% 242.46/242.98 Deleted: 6362
% 242.46/242.98 Deletedinuse: 42
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying clauses:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1401122
% 242.46/242.98 Kept: 203846
% 242.46/242.98 Inuse: 2358
% 242.46/242.98 Deleted: 7201
% 242.46/242.98 Deletedinuse: 42
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1414529
% 242.46/242.98 Kept: 206001
% 242.46/242.98 Inuse: 2378
% 242.46/242.98 Deleted: 7201
% 242.46/242.98 Deletedinuse: 42
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate Status:
% 242.46/242.98 Generated: 1430487
% 242.46/242.98 Kept: 209843
% 242.46/242.98 Inuse: 2384
% 242.46/242.98 Deleted: 7201
% 242.46/242.98 Deletedinuse: 42
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98 Resimplifying inuse:
% 242.46/242.98 Done
% 242.46/242.98
% 242.46/242.98
% 242.46/242.98 Intermediate StatuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------