TSTP Solution File: LCL850-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:58:47 EDT 2022
% Result : Timeout 292.00s 292.56s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sun Jul 3 14:38:25 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.94/1.35 *** allocated 10000 integers for termspace/termends
% 0.94/1.35 *** allocated 10000 integers for clauses
% 0.94/1.35 *** allocated 10000 integers for justifications
% 0.94/1.35 *** allocated 15000 integers for termspace/termends
% 0.94/1.35 *** allocated 22500 integers for termspace/termends
% 0.94/1.35 Bliksem 1.12
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35 Automatic Strategy Selection
% 0.94/1.35
% 0.94/1.35 Clauses:
% 0.94/1.35 [
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.94/1.35 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.35 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 T, X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.94/1.35 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ),
% 0.94/1.35 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.94/1.35 ), =( X, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.94/1.35 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.94/1.35 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.94/1.35 hAPP( Z, T ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 Z, X ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, Z, X ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, Z, X ) ) ) ],
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.94/1.35 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.94/1.35 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 Y, 'tc_nat' ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , X, 'tc_nat' ), Y, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.94/1.35 , T, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 Y, 'tc_nat' ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 0.94/1.35 , T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U, 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.94/1.35 T, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.35 ), Z ), Y ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.94/1.35 hBOOL( hAPP( X, Z ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.94/1.35 hBOOL( hAPP( X, Z ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Z, T, 'tc_nat' ), X ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.94/1.35 'v_sko__Nat__Xnat__Xinducts__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.35 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.94/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.94/1.35 Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.94/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.94/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.94/1.35 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'v_ta____' ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.35 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.94/1.35 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.94/1.35 , Y ), Z ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.94/1.35 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.94/1.35 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.94/1.35 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.94/1.35 'v_sko__Nat__Xnat__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.94/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.94/1.35 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.94/1.35 ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.94/1.35 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 Y ) ) ) ],
% 0.94/1.35 [ =( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 'c_Suc'( X
% 0.94/1.35 ), 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z
% 0.94/1.35 , X ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 0.94/1.35 , Y, 'tc_nat' ), Z, 'tc_nat' ) ), T ), U, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), T ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 0.94/1.35 , T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U, 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.94/1.35 T, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.94/1.35 , Z, 'tc_nat' ), T, 'tc_nat' ) ), U ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), X ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , X, 'tc_nat' ), Y, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.94/1.35 , T, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ) ) ), =( T, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ) ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ) ),
% 0.94/1.35 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.94/1.35 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.94/1.35 [ =( 'c_Nat_Onat_Onat__rec'( X, Y, 'c_Suc'( Z ), T ), hAPP( hAPP( Y, Z )
% 0.94/1.35 , 'c_Nat_Onat_Onat__rec'( X, Y, Z, T ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.94/1.35 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.94/1.35 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.94/1.35 'v_sko__List__Xupt__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y ) ) ), =( X,
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.94/1.35 'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, Z, X ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ), X ), ~( 'c_lessequals'( T
% 0.94/1.35 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.35 , X ) ), W ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.94/1.35 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.94/1.35 , X ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.94/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ) ), W ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, Z, X ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ), X ), ~( 'c_lessequals'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ) ), U ), W, X ), ~(
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), U ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.35 ), W ), X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.94/1.35 , X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.94/1.35 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.94/1.35 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 X, T, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'( X ) ) ) ) ), ~( hBOOL(
% 0.94/1.35 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.94/1.35 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, Z, X ), X ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 0.94/1.35 ~( hBOOL( hAPP( X, T ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat' ) ),
% 0.94/1.35 ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Z ), T ), X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1'(
% 0.94/1.35 X, Y ), Y, 'tc_nat' ), ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.94/1.35 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.94/1.35 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 Z, 'tc_nat' ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ) ), T ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), Z, X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.94/1.35 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), T, X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.94/1.35 , X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 0.94/1.35 ), W ), X ), ~( 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ),
% 0.94/1.35 U, X ) ), W ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.94/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ) ), W ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 0.94/1.35 ), W ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.94/1.35 , X ) ), U ), W, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.94/1.35 ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), W ), X ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.35 Y, 'tc_nat' ) ), U ) ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ), =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), T ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), T ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Z ), T ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Y, T, X ), X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.94/1.35 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.35 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.35 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ),
% 0.94/1.35 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.94/1.35 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.94/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.94/1.35 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , T, X ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.35 , T, X ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.94/1.35 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.94/1.35 X ), X ), Y ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.94/1.35 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.94/1.35 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.94/1.35 Y ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.94/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.94/1.35 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.94/1.35 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.94/1.35 , X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.94/1.35 , X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.94/1.35 Z, Y, X ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.35 Y, 'tc_nat' ) ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), T ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), U ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.94/1.35 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.94/1.35 , Y ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X )
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ), X ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 'c_Suc'( T ), 't_a'
% 0.94/1.35 ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 'c_Suc'( T ), 't_a'
% 0.94/1.35 ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.94/1.35 , Z, X ), X ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.35 Y, 'tc_nat' ) ), U ) ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z,
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ), U ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ) ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 Z, 'tc_nat' ) ), T ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.94/1.35 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), X ), Y,
% 0.94/1.35 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.94/1.35 , 'tc_Lambda_OdB' ) ), ~( 'c_InductTermi_OIT'( Y ) ), ~(
% 0.94/1.35 'c_InductTermi_OIT'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.94/1.35 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.94/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.94/1.35 'c_InductTermi_OIT'( X ) ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.94/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ) ) ) ],
% 0.94/1.35 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_Suc'( Z ), T ), hAPP( Y, Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'v_s____' ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Z, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ) ), T ), U, 'tc_nat' ), ~( 'c_lessequals'( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), T ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 Z, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.35 Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.94/1.35 'tc_nat' ), T, 'tc_nat' ) ), U ), 'tc_nat' ), ~( 'c_lessequals'( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 T, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.35 Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ) ), U ),
% 0.94/1.35 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.35 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ),
% 0.94/1.35 =( Y, T ), =( X, Z ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ),
% 0.94/1.35 =( Y, T ), =( X, Z ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.94/1.35 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.94/1.35 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.94/1.35 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( 'c_lessequals'( Z
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.94/1.35 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.94/1.35 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.94/1.35 , Y ) ],
% 0.94/1.35 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.94/1.35 hAPP( X, Z ) ) ],
% 0.94/1.35 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.94/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.94/1.35 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Y, X ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.94/1.35 ), Y ), X ), 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.94/1.35 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.94/1.35 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.94/1.35 X ) ), Y ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , X ), Y ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Y ), X ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , X ), Y ), 'tc_nat' ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ),
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.35 ), =( Z, Y ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.94/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.94/1.35 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.94/1.35 , 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.94/1.35 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.94/1.35 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.94/1.35 , Z, U, W ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.94/1.35 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.94/1.35 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.94/1.35 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.94/1.35 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.94/1.35 , X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ), T ),
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.94/1.35 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), Z, 'tc_nat' ), 'tc_nat'
% 0.94/1.35 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.94/1.35 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.94/1.35 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.94/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.94/1.35 , V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 T, X, U, W, Y, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 T, X, U, Y, W, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.94/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.94/1.35 , V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 X, T, U, Y, W, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.94/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.94/1.35 , V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.94/1.35 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.94/1.35 , V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.94/1.35 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.94/1.35 W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.94/1.35 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.94/1.35 W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.94/1.35 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.94/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.94/1.35 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.94/1.35 W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.94/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.94/1.35 , V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.94/1.35 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.94/1.35 W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.94/1.35 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.94/1.35 , V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.94/1.35 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 0.94/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.94/1.35 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 0.94/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.94/1.35 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.94/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 T, X, U, W, Z, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 T, X, U, W, Y, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 T, X, U, Z, W, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 T, X, U, Y, W, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.94/1.35 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 X, T, U, Z, W, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.94/1.35 X, T, U, Y, W, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 0.94/1.35 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 0.94/1.35 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.94/1.35 , V0, U, V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 0.94/1.35 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.94/1.35 , V0, U, V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.94/1.35 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 0.94/1.35 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.94/1.35 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.94/1.35 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.94/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.94/1.35 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.94/1.35 'c_InductTermi_OIT'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.94/1.35 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.94/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.94/1.35 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.94/1.35 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.94/1.35 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.94/1.35 Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.94/1.35 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.94/1.35 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.94/1.35 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.94/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.94/1.35 X ), X ), X ) ],
% 0.94/1.35 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.94/1.35 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.94/1.35 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.94/1.35 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_nat_Onat__size'( X ) ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.94/1.35 X ), X ), Y ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.94/1.35 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.94/1.35 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.94/1.35 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 T, X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.94/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.94/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.94/1.35 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Z ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.94/1.35 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.94/1.35 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.94/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.94/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 0.94/1.35 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.35 X, 'tc_nat' ) ), X ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( 'c_lessequals'(
% 0.94/1.35 X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 0.94/1.35 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0,
% 0.94/1.35 V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 0.94/1.35 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0,
% 0.94/1.35 V1 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.94/1.35 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.94/1.35 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.35 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.94/1.35 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.35 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ) ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ) ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.94/1.35 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.94/1.35 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.94/1.35 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.94/1.35 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.35 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.94/1.35 , Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.94/1.35 , 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.35 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.35 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Otimes__class_Otimes'( Z, U
% 0.94/1.35 , X ) ) ) ), =( T, U ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, T, 'tc_nat' ) ) ) ), =( Z, T ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.94/1.35 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.94/1.35 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.94/1.35 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , Z ), Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.94/1.35 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.94/1.35 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.35 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.94/1.35 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ),
% 0.94/1.35 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.94/1.35 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), T ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( 'c_Divides_Odiv__class_Odiv'( Y
% 0.94/1.35 , X, 'tc_nat' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.94/1.35 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.94/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.94/1.35 , X ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.94/1.35 , X ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), X ) ) ],
% 0.94/1.35 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.94/1.35 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.94/1.35 [ =( 'c_Divides_Odiv__class_Odiv'( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), Z ), Z, X ), Y ) ],
% 0.94/1.35 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.94/1.35 hAPP( X, Z ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.94/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.94/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.94/1.35 , 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.94/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.94/1.35 , 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( X, 'c_Type_Otype_OFun'( 'c_Type_Osko__Type__Xtyping__elims__3__1'(
% 0.94/1.35 X, Y, Z ), 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.94/1.35 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.94/1.35 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.94/1.35 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.35 ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.35 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.94/1.35 Y ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 0.94/1.35 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.94/1.35 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.94/1.35 , X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.35 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.94/1.35 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.94/1.35 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.94/1.35 Z, U ), W ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.94/1.35 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.94/1.35 Z, U ), W ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.94/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.94/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.94/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.94/1.35 Z ) ) ) ],
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.35 , 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.94/1.35 , 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 0.94/1.35 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.35 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1'( X, Z ), 'tc_nat' )
% 0.94/1.35 ), ~( hBOOL( hAPP( X, Z ) ) ), hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.94/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.94/1.35 Z ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Y, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.35 , T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.35 , Y, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.94/1.35 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.94/1.35 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.94/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.94/1.35 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.94/1.35 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.94/1.35 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.94/1.35 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.94/1.35 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.94/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.94/1.35 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.94/1.35 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.94/1.35 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.94/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.35 X, 'tc_nat' ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.94/1.35 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.94/1.35 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.94/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.94/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.35 T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.35 X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.35 T, X ), X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.35 X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.35 T, X ), X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.35 X ), T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Z, T, X ) ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.94/1.35 , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Z, T, X ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.94/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP( hAPP(
% 0.94/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.35 Y, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.35 X ), Z ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.35 Y, T, X ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.94/1.35 X ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 0.94/1.35 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.94/1.35 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Nat_Onat_Onat__rec'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), Z ), X ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1'(
% 0.94/1.35 X, Y ) ) ), ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.94/1.35 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'( X ) ) ), ~( hBOOL( hAPP( X
% 0.94/1.35 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), Z ), X ) ],
% 0.94/1.35 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), Z ), X ) ],
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omin'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.94/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.94/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.94/1.35 'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 't_a' ) ) ) ), hBOOL( hAPP( X, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinducts__1'(
% 0.94/1.35 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Nitpick_Onat__gcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.94/1.35 , X ) ],
% 0.94/1.35 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'(
% 0.94/1.35 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), 'tc_nat' ) ) ],
% 0.94/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'(
% 0.94/1.35 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.35 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL(
% 0.94/1.35 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.94/1.35 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.94/1.35 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.94/1.35 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.94/1.35 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.35 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.94/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 0.94/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.94/1.35 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.94/1.35 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.94/1.35 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.94/1.35 hAPP( X, T ) ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.94/1.35 Z ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.94/1.35 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.94/1.35 hAPP( X, T ) ) ],
% 0.94/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.94/1.35 Z ) ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.94/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.94/1.35 'tc_Lambda_OdB' ), X ) ) ],
% 0.94/1.35 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~(
% 0.94/1.35 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.94/1.35 [ 'c_Type_Otyping'( X, Y, 'c_Type_Otype_OFun'(
% 0.94/1.35 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ), Z ) ), ~(
% 0.94/1.35 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OAtom'( Z ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ),
% 0.94/1.35 'c_Type_Otype_OFun'( Y, Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X, Z
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ),
% 0.94/1.35 'c_Type_Otype_OFun'( Y, Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OFun'( Z, T ), U ),
% 0.94/1.35 hAPP( hAPP( hAPP( hAPP( Y, Z ), T ), 'c_Type_Otype_Otype__rec'( X, Y, Z,
% 0.94/1.35 U ) ), 'c_Type_Otype_Otype__rec'( X, Y, T, U ) ) ) ],
% 0.94/1.35 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OFun'( Z, T ), U )
% 0.94/1.35 , hAPP( hAPP( Y, Z ), T ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.94/1.35 'c_Type_Otype_OFun'( T, U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( Z
% 0.94/1.35 , T ), U ) ) ) ],
% 0.94/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.94/1.35 'c_Type_Otype_OFun'( T, U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( Z
% 0.94/1.35 , T ), U ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OFun'( Y, Z ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'c_Type_Osko__Type__Xabs__typeE__1__1'( X, Y ),
% 0.94/1.35 'tc_Type_Otype' ), Y, 'c_Type_Osko__Type__Xabs__typeE__1__2'( X, Y ) ),
% 0.94/1.35 ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ) ) ],
% 0.94/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.35 'tc_nat' ), 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ),
% 0.94/1.35 'tc_Type_Otype' ), Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z
% 0.94/1.35 ) ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.94/1.35 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.94/1.35 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, Y, Z ) ), ~(
% 0.94/1.35 'c_Type_Otyping'( T, Y, U ) ), ~( 'c_InductTermi_OIT'( Y ) ), ~(
% 0.94/1.35 'c_Type_Otyping'( 'c_Type_Oshift'( T, Z, U, 'tc_Type_Otype' ), X, W ) ),
% 0.94/1.35 ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.94/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.35 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.94/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.94/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.36 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.94/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.94/1.36 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.94/1.36 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.94/1.36 'c_Suc'( Y ), Z, T ) ) ],
% 0.94/1.36 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.94/1.36 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.94/1.36 'c_Type_Otype_OFun'( U, T ) ) ) ],
% 0.94/1.36 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.94/1.36 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.94/1.36 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.94/1.36 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.94/1.36 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.94/1.36 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), 'c_Type_Otype_OFun'( Z
% 0.94/1.36 , T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ 'c_Type_Otyping'( 'v_ea____', 'v_ta____', 'v_Ta____' ) ],
% 0.94/1.36 [ 'c_Type_Otyping'( 'v_ea____', 'v_s____', 'c_Type_Otype_OFun'(
% 0.94/1.36 'v_Ta____', 'v_U____' ) ) ],
% 0.94/1.36 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.94/1.36 =( X, Z ) ],
% 0.94/1.36 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.94/1.36 =( Y, T ) ],
% 0.94/1.36 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.94/1.36 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.94/1.36 , Z ) ) ],
% 0.94/1.36 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.94/1.36 [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea____',
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Type_Otype_OFun'( 'v_Ta____',
% 0.94/1.36 'v_U____' ), 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Type_Otype_OFun'( 'v_Ta____'
% 0.94/1.36 , 'v_U____' ) ) ) ],
% 0.94/1.36 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.36 'class_Orderings_Opreorder'( Y ) ) ],
% 0.94/1.36 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.36 'class_Orderings_Oorder'( Y ) ) ],
% 0.94/1.36 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.94/1.36 Y ) ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.94/1.36 ],
% 0.94/1.36 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.94/1.36 ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.94/1.36 ],
% 0.94/1.36 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.94/1.36 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.94/1.36 [ 'c_fequal'( X, X, Y ) ],
% 0.94/1.36 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.94/1.36 ] .
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36 percentage equality = 0.257911, percentage horn = 0.889734
% 0.94/1.36 This is a problem with some equality
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36 Options Used:
% 0.94/1.36
% 0.94/1.36 useres = 1
% 0.94/1.36 useparamod = 1
% 0.94/1.36 useeqrefl = 1
% 0.94/1.36 useeqfact = 1
% 0.94/1.36 usefactor = 1
% 0.94/1.36 usesimpsplitting = 0
% 0.94/1.36 usesimpdemod = 5
% 0.94/1.36 usesimpres = 3
% 0.94/1.36
% 0.94/1.36 resimpinuse = 1000
% 0.94/1.36 resimpclauses = 20000
% 0.94/1.36 substype = eqrewr
% 0.94/1.36 backwardsubs = 1
% 0.94/1.36 selectoldest = 5
% 0.94/1.36
% 0.94/1.36 litorderings [0] = split
% 0.94/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.36
% 0.94/1.36 termordering = kbo
% 0.94/1.36
% 0.94/1.36 litapriori = 0
% 0.94/1.36 termapriori = 1
% 0.94/1.36 litaposteriori = 0
% 0.94/1.36 termaposteriori = 0
% 0.94/1.36 demodaposteriori = 0
% 0.94/1.36 ordereqreflfact = 0
% 0.94/1.36
% 0.94/1.36 litselect = negord
% 0.94/1.36
% 0.94/1.36 maxweight = 15
% 0.94/1.36 maxdepth = 30000
% 0.94/1.36 maxlength = 115
% 0.94/1.36 maxnrvars = 195
% 0.94/1.36 excuselevel = 1
% 0.94/1.36 increasemaxweight = 1
% 0.94/1.36
% 0.94/1.36 maxselected = 10000000
% 0.94/1.36 maxnrclauses = 10000000
% 0.94/1.36
% 0.94/1.36 showgenerated = 0
% 0.94/1.36 showkept = 0
% 0.94/1.36 showselected = 0
% 0.94/1.36 showdeleted = 0
% 0.94/1.36 showresimp = 1
% 0.94/1.36 showstatus = 2000
% 0.94/1.36
% 0.94/1.36 prologoutput = 1
% 0.94/1.36 nrgoals = 5000000
% 0.94/1.36 totalproof = 1
% 0.94/1.36
% 0.94/1.36 Symbols occurring in the translation:
% 0.94/1.36
% 0.94/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.36 . [1, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.94/1.36 ! [4, 1] (w:0, o:91, a:1, s:1, b:0),
% 0.94/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.36 'class_Ring__and__Field_Oring' [40, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus' [41, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes' [44, 3] (w:1, o:201, a:1, s:1, b:0),
% 0.94/1.36 hAPP [45, 2] (w:1, o:190, a:1, s:1, b:0),
% 0.94/1.36 'c_HOL_Ominus__class_Ominus' [48, 3] (w:1, o:202, a:1, s:1, b:0),
% 0.94/1.36 'class_Ring__and__Field_Oordered__semidom' [49, 1] (w:1, o:101, a:1
% 0.94/1.36 , s:1, b:0),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero' [50, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.94/1.36 'c_Power_Opower__class_Opower' [52, 3] (w:1, o:205, a:1, s:1, b:0),
% 0.94/1.36 'c_lessequals' [53, 3] (w:1, o:206, a:1, s:1, b:0),
% 0.94/1.36 'tc_nat' [55, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.94/1.36 'class_OrderedGroup_Opordered__ab__group__add' [56, 1] (w:1, o:104
% 0.94/1.36 , a:1, s:1, b:0),
% 0.94/1.36 'c_Orderings_Oord__class_Omin' [59, 3] (w:1, o:203, a:1, s:1, b:0),
% 0.94/1.36 'class_Orderings_Olinorder' [61, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.94/1.36 'c_Orderings_Oord__class_Omax' [62, 3] (w:1, o:204, a:1, s:1, b:0),
% 0.94/1.36 'c_HOL_Oord__class_Oless' [63, 3] (w:1, o:207, a:1, s:1, b:0),
% 0.94/1.36 'c_Divides_Odiv__class_Odiv' [64, 3] (w:1, o:208, a:1, s:1, b:0),
% 0.94/1.36 'c_Suc' [67, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.94/1.36 'c_List_Oreplicate' [68, 3] (w:1, o:209, a:1, s:1, b:0),
% 0.94/1.36 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [69, 1]
% 0.94/1.36 (w:1, o:108, a:1, s:1, b:0),
% 0.94/1.36 'class_OrderedGroup_Ocomm__monoid__add' [70, 1] (w:1, o:109, a:1, s:1
% 0.98/1.69 , b:0),
% 0.98/1.69 'c_Nat_Osemiring__1__class_Oof__nat' [71, 2] (w:1, o:191, a:1, s:1
% 0.98/1.69 , b:0),
% 0.98/1.69 'c_Lambda_Osubst' [75, 3] (w:1, o:210, a:1, s:1, b:0),
% 0.98/1.69 'c_Lambda_Obeta' [77, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.98/1.69 'c_Lambda_OdB_OAbs' [82, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.98/1.69 'c_Lambda_OdB_OdB__case' [83, 5] (w:1, o:223, a:1, s:1, b:0),
% 0.98/1.69 'class_Ring__and__Field_Oidom' [85, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.98/1.69 'class_Int_Onumber__ring' [86, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.98/1.69 'class_OrderedGroup_Olordered__ab__group__add' [87, 1] (w:1, o:113
% 0.98/1.69 , a:1, s:1, b:0),
% 0.98/1.69 'c_Lambda_OdB_OVar' [88, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.98/1.69 'class_OrderedGroup_Ogroup__add' [90, 1] (w:1, o:115, a:1, s:1, b:0)
% 0.98/1.69 ,
% 0.98/1.69 hBOOL [92, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.98/1.69 'class_Ring__and__Field_Ocomm__semiring__1' [93, 1] (w:1, o:117, a:1
% 0.98/1.69 , s:1, b:0),
% 0.98/1.69 'v_sko__Nat__Xnat__Xinducts__1' [97, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.98/1.69
% 0.98/1.69 'class_OrderedGroup_Omonoid__mult' [98, 1] (w:1, o:119, a:1, s:1, b:0
% 0.98/1.69 ),
% 0.98/1.69 'class_Power_Opower' [99, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.98/1.69 'class_OrderedGroup_Opordered__ab__semigroup__add' [101, 1] (w:1, o:
% 0.98/1.69 120, a:1, s:1, b:0),
% 0.98/1.69 'class_OrderedGroup_Opordered__comm__monoid__add' [102, 1] (w:1, o:
% 0.98/1.69 121, a:1, s:1, b:0),
% 0.98/1.69 'c_Lambda_OdB_OApp' [103, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.98/1.69 'v_ta____' [106, 0] (w:1, o:71, a:1, s:1, b:0),
% 0.98/1.69 'c_InductTermi_OIT' [107, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.98/1.69 'class_Orderings_Opreorder' [108, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.98/1.69 'class_Orderings_Oorder' [109, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.98/1.69 'c_Type_Osko__Type__Xtyping__elims__2__1' [111, 4] (w:1, o:217, a:1
% 0.98/1.69 , s:1, b:0),
% 0.98/1.69 'c_Type_Otyping' [112, 3] (w:1, o:213, a:1, s:1, b:0),
% 0.98/1.69 'v_sko__Nat__Xnat__Xinduct__1' [113, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.98/1.69
% 0.98/1.69 'class_Ring__and__Field_Oordered__semiring__strict' [114, 1] (w:1, o:
% 0.98/1.69 138, a:1, s:1, b:0),
% 0.98/1.69 'class_Ring__and__Field_Osemiring__0' [115, 1] (w:1, o:142, a:1, s:1
% 0.98/1.69 , b:0),
% 0.98/1.69 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1' [116, 1] (w:1
% 0.98/1.69 , o:143, a:1, s:1, b:0),
% 0.98/1.69 'class_Orderings_Obot' [117, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.98/1.69 'c_Orderings_Obot__class_Obot' [118, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.98/1.69
% 0.98/1.69 'c_Nat_Onat_Onat__rec' [119, 4] (w:1, o:218, a:1, s:1, b:0),
% 0.98/1.69 'c_Groebner__Basis_Ogb__semiring' [125, 6] (w:1, o:226, a:1, s:1, b:0
% 0.98/1.69 ),
% 0.98/1.69 'v_sko__List__Xupt__Xinduct__1' [126, 1] (w:1, o:145, a:1, s:1, b:0)
% 0.98/1.69 ,
% 0.98/1.69 'c_Type_Otype_OAtom' [127, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.98/1.69 'v_sko__List__Xreplicate__Xinduct__1' [129, 1] (w:1, o:148, a:1, s:1
% 0.98/1.69 , b:0),
% 0.98/1.69 'class_Ring__and__Field_Opordered__ring' [130, 1] (w:1, o:152, a:1
% 0.98/1.69 , s:1, b:0),
% 0.98/1.69 'c_Lambda_Olift' [131, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.98/1.69 'class_Ring__and__Field_Oordered__ring__strict' [132, 1] (w:1, o:100
% 0.98/1.69 , a:1, s:1, b:0),
% 0.98/1.69 'class_OrderedGroup_Osemigroup__add' [133, 1] (w:1, o:125, a:1, s:1
% 0.98/1.69 , b:0),
% 0.98/1.69 'c_List_Ofoldl' [135, 5] (w:1, o:224, a:1, s:1, b:0),
% 0.98/1.69 'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1' [136, 1] (w:1, o:153
% 0.98/1.69 , a:1, s:1, b:0),
% 0.98/1.69 'class_Nat_Osemiring__char__0' [137, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.98/1.69
% 0.98/1.69 'class_Ring__and__Field_Oordered__semiring' [138, 1] (w:1, o:149, a:1
% 0.98/1.69 , s:1, b:0),
% 0.98/1.69 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1' [139, 2] (w:1
% 0.98/1.69 , o:194, a:1, s:1, b:0),
% 0.98/1.69 'c_Lambda_Oliftn' [140, 3] (w:1, o:214, a:1, s:1, b:0),
% 0.98/1.69 'class_Divides_Osemiring__div' [141, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.98/1.69
% 0.98/1.69 'class_OrderedGroup_Oab__group__add' [142, 1] (w:1, o:126, a:1, s:1
% 0.98/1.69 , b:0),
% 0.98/1.69 'class_OrderedGroup_Oab__semigroup__add' [143, 1] (w:1, o:127, a:1
% 0.98/1.69 , s:1, b:0),
% 0.98/1.69 'c_Type_Osko__Type__Xtype__induct__1__1' [144, 1] (w:1, o:146, a:1
% 0.98/1.69 , s:1, b:0),
% 0.98/1.69 'tc_Lambda_OdB' [148, 0] (w:1, o:75, a:1, s:1, b:0),
% 0.98/1.69 'c_Nat_Osize__class_Osize' [149, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.98/1.69 'class_Ring__and__Field_Osemiring' [150, 1] (w:1, o:155, a:1, s:1, b:
% 0.98/1.69 0),
% 0.98/1.69 't_a' [152, 0] (w:1, o:76, a:1, s:1, b:0),
% 12.64/13.01 'c_Nat_Onat_Onat__case' [153, 4] (w:1, o:219, a:1, s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Oordered__idom' [154, 1] (w:1, o:150, a:1, s:
% 12.64/13.01 1, b:0),
% 12.64/13.01 'class_OrderedGroup_Omonoid__add' [155, 1] (w:1, o:128, a:1, s:1, b:0
% 12.64/13.01 ),
% 12.64/13.01 'v_s____' [157, 0] (w:1, o:70, a:1, s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Osemiring__1' [159, 1] (w:1, o:156, a:1, s:1
% 12.64/13.01 , b:0),
% 12.64/13.01 'c_Type_Otype_Otype__rec' [165, 4] (w:1, o:221, a:1, s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Opordered__cancel__semiring' [166, 1] (w:1
% 12.64/13.01 , o:157, a:1, s:1, b:0),
% 12.64/13.01 'c_Lambda_OdB_OdB__rec' [167, 5] (w:1, o:225, a:1, s:1, b:0),
% 12.64/13.01 'class_OrderedGroup_Ocancel__ab__semigroup__add' [168, 1] (w:1, o:129
% 12.64/13.01 , a:1, s:1, b:0),
% 12.64/13.01 'class_OrderedGroup_Ocancel__semigroup__add' [169, 1] (w:1, o:130, a:
% 12.64/13.01 1, s:1, b:0),
% 12.64/13.01 'c_Type_Otype_Otype__case' [171, 4] (w:1, o:222, a:1, s:1, b:0),
% 12.64/13.01 'c_List_Odrop' [172, 3] (w:1, o:215, a:1, s:1, b:0),
% 12.64/13.01 'c_nat_Onat__size' [173, 1] (w:1, o:158, a:1, s:1, b:0),
% 12.64/13.01 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [176, 1]
% 12.64/13.01 (w:1, o:131, a:1, s:1, b:0),
% 12.64/13.01 'class_OrderedGroup_Oab__semigroup__idem__mult' [179, 1] (w:1, o:132
% 12.64/13.01 , a:1, s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Oring__1' [180, 1] (w:1, o:139, a:1, s:1, b:0
% 12.64/13.01 ),
% 12.64/13.01 'class_Ring__and__Field_Omult__mono' [181, 1] (w:1, o:159, a:1, s:1
% 12.64/13.01 , b:0),
% 12.64/13.01 'class_Ring__and__Field_Omult__mono1' [182, 1] (w:1, o:160, a:1, s:1
% 12.64/13.01 , b:0),
% 12.64/13.01 'class_Ring__and__Field_Oordered__comm__semiring__strict' [183, 1]
% 12.64/13.01 (w:1, o:151, a:1, s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Opordered__semiring' [184, 1] (w:1, o:161, a:
% 12.64/13.01 1, s:1, b:0),
% 12.64/13.01 'c_Type_Osko__Type__Xtyping__elims__3__1' [185, 3] (w:1, o:211, a:1
% 12.64/13.01 , s:1, b:0),
% 12.64/13.01 'c_Type_Osko__Type__Xtyping__elims__3__2' [186, 3] (w:1, o:212, a:1
% 12.64/13.01 , s:1, b:0),
% 12.64/13.01 'c_Type_Otype_OFun' [187, 2] (w:1, o:198, a:1, s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Ozero__neq__one' [188, 1] (w:1, o:162, a:1
% 12.64/13.01 , s:1, b:0),
% 12.64/13.01 'class_Ring__and__Field_Ono__zero__divisors' [189, 1] (w:1, o:99, a:1
% 12.65/13.01 , s:1, b:0),
% 12.65/13.01 'class_Ring__and__Field_Omult__zero' [190, 1] (w:1, o:98, a:1, s:1
% 12.65/13.01 , b:0),
% 12.65/13.01 'class_Ring__and__Field_Oring__1__no__zero__divisors' [191, 1] (w:1
% 12.65/13.01 , o:140, a:1, s:1, b:0),
% 12.65/13.01 'class_Ring__and__Field_Oring__no__zero__divisors' [192, 1] (w:1, o:
% 12.65/13.01 141, a:1, s:1, b:0),
% 12.65/13.01 'class_OrderedGroup_Ocomm__monoid__mult' [194, 1] (w:1, o:133, a:1
% 12.65/13.01 , s:1, b:0),
% 12.65/13.01 'c_Lambda_OdB_OdB__size' [195, 1] (w:1, o:163, a:1, s:1, b:0),
% 12.65/13.01 'class_OrderedGroup_Oab__semigroup__mult' [196, 1] (w:1, o:134, a:1
% 12.65/13.01 , s:1, b:0),
% 12.65/13.01 'class_Ring__and__Field_Ocomm__semiring' [197, 1] (w:1, o:164, a:1
% 12.65/13.01 , s:1, b:0),
% 12.65/13.01 'c_Nitpick_Onat__gcd' [199, 2] (w:1, o:199, a:1, s:1, b:0),
% 12.65/13.01 'c_String_Ochar_Ochar__size' [200, 1] (w:1, o:106, a:1, s:1, b:0),
% 12.65/13.01 'tc_String_Ochar' [201, 0] (w:1, o:78, a:1, s:1, b:0),
% 12.65/13.01 'c_Type_Osko__Type__Xabs__typeE__1__1' [212, 2] (w:1, o:196, a:1, s:1
% 12.65/13.01 , b:0),
% 12.65/13.01 'tc_Type_Otype' [213, 0] (w:1, o:83, a:1, s:1, b:0),
% 12.65/13.01 'c_Type_Oshift' [214, 4] (w:1, o:220, a:1, s:1, b:0),
% 12.65/13.01 'c_Type_Osko__Type__Xabs__typeE__1__2' [215, 2] (w:1, o:197, a:1, s:1
% 12.65/13.01 , b:0),
% 12.65/13.01 'v_ea____' [218, 0] (w:1, o:84, a:1, s:1, b:0),
% 12.65/13.01 'v_Ta____' [219, 0] (w:1, o:85, a:1, s:1, b:0),
% 12.65/13.01 'v_U____' [220, 0] (w:1, o:86, a:1, s:1, b:0),
% 12.65/13.01 'tc_fun' [223, 2] (w:1, o:200, a:1, s:1, b:0),
% 12.65/13.01 'c_fequal' [224, 3] (w:1, o:216, a:1, s:1, b:0).
% 12.65/13.01
% 12.65/13.01
% 12.65/13.01 Starting Search:
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01
% 12.65/13.01 Intermediate Status:
% 12.65/13.01 Generated: 4480
% 12.65/13.01 Kept: 2002
% 12.65/13.01 Inuse: 151
% 12.65/13.01 Deleted: 9
% 12.65/13.01 Deletedinuse: 0
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01
% 12.65/13.01 Intermediate Status:
% 12.65/13.01 Generated: 9260
% 12.65/13.01 Kept: 4004
% 12.65/13.01 Inuse: 271
% 12.65/13.01 Deleted: 9
% 12.65/13.01 Deletedinuse: 0
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01
% 12.65/13.01 Intermediate Status:
% 12.65/13.01 Generated: 15738
% 12.65/13.01 Kept: 6005
% 12.65/13.01 Inuse: 342
% 12.65/13.01 Deleted: 10
% 12.65/13.01 Deletedinuse: 0
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01 Resimplifying inuse:
% 12.65/13.01 Done
% 12.65/13.01
% 12.65/13.01
% 12.65/13.01 Intermediate Status:
% 12.65/13.01 Generated: 23193
% 40.99/41.43 Kept: 8391
% 40.99/41.43 Inuse: 406
% 40.99/41.43 Deleted: 12
% 40.99/41.43 Deletedinuse: 2
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 28663
% 40.99/41.43 Kept: 10395
% 40.99/41.43 Inuse: 466
% 40.99/41.43 Deleted: 16
% 40.99/41.43 Deletedinuse: 6
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 34983
% 40.99/41.43 Kept: 12493
% 40.99/41.43 Inuse: 501
% 40.99/41.43 Deleted: 16
% 40.99/41.43 Deletedinuse: 6
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 42943
% 40.99/41.43 Kept: 14531
% 40.99/41.43 Inuse: 545
% 40.99/41.43 Deleted: 17
% 40.99/41.43 Deletedinuse: 6
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 50567
% 40.99/41.43 Kept: 17085
% 40.99/41.43 Inuse: 614
% 40.99/41.43 Deleted: 19
% 40.99/41.43 Deletedinuse: 7
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 60481
% 40.99/41.43 Kept: 19412
% 40.99/41.43 Inuse: 634
% 40.99/41.43 Deleted: 20
% 40.99/41.43 Deletedinuse: 8
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying clauses:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 67838
% 40.99/41.43 Kept: 21591
% 40.99/41.43 Inuse: 644
% 40.99/41.43 Deleted: 576
% 40.99/41.43 Deletedinuse: 8
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 75065
% 40.99/41.43 Kept: 23679
% 40.99/41.43 Inuse: 664
% 40.99/41.43 Deleted: 576
% 40.99/41.43 Deletedinuse: 8
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 84093
% 40.99/41.43 Kept: 25716
% 40.99/41.43 Inuse: 719
% 40.99/41.43 Deleted: 577
% 40.99/41.43 Deletedinuse: 9
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 91308
% 40.99/41.43 Kept: 27746
% 40.99/41.43 Inuse: 749
% 40.99/41.43 Deleted: 578
% 40.99/41.43 Deletedinuse: 10
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 99618
% 40.99/41.43 Kept: 29756
% 40.99/41.43 Inuse: 814
% 40.99/41.43 Deleted: 580
% 40.99/41.43 Deletedinuse: 12
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 117769
% 40.99/41.43 Kept: 32217
% 40.99/41.43 Inuse: 849
% 40.99/41.43 Deleted: 580
% 40.99/41.43 Deletedinuse: 12
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 133344
% 40.99/41.43 Kept: 35109
% 40.99/41.43 Inuse: 859
% 40.99/41.43 Deleted: 581
% 40.99/41.43 Deletedinuse: 13
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 142145
% 40.99/41.43 Kept: 37241
% 40.99/41.43 Inuse: 914
% 40.99/41.43 Deleted: 583
% 40.99/41.43 Deletedinuse: 15
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 154423
% 40.99/41.43 Kept: 40282
% 40.99/41.43 Inuse: 954
% 40.99/41.43 Deleted: 584
% 40.99/41.43 Deletedinuse: 16
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying clauses:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 164085
% 40.99/41.43 Kept: 42283
% 40.99/41.43 Inuse: 982
% 40.99/41.43 Deleted: 1210
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 173547
% 40.99/41.43 Kept: 44286
% 40.99/41.43 Inuse: 1015
% 40.99/41.43 Deleted: 1210
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 189880
% 40.99/41.43 Kept: 47087
% 40.99/41.43 Inuse: 1044
% 40.99/41.43 Deleted: 1210
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 204014
% 40.99/41.43 Kept: 49098
% 40.99/41.43 Inuse: 1059
% 40.99/41.43 Deleted: 1210
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 212811
% 40.99/41.43 Kept: 51181
% 40.99/41.43 Inuse: 1108
% 40.99/41.43 Deleted: 1211
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 221427
% 40.99/41.43 Kept: 53191
% 40.99/41.43 Inuse: 1146
% 40.99/41.43 Deleted: 1211
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 233844
% 40.99/41.43 Kept: 56524
% 40.99/41.43 Inuse: 1153
% 40.99/41.43 Deleted: 1211
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 241730
% 40.99/41.43 Kept: 58777
% 40.99/41.43 Inuse: 1173
% 40.99/41.43 Deleted: 1211
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 276829
% 40.99/41.43 Kept: 63043
% 40.99/41.43 Inuse: 1193
% 40.99/41.43 Deleted: 1211
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 40.99/41.43 Resimplifying inuse:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43 Resimplifying clauses:
% 40.99/41.43 Done
% 40.99/41.43
% 40.99/41.43
% 40.99/41.43 Intermediate Status:
% 40.99/41.43 Generated: 308949
% 40.99/41.43 Kept: 66070
% 40.99/41.43 Inuse: 1198
% 40.99/41.43 Deleted: 1402
% 40.99/41.43 Deletedinuse: 21
% 40.99/41.43
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 319450
% 92.91/93.35 Kept: 68326
% 92.91/93.35 Inuse: 1218
% 92.91/93.35 Deleted: 1402
% 92.91/93.35 Deletedinuse: 21
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 336502
% 92.91/93.35 Kept: 73416
% 92.91/93.35 Inuse: 1228
% 92.91/93.35 Deleted: 1402
% 92.91/93.35 Deletedinuse: 21
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 349851
% 92.91/93.35 Kept: 76163
% 92.91/93.35 Inuse: 1253
% 92.91/93.35 Deleted: 1410
% 92.91/93.35 Deletedinuse: 29
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 361163
% 92.91/93.35 Kept: 78171
% 92.91/93.35 Inuse: 1289
% 92.91/93.35 Deleted: 1411
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 377225
% 92.91/93.35 Kept: 80434
% 92.91/93.35 Inuse: 1308
% 92.91/93.35 Deleted: 1411
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 402045
% 92.91/93.35 Kept: 84352
% 92.91/93.35 Inuse: 1318
% 92.91/93.35 Deleted: 1411
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying clauses:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 426551
% 92.91/93.35 Kept: 87476
% 92.91/93.35 Inuse: 1328
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 436515
% 92.91/93.35 Kept: 89589
% 92.91/93.35 Inuse: 1363
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 447299
% 92.91/93.35 Kept: 91592
% 92.91/93.35 Inuse: 1394
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 457278
% 92.91/93.35 Kept: 93678
% 92.91/93.35 Inuse: 1404
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 474075
% 92.91/93.35 Kept: 96538
% 92.91/93.35 Inuse: 1418
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 499979
% 92.91/93.35 Kept: 99388
% 92.91/93.35 Inuse: 1428
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 526013
% 92.91/93.35 Kept: 101996
% 92.91/93.35 Inuse: 1438
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 543653
% 92.91/93.35 Kept: 104349
% 92.91/93.35 Inuse: 1453
% 92.91/93.35 Deleted: 1947
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying clauses:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 554505
% 92.91/93.35 Kept: 106547
% 92.91/93.35 Inuse: 1478
% 92.91/93.35 Deleted: 2199
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 567933
% 92.91/93.35 Kept: 108801
% 92.91/93.35 Inuse: 1503
% 92.91/93.35 Deleted: 2199
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 582461
% 92.91/93.35 Kept: 111108
% 92.91/93.35 Inuse: 1523
% 92.91/93.35 Deleted: 2199
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 592465
% 92.91/93.35 Kept: 113144
% 92.91/93.35 Inuse: 1543
% 92.91/93.35 Deleted: 2199
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 600193
% 92.91/93.35 Kept: 115237
% 92.91/93.35 Inuse: 1553
% 92.91/93.35 Deleted: 2199
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 618825
% 92.91/93.35 Kept: 117723
% 92.91/93.35 Inuse: 1563
% 92.91/93.35 Deleted: 2199
% 92.91/93.35 Deletedinuse: 30
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 634996
% 92.91/93.35 Kept: 120788
% 92.91/93.35 Inuse: 1588
% 92.91/93.35 Deleted: 2200
% 92.91/93.35 Deletedinuse: 31
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 648865
% 92.91/93.35 Kept: 122934
% 92.91/93.35 Inuse: 1603
% 92.91/93.35 Deleted: 2200
% 92.91/93.35 Deletedinuse: 31
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 670905
% 92.91/93.35 Kept: 125331
% 92.91/93.35 Inuse: 1623
% 92.91/93.35 Deleted: 2200
% 92.91/93.35 Deletedinuse: 31
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying clauses:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35 Resimplifying inuse:
% 92.91/93.35 Done
% 92.91/93.35
% 92.91/93.35
% 92.91/93.35 Intermediate Status:
% 92.91/93.35 Generated: 682795
% 92.91/93.35 Kept: 127461
% 92.91/93.35 Inuse: 1658
% 175.33/175.86 Deleted: 2630
% 175.33/175.86 Deletedinuse: 32
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 707572
% 175.33/175.86 Kept: 130797
% 175.33/175.86 Inuse: 1688
% 175.33/175.86 Deleted: 2632
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 721475
% 175.33/175.86 Kept: 133949
% 175.33/175.86 Inuse: 1691
% 175.33/175.86 Deleted: 2632
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 737897
% 175.33/175.86 Kept: 136171
% 175.33/175.86 Inuse: 1693
% 175.33/175.86 Deleted: 2632
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 759280
% 175.33/175.86 Kept: 141855
% 175.33/175.86 Inuse: 1699
% 175.33/175.86 Deleted: 2632
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 782289
% 175.33/175.86 Kept: 144673
% 175.33/175.86 Inuse: 1718
% 175.33/175.86 Deleted: 2632
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying clauses:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 802104
% 175.33/175.86 Kept: 146985
% 175.33/175.86 Inuse: 1728
% 175.33/175.86 Deleted: 3332
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 809954
% 175.33/175.86 Kept: 149394
% 175.33/175.86 Inuse: 1744
% 175.33/175.86 Deleted: 3346
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 814580
% 175.33/175.86 Kept: 151415
% 175.33/175.86 Inuse: 1748
% 175.33/175.86 Deleted: 3362
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 823648
% 175.33/175.86 Kept: 153423
% 175.33/175.86 Inuse: 1763
% 175.33/175.86 Deleted: 3373
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 832773
% 175.33/175.86 Kept: 155425
% 175.33/175.86 Inuse: 1780
% 175.33/175.86 Deleted: 3373
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 842579
% 175.33/175.86 Kept: 157585
% 175.33/175.86 Inuse: 1802
% 175.33/175.86 Deleted: 3373
% 175.33/175.86 Deletedinuse: 34
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 853972
% 175.33/175.86 Kept: 159632
% 175.33/175.86 Inuse: 1822
% 175.33/175.86 Deleted: 3374
% 175.33/175.86 Deletedinuse: 35
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 864662
% 175.33/175.86 Kept: 161664
% 175.33/175.86 Inuse: 1847
% 175.33/175.86 Deleted: 3374
% 175.33/175.86 Deletedinuse: 35
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 877836
% 175.33/175.86 Kept: 163876
% 175.33/175.86 Inuse: 1877
% 175.33/175.86 Deleted: 3374
% 175.33/175.86 Deletedinuse: 35
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 889247
% 175.33/175.86 Kept: 165951
% 175.33/175.86 Inuse: 1900
% 175.33/175.86 Deleted: 3376
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying clauses:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 896379
% 175.33/175.86 Kept: 167963
% 175.33/175.86 Inuse: 1917
% 175.33/175.86 Deleted: 4275
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 909152
% 175.33/175.86 Kept: 170179
% 175.33/175.86 Inuse: 1942
% 175.33/175.86 Deleted: 4275
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 960886
% 175.33/175.86 Kept: 175329
% 175.33/175.86 Inuse: 1962
% 175.33/175.86 Deleted: 4275
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 1002285
% 175.33/175.86 Kept: 178645
% 175.33/175.86 Inuse: 1967
% 175.33/175.86 Deleted: 4275
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 1014237
% 175.33/175.86 Kept: 180725
% 175.33/175.86 Inuse: 1972
% 175.33/175.86 Deleted: 4275
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 1026237
% 175.33/175.86 Kept: 182811
% 175.33/175.86 Inuse: 1977
% 175.33/175.86 Deleted: 4275
% 175.33/175.86 Deletedinuse: 37
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 1041348
% 175.33/175.86 Kept: 185267
% 175.33/175.86 Inuse: 1997
% 175.33/175.86 Deleted: 4276
% 175.33/175.86 Deletedinuse: 38
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying clauses:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 1052592
% 175.33/175.86 Kept: 187436
% 175.33/175.86 Inuse: 2012
% 175.33/175.86 Deleted: 4773
% 175.33/175.86 Deletedinuse: 38
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86 Resimplifying inuse:
% 175.33/175.86 Done
% 175.33/175.86
% 175.33/175.86
% 175.33/175.86 Intermediate Status:
% 175.33/175.86 Generated: 1065646
% 175.33/175.86 Kept: 189473
% 292.00/292.56 Inuse: 2030
% 292.00/292.56 Deleted: 4773
% 292.00/292.56 Deletedinuse: 38
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56
% 292.00/292.56 Intermediate Status:
% 292.00/292.56 Generated: 1087171
% 292.00/292.56 Kept: 193321
% 292.00/292.56 Inuse: 2047
% 292.00/292.56 Deleted: 4773
% 292.00/292.56 Deletedinuse: 38
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56
% 292.00/292.56 Intermediate Status:
% 292.00/292.56 Generated: 1104271
% 292.00/292.56 Kept: 195328
% 292.00/292.56 Inuse: 2070
% 292.00/292.56 Deleted: 4774
% 292.00/292.56 Deletedinuse: 39
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56
% 292.00/292.56 Intermediate Status:
% 292.00/292.56 Generated: 1116920
% 292.00/292.56 Kept: 197472
% 292.00/292.56 Inuse: 2087
% 292.00/292.56 Deleted: 4775
% 292.00/292.56 Deletedinuse: 40
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56
% 292.00/292.56 Intermediate Status:
% 292.00/292.56 Generated: 1132397
% 292.00/292.56 Kept: 199717
% 292.00/292.56 Inuse: 2107
% 292.00/292.56 Deleted: 4775
% 292.00/292.56 Deletedinuse: 40
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56
% 292.00/292.56 Intermediate Status:
% 292.00/292.56 Generated: 1145464
% 292.00/292.56 Kept: 201745
% 292.00/292.56 Inuse: 2125
% 292.00/292.56 Deleted: 4775
% 292.00/292.56 Deletedinuse: 40
% 292.00/292.56
% 292.00/292.56 Resimplifying inuse:
% 292.00/292.56 Done
% 292.00/292.56
% 292.00/292.56
% 292.00/292.56 Intermediate Status:
% 292.00/292.56 Generated: 1169694
% 292.00/292.56 Kept: 203764
% 292.00/292.56 Inuse: 2130
% 292.00/292.56 Deleted: 4775
% 292.00/292.57 Deletedinuse: 40
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1182545
% 292.00/292.57 Kept: 205771
% 292.00/292.57 Inuse: 2134
% 292.00/292.57 Deleted: 4775
% 292.00/292.57 Deletedinuse: 40
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying clauses:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1195599
% 292.00/292.57 Kept: 207789
% 292.00/292.57 Inuse: 2138
% 292.00/292.57 Deleted: 5036
% 292.00/292.57 Deletedinuse: 40
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1214064
% 292.00/292.57 Kept: 209831
% 292.00/292.57 Inuse: 2157
% 292.00/292.57 Deleted: 5036
% 292.00/292.57 Deletedinuse: 40
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1231679
% 292.00/292.57 Kept: 212026
% 292.00/292.57 Inuse: 2177
% 292.00/292.57 Deleted: 5037
% 292.00/292.57 Deletedinuse: 41
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1251779
% 292.00/292.57 Kept: 214297
% 292.00/292.57 Inuse: 2202
% 292.00/292.57 Deleted: 5037
% 292.00/292.57 Deletedinuse: 41
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1272053
% 292.00/292.57 Kept: 216346
% 292.00/292.57 Inuse: 2227
% 292.00/292.57 Deleted: 5038
% 292.00/292.57 Deletedinuse: 42
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1285636
% 292.00/292.57 Kept: 218694
% 292.00/292.57 Inuse: 2242
% 292.00/292.57 Deleted: 5038
% 292.00/292.57 Deletedinuse: 42
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1300374
% 292.00/292.57 Kept: 220831
% 292.00/292.57 Inuse: 2262
% 292.00/292.57 Deleted: 5038
% 292.00/292.57 Deletedinuse: 42
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1312463
% 292.00/292.57 Kept: 222846
% 292.00/292.57 Inuse: 2267
% 292.00/292.57 Deleted: 5038
% 292.00/292.57 Deletedinuse: 42
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1324501
% 292.00/292.57 Kept: 225230
% 292.00/292.57 Inuse: 2272
% 292.00/292.57 Deleted: 5038
% 292.00/292.57 Deletedinuse: 42
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1338864
% 292.00/292.57 Kept: 227281
% 292.00/292.57 Inuse: 2302
% 292.00/292.57 Deleted: 5038
% 292.00/292.57 Deletedinuse: 42
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1370812
% 292.00/292.57 Kept: 231257
% 292.00/292.57 Inuse: 2307
% 292.00/292.57 Deleted: 5040
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying clauses:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1403210
% 292.00/292.57 Kept: 235310
% 292.00/292.57 Inuse: 2312
% 292.00/292.57 Deleted: 5853
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1420548
% 292.00/292.57 Kept: 238031
% 292.00/292.57 Inuse: 2327
% 292.00/292.57 Deleted: 5853
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1444834
% 292.00/292.57 Kept: 241132
% 292.00/292.57 Inuse: 2352
% 292.00/292.57 Deleted: 5853
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1469238
% 292.00/292.57 Kept: 245400
% 292.00/292.57 Inuse: 2362
% 292.00/292.57 Deleted: 5853
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1491106
% 292.00/292.57 Kept: 249866
% 292.00/292.57 Inuse: 2367
% 292.00/292.57 Deleted: 5853
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1512792
% 292.00/292.57 Kept: 254277
% 292.00/292.57 Inuse: 2372
% 292.00/292.57 Deleted: 5853
% 292.00/292.57 Deletedinuse: 44
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying clauses:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57 Resimplifying inuse:
% 292.00/292.57 Done
% 292.00/292.57
% 292.00/292.57
% 292.00/292.57 Intermediate Status:
% 292.00/292.57 Generated: 1532087
% 292.00/292.57 Kept: 256488
% 292.00/292.57 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------