TSTP Solution File: LCL815-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL815-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:58:21 EDT 2022
% Result : Timeout 300.02s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL815-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jul 3 13:06:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.98/1.34 *** allocated 10000 integers for termspace/termends
% 0.98/1.34 *** allocated 10000 integers for clauses
% 0.98/1.34 *** allocated 10000 integers for justifications
% 0.98/1.34 *** allocated 15000 integers for termspace/termends
% 0.98/1.34 *** allocated 22500 integers for termspace/termends
% 0.98/1.34 Bliksem 1.12
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34 Automatic Strategy Selection
% 0.98/1.34
% 0.98/1.34 Clauses:
% 0.98/1.34 [
% 0.98/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.98/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.34 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.34 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.98/1.34 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.34 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 0.98/1.34 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.34 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.34 Z, 'tc_nat' ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.34 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.98/1.34 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.34 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.34 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.98/1.34 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.98/1.34 ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ), 'c_Suc'(
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.34 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ),
% 0.98/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.34 'tc_nat' ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.34 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.98/1.34 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.98/1.34 ), =( X, T ) ],
% 0.98/1.34 [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.34 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.98/1.34 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.98/1.34 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ),
% 0.98/1.34 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.98/1.34 =( X, T ) ],
% 0.98/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.98/1.34 =( Y, T ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.34 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.34 T, X ) ) ],
% 0.98/1.34 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.98/1.34 'tc_nat' ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.98/1.34 'tc_nat' ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.98/1.34 'v_sko__Nat__Xnat__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.34 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.98/1.34 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.98/1.34 =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( T,
% 0.98/1.34 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U ), 'c_lessequals'(
% 0.98/1.34 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.98/1.34 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.98/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.98/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.98/1.34 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.98/1.34 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.34 Y ) ) ) ],
% 0.98/1.34 [ =( 'c_List_Orev'( 'c_List_Olist__update'( X, Y, Z, T ), T ),
% 0.98/1.34 'c_List_Olist__update'( 'c_List_Orev'( X, T ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ),
% 0.98/1.34 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.35 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ) ),
% 0.98/1.35 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.35 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X,
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.98/1.35 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.35 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.35 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.98/1.35 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.98/1.35 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.98/1.35 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.98/1.35 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 0.98/1.35 , Z, Y ), Y ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 0.98/1.35 , X, Y ), Y ) ) ],
% 0.98/1.35 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.98/1.35 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.98/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.98/1.35 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.98/1.35 'v_sko__List__Xupt__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y ) ) ), =( X,
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.35 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.35 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.98/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.35 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.98/1.35 , X, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.98/1.35 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 'tc_nat' ) ) ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 X, T, 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.98/1.35 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.98/1.35 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.98/1.35 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.98/1.35 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.98/1.35 , Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.98/1.35 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.35 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.98/1.35 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.98/1.35 T, Y, Z ), Z ) ) ],
% 0.98/1.35 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.98/1.35 Y, T, Z ), Z ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.35 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 Z, X, 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.98/1.35 ), Z ), Y ) ],
% 0.98/1.35 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 0.98/1.35 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.98/1.35 'tc_List_Olist'( Y ) ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.98/1.35 hBOOL( hAPP( X, Z ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.98/1.35 hBOOL( hAPP( X, Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.35 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.98/1.35 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.98/1.35 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.98/1.35 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.98/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 0.98/1.35 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.98/1.35 Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.98/1.35 'tc_List_Olist'( Z ) ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.98/1.35 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.98/1.35 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.98/1.35 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.98/1.35 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 0.98/1.35 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.98/1.35 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.35 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 0.98/1.35 , T ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.98/1.35 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), T ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), T ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.35 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Otake'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.98/1.35 Y, 'c_List_Otake'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.35 ), Y ), Z, T ), T ) ) ],
% 0.98/1.35 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.98/1.35 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.98/1.35 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.98/1.35 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.98/1.35 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.35 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.98/1.35 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.98/1.35 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.98/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.35 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ),
% 0.98/1.35 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ],
% 0.98/1.35 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.35 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.98/1.35 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.98/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.98/1.35 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.98/1.35 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , T, X ) ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.35 , T, X ) ) ), =( Z, T ) ],
% 0.98/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.98/1.35 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.98/1.35 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.98/1.35 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.98/1.35 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.98/1.35 Y ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.98/1.35 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.98/1.35 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.98/1.35 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.98/1.35 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.98/1.35 , X ), Z, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.98/1.35 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.98/1.35 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.98/1.35 =( Y, 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.98/1.35 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Otake'( X, Z, T ),
% 0.98/1.35 'c_List_Otake'( Y, 'c_List_Odrop'( X, Z, T ), T ), T ) ), ~(
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 Y ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ), 'tc_nat' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.35 X ), Y ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.35 X ), Y ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 Z, T, X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.98/1.35 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.35 X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.98/1.35 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.35 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.98/1.35 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.35 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.98/1.35 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.98/1.35 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.98/1.35 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.35 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.98/1.35 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.98/1.35 , 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.98/1.35 , 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 0.98/1.35 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.98/1.35 Y ) ), Z, Y ), X ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Z,
% 0.98/1.35 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.98/1.35 ) ), 'tc_nat' ), =( 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X,
% 0.98/1.35 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.98/1.35 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.98/1.35 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.98/1.35 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.98/1.35 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.98/1.35 , Y ), Y ), Z ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.98/1.35 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.98/1.35 Z ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.98/1.35 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.98/1.35 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( 'c_lessequals'( Z
% 0.98/1.35 , Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~(
% 0.98/1.35 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.35 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.35 'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.35 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.98/1.35 , Y ) ],
% 0.98/1.35 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.98/1.35 hAPP( X, Z ) ) ],
% 0.98/1.35 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.35 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.98/1.35 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.35 , X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Y, X ) ) ],
% 0.98/1.35 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.98/1.35 ), Y ), X ), 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.98/1.35 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.98/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.98/1.35 X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y, Z ),
% 0.98/1.35 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.98/1.35 ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ) ),
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , X ), Y ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Y ), X ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , X ), Y ), 'tc_nat' ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ),
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Olist_OCons'( Y, 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( X
% 0.98/1.35 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.98/1.35 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.98/1.35 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 'tc_nat' ) ) ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 0.98/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.35 ), =( Z, Y ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.98/1.35 , Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.98/1.35 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.98/1.35 , X ), Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.98/1.35 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.35 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.35 , Y, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Orotate'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.98/1.35 'tc_nat' ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.35 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.98/1.35 , Y ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.35 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.98/1.35 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.98/1.35 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.35 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 0.98/1.35 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.98/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.98/1.35 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_List_Oreplicate'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Y ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.98/1.35 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.98/1.35 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.98/1.35 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.35 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.98/1.35 , 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.98/1.35 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.98/1.35 , X, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.98/1.35 'tc_nat' ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.35 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.98/1.35 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), Z, 'tc_nat' ), 'tc_nat'
% 0.98/1.35 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.98/1.35 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.98/1.35 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.98/1.35 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.98/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.98/1.35 , V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 T, X, U, W, Y, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 T, X, U, Y, W, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.98/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.98/1.35 , V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 X, T, U, Y, W, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.98/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.98/1.35 , V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.98/1.35 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.98/1.35 , V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.98/1.35 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.98/1.35 W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.98/1.35 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.98/1.35 W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.98/1.35 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.98/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.98/1.35 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.98/1.35 W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.98/1.35 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.98/1.35 , V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.98/1.35 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.98/1.35 W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.98/1.35 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.98/1.35 , V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.98/1.35 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 0.98/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.98/1.35 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 0.98/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.98/1.35 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.98/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 T, X, U, W, Z, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 T, X, U, W, Y, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 T, X, U, Z, W, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 T, X, U, Y, W, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.98/1.35 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 X, T, U, Z, W, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.98/1.35 X, T, U, Y, W, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 0.98/1.35 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 0.98/1.35 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.98/1.35 , V0, U, V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 0.98/1.35 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.98/1.35 , V0, U, V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.98/1.35 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 0.98/1.35 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.98/1.35 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.98/1.35 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.35 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 0.98/1.35 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 0.98/1.35 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.98/1.35 U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 0.98/1.35 Z ), Z ), Y ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.98/1.35 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.98/1.35 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.98/1.35 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.98/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.98/1.35 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.98/1.35 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.98/1.35 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.98/1.35 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.35 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.98/1.35 Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.98/1.35 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.98/1.35 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.98/1.35 , 'tc_nat' ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.98/1.35 , 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 0.98/1.35 'c_List_Odistinct'( Y, Z ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'(
% 0.98/1.35 X, Y ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 0.98/1.35 ), Y ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.98/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.98/1.35 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.98/1.35 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 , X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 T, X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.98/1.35 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.35 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.98/1.35 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.98/1.35 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.98/1.35 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 0.98/1.35 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 0.98/1.35 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.35 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Z ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y
% 0.98/1.35 , 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 , X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.98/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.98/1.35 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.98/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.98/1.35 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 0.98/1.35 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.35 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 0.98/1.35 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~( 'c_lessequals'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.35 X, 'tc_nat' ) ), X ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( 'c_lessequals'(
% 0.98/1.35 X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~(
% 0.98/1.35 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X,
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.35 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, U, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 0.98/1.35 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0,
% 0.98/1.35 V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 0.98/1.35 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0,
% 0.98/1.35 V1 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.98/1.35 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.98/1.35 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.35 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.35 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.98/1.35 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.98/1.35 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.98/1.35 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.98/1.35 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.35 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.98/1.35 ), Y, X ) ), =( Z, T ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.35 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.35 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 0.98/1.35 , X, Y ), Y ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~(
% 0.98/1.35 'c_List_Odistinct'( Y, Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.98/1.35 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.35 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.98/1.35 ) ],
% 0.98/1.35 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.98/1.35 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.98/1.35 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.98/1.35 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.35 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.35 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.98/1.35 'tc_List_Olist'( Z ) ), X ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.98/1.35 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.98/1.35 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.98/1.35 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.98/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.35 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.98/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.35 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.35 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.98/1.35 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.98/1.35 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.98/1.35 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 X ), T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 X ), T, X ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.98/1.35 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.98/1.35 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.98/1.35 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 'tc_nat' ), 'tc_nat' ), Z, T ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.98/1.35 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.98/1.35 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.98/1.35 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.98/1.35 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.98/1.35 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.98/1.35 Y, Z ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.98/1.35 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.98/1.35 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.98/1.35 =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z )
% 0.98/1.35 ), T, Z ) ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.98/1.35 ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.35 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.98/1.35 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.98/1.35 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.98/1.35 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.98/1.35 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.98/1.35 ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.98/1.35 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.98/1.35 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.98/1.35 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.98/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.98/1.35 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.98/1.35 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.98/1.35 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 0.98/1.35 'c_List_Odistinct'( Y, Z ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.35 , X ), X ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.35 , X ), X ) ],
% 0.98/1.35 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.98/1.35 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.98/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.98/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.98/1.35 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.98/1.35 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.98/1.35 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.98/1.35 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.35 , Y ), Z ), Z, X ), Y ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.98/1.35 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.98/1.35 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.98/1.35 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.98/1.35 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.35 [ =( 'c_List_Orotate'( X, 'c_List_Orotate'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Orotate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X )
% 0.98/1.35 , Y ), Z, T ) ) ],
% 0.98/1.35 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.98/1.35 hAPP( X, Z ) ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.98/1.35 ) ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.98/1.35 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.98/1.35 Z ) ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.98/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.98/1.35 , 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.98/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.98/1.35 , 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.98/1.35 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.98/1.35 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.35 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.35 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.98/1.35 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.98/1.35 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.35 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.35 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.35 Y ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.98/1.35 X ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.35 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.98/1.35 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.98/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.98/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.98/1.35 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.98/1.35 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.35 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.98/1.35 , Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.98/1.35 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.35 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.98/1.35 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.35 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.98/1.35 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.35 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.35 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.98/1.35 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.35 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , Z ), Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.35 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.98/1.35 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.98/1.35 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 0.98/1.35 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.98/1.35 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.98/1.35 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.35 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.98/1.35 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.98/1.35 , X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.98/1.35 , X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.35 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.98/1.35 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.35 ) ), =( X, T ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.35 ) ), =( Y, U ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.98/1.35 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.35 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~(
% 0.98/1.35 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.98/1.35 Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.98/1.35 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.98/1.35 , T ) ), =( Y, U ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.98/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.98/1.35 Z ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.98/1.35 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.98/1.35 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.98/1.35 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.98/1.35 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.98/1.35 , V4 ), W ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.98/1.35 X ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.98/1.35 =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) )
% 0.98/1.35 , X, Z ), T ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.98/1.35 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.98/1.35 ) ), 'tc_nat' ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.98/1.35 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.98/1.35 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.98/1.35 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.98/1.35 , Z ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.35 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.35 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.35 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.98/1.35 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.35 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.98/1.35 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.98/1.35 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.98/1.35 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.98/1.35 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.98/1.35 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.98/1.35 ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.35 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.98/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.98/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.98/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.98/1.35 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 0.98/1.35 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.35 'tc_nat' ) ) ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.98/1.35 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.98/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.98/1.35 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.98/1.35 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'(
% 0.98/1.35 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.35 ), 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.35 ), 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'(
% 0.98/1.35 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.98/1.35 ],
% 0.98/1.35 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.98/1.35 ],
% 0.98/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.35 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL(
% 0.98/1.35 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.98/1.35 ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.98/1.35 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.35 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.98/1.35 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.98/1.35 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.98/1.35 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 0.98/1.35 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.98/1.35 'c_List_Omap'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y ), Z, Y,
% 0.98/1.35 X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.98/1.35 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.98/1.35 ), Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.98/1.35 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.98/1.35 Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ),
% 0.98/1.35 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =( 'c_List_Omap'( X
% 0.98/1.35 , Y, Z, Z ), Y ) ],
% 0.98/1.35 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Omap'( Z, X
% 0.98/1.35 , Y, T ), T ) ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.98/1.35 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.98/1.35 ), U ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.98/1.35 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.98/1.35 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.98/1.35 , 'c_List_Olist_ONil'( T ) ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.98/1.35 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.98/1.35 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 0.98/1.35 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U ),
% 0.98/1.35 'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ],
% 0.98/1.35 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.98/1.35 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 0.98/1.35 , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ),
% 0.98/1.35 =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.98/1.35 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.98/1.35 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.98/1.35 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 0.98/1.35 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.98/1.35 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.98/1.35 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.98/1.35 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 0.98/1.35 ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 0.98/1.35 , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T,
% 0.98/1.35 U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 0.98/1.35 ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ),
% 0.98/1.35 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.98/1.35 ) ],
% 0.98/1.35 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.35 ), Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.98/1.35 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.98/1.35 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.98/1.35 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.98/1.35 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.98/1.35 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.98/1.35 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.35 ), X ), Y ) ],
% 0.98/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 0.98/1.35 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 0.98/1.35 X, T ) ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.98/1.35 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.98/1.35 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.98/1.35 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.35 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldr'( X, Y, Z, T, U ), 'c_List_Ofoldl'( 'c_COMBC'( X, T
% 0.98/1.35 , U, U ), Z, 'c_List_Orev'( Y, T ), U, T ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldl'( X, Y, Z, T, U ), 'c_List_Ofoldr'( 'c_COMBC'( X, T
% 0.98/1.35 , U, T ), 'c_List_Orev'( Z, U ), Y, U, T ) ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), 'c_Type_Otype_OAtom'(
% 0.98/1.35 Z ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.98/1.35 , Z ) ) ],
% 0.98/1.35 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.98/1.35 , Y ) ) ],
% 0.98/1.35 [ =( 'c_Type_Otype_Otype__rec'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun', Z
% 0.98/1.35 ), T ), U ), hAPP( hAPP( hAPP( hAPP( Y, Z ), T ),
% 0.98/1.35 'c_Type_Otype_Otype__rec'( X, Y, Z, U ) ), 'c_Type_Otype_Otype__rec'( X,
% 0.98/1.35 Y, T, U ) ) ) ],
% 0.98/1.35 [ =( 'c_Type_Otype_Otype__case'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.98/1.35 Z ), T ), U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.98/1.35 Z, T ), U ) ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.98/1.35 Z, T ), U ) ) ) ],
% 0.98/1.35 [ ~( =( 'c_Type_Otype_OAtom'( X ), hAPP( hAPP( 'c_Type_Otype_OFun', Y )
% 0.98/1.35 , Z ) ) ) ],
% 0.98/1.35 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.98/1.35 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.98/1.35 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 0.98/1.35 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.98/1.35 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.98/1.35 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.98/1.35 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 0.98/1.35 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.98/1.35 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.98/1.35 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.98/1.35 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.98/1.35 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.98/1.35 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.98/1.35 ],
% 0.98/1.35 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.98/1.35 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.98/1.35 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.98/1.35 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.98/1.35 [ =( 'v_n____', 'v_i____' ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.98/1.35 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.35 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.98/1.35 'v_Ts____', 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.98/1.35 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.98/1.35 ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.35 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.98/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.35 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.35 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.98/1.35 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.98/1.35 'tc_Type_Otype' ) ) ) ],
% 0.98/1.35 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.98/1.35 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.35 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.98/1.35 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.98/1.35 'c_Suc'( Y ), Z, T ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.35 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.98/1.35 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.98/1.35 'tc_nat', 'tc_Lambda_OdB' ), Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.35 [ =( 'c_List_Ofoldr'( X, 'c_List_Omap'( Y, Z, T, U ), W, U, V0 ),
% 0.98/1.35 'c_List_Ofoldr'( 'c_Fun_Ocomp'( X, Y, U, 'tc_fun'( V0, V0 ), T ), Z, W, T
% 0.98/1.35 , V0 ) ) ],
% 0.98/1.35 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.98/1.35 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.98/1.35 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.98/1.35 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( 'c_COMBC'(
% 0.98/1.35 'c_Lambda_Olift', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 0.98/1.35 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ],
% 0.98/1.35 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.98/1.35 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.98/1.35 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.98/1.35 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.98/1.35 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.98/1.35 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 0.98/1.35 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.98/1.35 'tc_nat', 'tc_Lambda_OdB' ) ), Z ), 'tc_Lambda_OdB', 'tc_nat',
% 0.98/1.35 'tc_Lambda_OdB' ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.98/1.35 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.98/1.35 'tc_Type_Otype' ) ) ) ],
% 0.98/1.35 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_List_Ofoldr'(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.98/1.35 'tc_Type_Otype' ), 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'(
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Ofoldr'(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.98/1.35 'tc_Type_Otype' ) ) ],
% 0.98/1.35 [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 0.98/1.35 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 0.98/1.35 'tc_Lambda_OdB' ) ), Y ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), Z
% 0.98/1.35 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'(
% 0.98/1.35 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) ), ~(
% 0.98/1.35 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.98/1.35 [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.98/1.35 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.98/1.35 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.98/1.35 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.98/1.35 U ) ) ],
% 0.98/1.35 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.98/1.35 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.98/1.35 'tc_nat', 'tc_Lambda_OdB' ), Y ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.98/1.35 U ), ~( 'c_Type_Otypings'( X, T, U ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.98/1.35 X ), Y ) ), Z ), Y ), X ) ],
% 0.98/1.35 [ 'c_Type_Otypings'( 'v_e____', 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 0.98/1.35 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.98/1.35 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_u____' ), 'tc_Lambda_OdB', 'tc_nat',
% 0.98/1.35 'tc_Lambda_OdB' ), 'v_i____' ), 'v_as____', 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), 'v_Ts____' ) ],
% 0.98/1.35 [ ~( 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____',
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_List_Ofoldr'(
% 0.98/1.35 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.98/1.35 'tc_Type_Otype' ), 'tc_Type_Otype' ), 'c_List_Omap'( hAPP( 'c_COMBC'(
% 0.98/1.35 'c_Lambda_Olift', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ),
% 0.98/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Omap'( hAPP( 'c_COMBC'(
% 0.98/1.35 hAPP( 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB',
% 0.98/1.35 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_u____' ), 'tc_Lambda_OdB',
% 0.98/1.35 'tc_nat', 'tc_Lambda_OdB' ), 'v_i____' ), 'v_as____', 'tc_Lambda_OdB',
% 0.98/1.35 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_Ts____' ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Orderings_Opreorder'( Y ) ) ],
% 0.98/1.35 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Orderings_Oorder'( Y ) ) ],
% 0.98/1.35 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.98/1.35 Y ) ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.98/1.35 ],
% 0.98/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.98/1.35 ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.98/1.35 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.98/1.35 U ) ) ],
% 0.98/1.35 [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.98/1.35 [ 'c_fequal'( X, X, Y ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.98/1.35 ] .
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 percentage equality = 0.371939, percentage horn = 0.923823
% 0.98/1.35 This is a problem with some equality
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 Options Used:
% 0.98/1.35
% 0.98/1.35 useres = 1
% 0.98/1.35 useparamod = 1
% 0.98/1.35 useeqrefl = 1
% 0.98/1.35 useeqfact = 1
% 0.98/1.35 usefactor = 1
% 0.98/1.35 usesimpsplitting = 0
% 0.98/1.35 usesimpdemod = 5
% 0.98/1.35 usesimpres = 3
% 0.98/1.35
% 0.98/1.35 resimpinuse = 1000
% 0.98/1.35 resimpclauses = 20000
% 0.98/1.35 substype = eqrewr
% 0.98/1.35 backwardsubs = 1
% 0.98/1.35 selectoldest = 5
% 0.98/1.35
% 0.98/1.35 litorderings [0] = split
% 0.98/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.35
% 0.98/1.35 termordering = kbo
% 0.98/1.35
% 0.98/1.35 litapriori = 0
% 0.98/1.35 termapriori = 1
% 0.98/1.35 litaposteriori = 0
% 0.98/1.35 termaposteriori = 0
% 0.98/1.35 demodaposteriori = 0
% 0.98/1.35 ordereqreflfact = 0
% 0.98/1.35
% 0.98/1.35 litselect = negord
% 0.98/1.35
% 0.98/1.35 maxweight = 15
% 0.98/1.35 maxdepth = 30000
% 0.98/1.35 maxlength = 115
% 0.98/1.35 maxnrvars = 195
% 0.98/1.35 excuselevel = 1
% 0.98/1.35 increasemaxweight = 1
% 0.98/1.35
% 0.98/1.35 maxselected = 10000000
% 0.98/1.35 maxnrclauses = 10000000
% 0.98/1.35
% 0.98/1.35 showgenerated = 0
% 0.98/1.36 showkept = 0
% 0.98/1.36 showselected = 0
% 0.98/1.36 showdeleted = 0
% 0.98/1.36 showresimp = 1
% 0.98/1.36 showstatus = 2000
% 0.98/1.36
% 0.98/1.36 prologoutput = 1
% 0.98/1.36 nrgoals = 5000000
% 0.98/1.36 totalproof = 1
% 0.98/1.36
% 0.98/1.36 Symbols occurring in the translation:
% 0.98/1.36
% 0.98/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.36 . [1, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.98/1.36 ! [4, 1] (w:0, o:124, a:1, s:1, b:0),
% 0.98/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Olordered__ab__group__add' [40, 1] (w:1, o:130
% 0.98/1.36 , a:1, s:1, b:0),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.98/1.36 'c_HOL_Oplus__class_Oplus' [42, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.98/1.36 hAPP [44, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.98/1.36 'c_lessequals' [45, 3] (w:1, o:210, a:1, s:1, b:0),
% 0.98/1.36 'tc_nat' [47, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.98/1.36 'c_Suc' [48, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.98/1.36 'c_HOL_Oord__class_Oless' [49, 3] (w:1, o:211, a:1, s:1, b:0),
% 0.98/1.36 'c_Orderings_Oord__class_Omax' [51, 3] (w:1, o:212, a:1, s:1, b:0),
% 0.98/1.36 'c_HOL_Oone__class_Oone' [52, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.98/1.36 'class_Ring__and__Field_Oordered__semidom' [53, 1] (w:1, o:137, a:1
% 0.98/1.36 , s:1, b:0),
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat' [54, 2] (w:1, o:203, a:1, s:1
% 0.98/1.36 , b:0),
% 0.98/1.36 'c_List_Olist_OCons' [56, 3] (w:1, o:213, a:1, s:1, b:0),
% 0.98/1.36 'tc_List_Olist' [57, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.98/1.36 'c_Nat_Osize__class_Osize' [58, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [60, 1]
% 0.98/1.36 (w:1, o:139, a:1, s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Ocomm__monoid__add' [61, 1] (w:1, o:140, a:1, s:1
% 0.98/1.36 , b:0),
% 0.98/1.36 'c_List_Olist_ONil' [65, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Olistsp' [66, 3] (w:1, o:214, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Oreplicate' [68, 3] (w:1, o:215, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Oappend' [72, 3] (w:1, o:216, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Odrop' [73, 3] (w:1, o:217, a:1, s:1, b:0),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus' [74, 3] (w:1, o:218, a:1, s:1, b:0),
% 0.98/1.36 'class_Orderings_Olinorder' [77, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.98/1.36 'c_Power_Opower__class_Opower' [79, 3] (w:1, o:219, a:1, s:1, b:0),
% 0.98/1.36 hBOOL [82, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.98/1.36 'v_sko__Nat__Xnat__Xinduct__1' [83, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Otake' [84, 3] (w:1, o:221, a:1, s:1, b:0),
% 0.98/1.36 'class_Ring__and__Field_Osemiring__0' [89, 1] (w:1, o:147, a:1, s:1
% 0.98/1.36 , b:0),
% 0.98/1.36 'class_Power_Opower' [90, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Olist__update' [91, 4] (w:1, o:229, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Orev' [92, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.98/1.36 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1' [93, 1] (w:1, o:
% 0.98/1.36 164, a:1, s:1, b:0),
% 0.98/1.36 'class_Orderings_Obot' [95, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.98/1.36 'c_Orderings_Obot__class_Obot' [96, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.98/1.36 'c_List_Odistinct' [97, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.98/1.36 'v_sko__List__Xupt__Xinduct__1' [99, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.98/1.36
% 0.98/1.36 'c_Type_Otype_OAtom' [100, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.98/1.36 'c_Lambda_OdB_OAbs' [103, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.98/1.36 'c_Lambda_Osubstn' [105, 3] (w:1, o:222, a:1, s:1, b:0),
% 0.98/1.36 'class_Ring__and__Field_Ocomm__semiring__1' [106, 1] (w:1, o:170, a:1
% 0.98/1.36 , s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Osemigroup__add' [108, 1] (w:1, o:149, a:1, s:1
% 0.98/1.36 , b:0),
% 0.98/1.36 'c_List_Ofoldl' [109, 5] (w:1, o:235, a:1, s:1, b:0),
% 0.98/1.36 'class_Nat_Osemiring__char__0' [110, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.98/1.36
% 0.98/1.36 'c_Lambda_OdB_OVar' [113, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.98/1.36 'c_Type_Otyping' [114, 3] (w:1, o:223, a:1, s:1, b:0),
% 0.98/1.36 'c_Lambda_Osubst' [115, 0] (w:1, o:70, a:1, s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Ogroup__add' [116, 1] (w:1, o:150, a:1, s:1, b:0)
% 0.98/1.36 ,
% 0.98/1.36 'class_OrderedGroup_Opordered__ab__semigroup__add' [119, 1] (w:1, o:
% 0.98/1.36 151, a:1, s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Omonoid__add' [120, 1] (w:1, o:152, a:1, s:1, b:0
% 0.98/1.36 ),
% 0.98/1.36 'c_List_Olistsum' [121, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.98/1.36 'class_OrderedGroup_Opordered__comm__monoid__add' [122, 1] (w:1, o:
% 8.00/8.38 153, a:1, s:1, b:0),
% 8.00/8.38 'class_Orderings_Opreorder' [123, 1] (w:1, o:155, a:1, s:1, b:0),
% 8.00/8.38 'class_Orderings_Oorder' [124, 1] (w:1, o:154, a:1, s:1, b:0),
% 8.00/8.38 'class_OrderedGroup_Oab__group__add' [125, 1] (w:1, o:156, a:1, s:1
% 8.00/8.38 , b:0),
% 8.00/8.38 'class_OrderedGroup_Oab__semigroup__add' [126, 1] (w:1, o:157, a:1
% 8.00/8.38 , s:1, b:0),
% 8.00/8.38 'c_Lambda_Olift' [128, 0] (w:1, o:78, a:1, s:1, b:0),
% 8.00/8.38 'class_OrderedGroup_Omonoid__mult' [129, 1] (w:1, o:158, a:1, s:1, b:
% 8.00/8.38 0),
% 8.00/8.38 'class_OrderedGroup_Opordered__ab__group__add' [130, 1] (w:1, o:159
% 8.00/8.38 , a:1, s:1, b:0),
% 8.00/8.38 'c_COMBK' [132, 3] (w:1, o:224, a:1, s:1, b:0),
% 8.00/8.38 'c_Type_Osko__Type__Xtype__induct__1__1' [134, 1] (w:1, o:167, a:1
% 8.00/8.38 , s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Osemiring__1' [135, 1] (w:1, o:172, a:1, s:1
% 8.00/8.38 , b:0),
% 8.00/8.38 'c_Groebner__Basis_Ogb__semiring' [146, 6] (w:1, o:241, a:1, s:1, b:0
% 8.00/8.38 ),
% 8.00/8.38 'c_Lambda_Oliftn' [147, 3] (w:1, o:225, a:1, s:1, b:0),
% 8.00/8.38 'c_InductTermi_OIT' [148, 0] (w:1, o:87, a:1, s:1, b:0),
% 8.00/8.38 'c_Fun_Ocomp' [151, 5] (w:1, o:236, a:1, s:1, b:0),
% 8.00/8.38 'c_List_Ofoldr' [153, 5] (w:1, o:237, a:1, s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Oordered__idom' [155, 1] (w:1, o:173, a:1, s:
% 8.00/8.38 1, b:0),
% 8.00/8.38 'c_Lambda_OdB_OApp' [156, 0] (w:1, o:95, a:1, s:1, b:0),
% 8.00/8.38 'tc_Lambda_OdB' [159, 0] (w:1, o:96, a:1, s:1, b:0),
% 8.00/8.38 'c_Type_Otype_Otype__rec' [166, 4] (w:1, o:231, a:1, s:1, b:0),
% 8.00/8.38 'c_Lambda_Obeta' [167, 2] (w:1, o:208, a:1, s:1, b:0),
% 8.00/8.38 'c_List_Orotate' [168, 3] (w:1, o:226, a:1, s:1, b:0),
% 8.00/8.38 'c_List_Omap' [172, 4] (w:1, o:232, a:1, s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Oidom' [173, 1] (w:1, o:174, a:1, s:1, b:0),
% 8.00/8.38
% 8.00/8.38 'class_Int_Onumber__ring' [174, 1] (w:1, o:175, a:1, s:1, b:0),
% 8.00/8.38 'class_OrderedGroup_Ocancel__ab__semigroup__add' [175, 1] (w:1, o:160
% 8.00/8.38 , a:1, s:1, b:0),
% 8.00/8.38 'class_OrderedGroup_Ocancel__semigroup__add' [176, 1] (w:1, o:161, a:
% 8.00/8.38 1, s:1, b:0),
% 8.00/8.38 't_a' [185, 0] (w:1, o:103, a:1, s:1, b:0),
% 8.00/8.38 'c_Type_Otype_Otype__case' [186, 4] (w:1, o:233, a:1, s:1, b:0),
% 8.00/8.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [189, 1]
% 8.00/8.38 (w:1, o:162, a:1, s:1, b:0),
% 8.00/8.38 'c_Type_Otype_OFun' [191, 0] (w:1, o:104, a:1, s:1, b:0),
% 8.00/8.38 'c_Type_Oshift' [192, 4] (w:1, o:230, a:1, s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Ozero__neq__one' [195, 1] (w:1, o:176, a:1
% 8.00/8.38 , s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Ono__zero__divisors' [196, 1] (w:1, o:136, a:
% 8.00/8.38 1, s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Omult__zero' [197, 1] (w:1, o:135, a:1, s:1
% 8.00/8.38 , b:0),
% 8.00/8.38 'class_Ring__and__Field_Oring__1__no__zero__divisors' [198, 1] (w:1
% 8.00/8.38 , o:145, a:1, s:1, b:0),
% 8.00/8.38 'class_Ring__and__Field_Oring__1' [199, 1] (w:1, o:146, a:1, s:1, b:0
% 8.00/8.38 ),
% 8.00/8.38 'tc_String_Ochar' [206, 0] (w:1, o:107, a:1, s:1, b:0),
% 8.00/8.38 'c_List_Osko__List__Xmap__idI__1__1' [207, 3] (w:1, o:220, a:1, s:1
% 8.00/8.38 , b:0),
% 8.00/8.38 'c_List_Osko__List__Xmap__ext__1__1' [208, 5] (w:1, o:238, a:1, s:1
% 8.00/8.38 , b:0),
% 8.00/8.38 'c_List_Osko__List__Xmap__cong__1__1' [210, 5] (w:1, o:239, a:1, s:1
% 8.00/8.38 , b:0),
% 8.00/8.38 'c_List_Osko__List__Xmap__eq__conv__1__1' [211, 5] (w:1, o:240, a:1
% 8.00/8.38 , s:1, b:0),
% 8.00/8.38 'v_e____' [212, 0] (w:1, o:108, a:1, s:1, b:0),
% 8.00/8.38 'v_i____' [213, 0] (w:1, o:109, a:1, s:1, b:0),
% 8.00/8.38 'v_T____' [214, 0] (w:1, o:110, a:1, s:1, b:0),
% 8.00/8.38 'tc_Type_Otype' [215, 0] (w:1, o:111, a:1, s:1, b:0),
% 8.00/8.38 'v_a____' [216, 0] (w:1, o:112, a:1, s:1, b:0),
% 8.00/8.38 'v_T_H_H____' [217, 0] (w:1, o:113, a:1, s:1, b:0),
% 8.00/8.38 'c_COMBC' [218, 4] (w:1, o:234, a:1, s:1, b:0),
% 8.00/8.38 'c_Type_Otypings' [228, 3] (w:1, o:227, a:1, s:1, b:0),
% 8.00/8.38 'v_n____' [229, 0] (w:1, o:114, a:1, s:1, b:0),
% 8.00/8.38 'v_Ts____' [230, 0] (w:1, o:115, a:1, s:1, b:0),
% 8.00/8.38 'v_T_H____' [231, 0] (w:1, o:116, a:1, s:1, b:0),
% 8.00/8.38 'v_u____' [232, 0] (w:1, o:117, a:1, s:1, b:0),
% 8.00/8.38 'tc_fun' [233, 2] (w:1, o:209, a:1, s:1, b:0),
% 8.00/8.38 'v_as____' [235, 0] (w:1, o:118, a:1, s:1, b:0),
% 8.00/8.38 'c_COMBB' [239, 6] (w:1, o:242, a:1, s:1, b:0),
% 8.00/8.38 'c_fequal' [240, 3] (w:1, o:228, a:1, s:1, b:0).
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Starting Search:
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 4452
% 32.58/32.98 Kept: 2003
% 32.58/32.98 Inuse: 126
% 32.58/32.98 Deleted: 6
% 32.58/32.98 Deletedinuse: 0
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 11082
% 32.58/32.98 Kept: 4030
% 32.58/32.98 Inuse: 234
% 32.58/32.98 Deleted: 7
% 32.58/32.98 Deletedinuse: 0
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 19028
% 32.58/32.98 Kept: 6093
% 32.58/32.98 Inuse: 309
% 32.58/32.98 Deleted: 9
% 32.58/32.98 Deletedinuse: 2
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 24990
% 32.58/32.98 Kept: 8106
% 32.58/32.98 Inuse: 350
% 32.58/32.98 Deleted: 10
% 32.58/32.98 Deletedinuse: 2
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 33717
% 32.58/32.98 Kept: 10317
% 32.58/32.98 Inuse: 412
% 32.58/32.98 Deleted: 15
% 32.58/32.98 Deletedinuse: 3
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 42237
% 32.58/32.98 Kept: 12320
% 32.58/32.98 Inuse: 463
% 32.58/32.98 Deleted: 26
% 32.58/32.98 Deletedinuse: 13
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 52113
% 32.58/32.98 Kept: 14414
% 32.58/32.98 Inuse: 526
% 32.58/32.98 Deleted: 29
% 32.58/32.98 Deletedinuse: 14
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 61069
% 32.58/32.98 Kept: 16422
% 32.58/32.98 Inuse: 610
% 32.58/32.98 Deleted: 32
% 32.58/32.98 Deletedinuse: 14
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 70654
% 32.58/32.98 Kept: 18995
% 32.58/32.98 Inuse: 644
% 32.58/32.98 Deleted: 35
% 32.58/32.98 Deletedinuse: 15
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying clauses:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 82430
% 32.58/32.98 Kept: 20997
% 32.58/32.98 Inuse: 692
% 32.58/32.98 Deleted: 678
% 32.58/32.98 Deletedinuse: 16
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 93232
% 32.58/32.98 Kept: 23260
% 32.58/32.98 Inuse: 729
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 104447
% 32.58/32.98 Kept: 25827
% 32.58/32.98 Inuse: 739
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 122629
% 32.58/32.98 Kept: 27837
% 32.58/32.98 Inuse: 793
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 130521
% 32.58/32.98 Kept: 29849
% 32.58/32.98 Inuse: 842
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 142216
% 32.58/32.98 Kept: 32904
% 32.58/32.98 Inuse: 859
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 148751
% 32.58/32.98 Kept: 34929
% 32.58/32.98 Inuse: 878
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 159448
% 32.58/32.98 Kept: 37676
% 32.58/32.98 Inuse: 899
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 169167
% 32.58/32.98 Kept: 39683
% 32.58/32.98 Inuse: 928
% 32.58/32.98 Deleted: 679
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying clauses:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 177756
% 32.58/32.98 Kept: 41699
% 32.58/32.98 Inuse: 950
% 32.58/32.98 Deleted: 953
% 32.58/32.98 Deletedinuse: 17
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 188218
% 32.58/32.98 Kept: 43812
% 32.58/32.98 Inuse: 989
% 32.58/32.98 Deleted: 954
% 32.58/32.98 Deletedinuse: 18
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 197914
% 32.58/32.98 Kept: 45855
% 32.58/32.98 Inuse: 1014
% 32.58/32.98 Deleted: 954
% 32.58/32.98 Deletedinuse: 18
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 223515
% 32.58/32.98 Kept: 49040
% 32.58/32.98 Inuse: 1029
% 32.58/32.98 Deleted: 954
% 32.58/32.98 Deletedinuse: 18
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 241367
% 32.58/32.98 Kept: 51225
% 32.58/32.98 Inuse: 1039
% 32.58/32.98 Deleted: 954
% 32.58/32.98 Deletedinuse: 18
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 32.58/32.98 Intermediate Status:
% 32.58/32.98 Generated: 253113
% 32.58/32.98 Kept: 53458
% 32.58/32.98 Inuse: 1069
% 32.58/32.98 Deleted: 955
% 32.58/32.98 Deletedinuse: 19
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98 Resimplifying inuse:
% 32.58/32.98 Done
% 32.58/32.98
% 32.58/32.98
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 271396
% 70.38/70.84 Kept: 56337
% 70.38/70.84 Inuse: 1103
% 70.38/70.84 Deleted: 957
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 281634
% 70.38/70.84 Kept: 58548
% 70.38/70.84 Inuse: 1133
% 70.38/70.84 Deleted: 957
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 297666
% 70.38/70.84 Kept: 60589
% 70.38/70.84 Inuse: 1149
% 70.38/70.84 Deleted: 957
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying clauses:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 318826
% 70.38/70.84 Kept: 62840
% 70.38/70.84 Inuse: 1158
% 70.38/70.84 Deleted: 1409
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 340629
% 70.38/70.84 Kept: 65029
% 70.38/70.84 Inuse: 1168
% 70.38/70.84 Deleted: 1409
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 358393
% 70.38/70.84 Kept: 67566
% 70.38/70.84 Inuse: 1178
% 70.38/70.84 Deleted: 1409
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 369887
% 70.38/70.84 Kept: 69597
% 70.38/70.84 Inuse: 1198
% 70.38/70.84 Deleted: 1409
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 380390
% 70.38/70.84 Kept: 71739
% 70.38/70.84 Inuse: 1233
% 70.38/70.84 Deleted: 1409
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 391491
% 70.38/70.84 Kept: 73770
% 70.38/70.84 Inuse: 1258
% 70.38/70.84 Deleted: 1409
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 399202
% 70.38/70.84 Kept: 75867
% 70.38/70.84 Inuse: 1276
% 70.38/70.84 Deleted: 1411
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 407066
% 70.38/70.84 Kept: 78151
% 70.38/70.84 Inuse: 1289
% 70.38/70.84 Deleted: 1411
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 418727
% 70.38/70.84 Kept: 83003
% 70.38/70.84 Inuse: 1295
% 70.38/70.84 Deleted: 1411
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying clauses:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 431565
% 70.38/70.84 Kept: 88364
% 70.38/70.84 Inuse: 1300
% 70.38/70.84 Deleted: 1791
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 476776
% 70.38/70.84 Kept: 95567
% 70.38/70.84 Inuse: 1322
% 70.38/70.84 Deleted: 1791
% 70.38/70.84 Deletedinuse: 20
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 487976
% 70.38/70.84 Kept: 100944
% 70.38/70.84 Inuse: 1325
% 70.38/70.84 Deleted: 1793
% 70.38/70.84 Deletedinuse: 22
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 499971
% 70.38/70.84 Kept: 103020
% 70.38/70.84 Inuse: 1346
% 70.38/70.84 Deleted: 1793
% 70.38/70.84 Deletedinuse: 22
% 70.38/70.84
% 70.38/70.84 Resimplifying clauses:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 519298
% 70.38/70.84 Kept: 105343
% 70.38/70.84 Inuse: 1366
% 70.38/70.84 Deleted: 1988
% 70.38/70.84 Deletedinuse: 22
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 528888
% 70.38/70.84 Kept: 107375
% 70.38/70.84 Inuse: 1394
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 545540
% 70.38/70.84 Kept: 109383
% 70.38/70.84 Inuse: 1410
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 570160
% 70.38/70.84 Kept: 112044
% 70.38/70.84 Inuse: 1416
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 582184
% 70.38/70.84 Kept: 114067
% 70.38/70.84 Inuse: 1436
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 600209
% 70.38/70.84 Kept: 116107
% 70.38/70.84 Inuse: 1450
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 616860
% 70.38/70.84 Kept: 118113
% 70.38/70.84 Inuse: 1460
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 627758
% 70.38/70.84 Kept: 120127
% 70.38/70.84 Inuse: 1478
% 70.38/70.84 Deleted: 1989
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 70.38/70.84 Done
% 70.38/70.84
% 70.38/70.84
% 70.38/70.84 Intermediate Status:
% 70.38/70.84 Generated: 635384
% 70.38/70.84 Kept: 122169
% 70.38/70.84 Inuse: 1494
% 70.38/70.84 Deleted: 1996
% 70.38/70.84 Deletedinuse: 23
% 70.38/70.84
% 70.38/70.84 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying clauses:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 645280
% 151.33/151.72 Kept: 124490
% 151.33/151.72 Inuse: 1514
% 151.33/151.72 Deleted: 2353
% 151.33/151.72 Deletedinuse: 23
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 658467
% 151.33/151.72 Kept: 126605
% 151.33/151.72 Inuse: 1534
% 151.33/151.72 Deleted: 2353
% 151.33/151.72 Deletedinuse: 23
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 668045
% 151.33/151.72 Kept: 128912
% 151.33/151.72 Inuse: 1554
% 151.33/151.72 Deleted: 2353
% 151.33/151.72 Deletedinuse: 23
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 677049
% 151.33/151.72 Kept: 131124
% 151.33/151.72 Inuse: 1573
% 151.33/151.72 Deleted: 2354
% 151.33/151.72 Deletedinuse: 23
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 698992
% 151.33/151.72 Kept: 136189
% 151.33/151.72 Inuse: 1588
% 151.33/151.72 Deleted: 2354
% 151.33/151.72 Deletedinuse: 23
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 718069
% 151.33/151.72 Kept: 138699
% 151.33/151.72 Inuse: 1603
% 151.33/151.72 Deleted: 2355
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 730460
% 151.33/151.72 Kept: 141596
% 151.33/151.72 Inuse: 1618
% 151.33/151.72 Deleted: 2355
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying clauses:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 740460
% 151.33/151.72 Kept: 143652
% 151.33/151.72 Inuse: 1631
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 754739
% 151.33/151.72 Kept: 147390
% 151.33/151.72 Inuse: 1648
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 763038
% 151.33/151.72 Kept: 151228
% 151.33/151.72 Inuse: 1653
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 774780
% 151.33/151.72 Kept: 153355
% 151.33/151.72 Inuse: 1673
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 786583
% 151.33/151.72 Kept: 156471
% 151.33/151.72 Inuse: 1683
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 798757
% 151.33/151.72 Kept: 158754
% 151.33/151.72 Inuse: 1703
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 814461
% 151.33/151.72 Kept: 161262
% 151.33/151.72 Inuse: 1718
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 826357
% 151.33/151.72 Kept: 163309
% 151.33/151.72 Inuse: 1741
% 151.33/151.72 Deleted: 2719
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying clauses:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 836890
% 151.33/151.72 Kept: 165557
% 151.33/151.72 Inuse: 1748
% 151.33/151.72 Deleted: 2909
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 849441
% 151.33/151.72 Kept: 167674
% 151.33/151.72 Inuse: 1768
% 151.33/151.72 Deleted: 2909
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 872611
% 151.33/151.72 Kept: 170156
% 151.33/151.72 Inuse: 1778
% 151.33/151.72 Deleted: 2909
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 883975
% 151.33/151.72 Kept: 172261
% 151.33/151.72 Inuse: 1798
% 151.33/151.72 Deleted: 2909
% 151.33/151.72 Deletedinuse: 24
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 898533
% 151.33/151.72 Kept: 174474
% 151.33/151.72 Inuse: 1818
% 151.33/151.72 Deleted: 2910
% 151.33/151.72 Deletedinuse: 25
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 912462
% 151.33/151.72 Kept: 176563
% 151.33/151.72 Inuse: 1838
% 151.33/151.72 Deleted: 2910
% 151.33/151.72 Deletedinuse: 25
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 925356
% 151.33/151.72 Kept: 178612
% 151.33/151.72 Inuse: 1855
% 151.33/151.72 Deleted: 2910
% 151.33/151.72 Deletedinuse: 25
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 938393
% 151.33/151.72 Kept: 180632
% 151.33/151.72 Inuse: 1872
% 151.33/151.72 Deleted: 2910
% 151.33/151.72 Deletedinuse: 25
% 151.33/151.72
% 151.33/151.72 Resimplifying inuse:
% 151.33/151.72 Done
% 151.33/151.72
% 151.33/151.72
% 151.33/151.72 Intermediate Status:
% 151.33/151.72 Generated: 952411
% 151.33/151.72 Kept: 183828
% 151.33/151.72 Inuse: 1881
% 151.33/151.72 Deleted: 2910
% 261.01/261.46 Deletedinuse: 25
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying clauses:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 960601
% 261.01/261.46 Kept: 186145
% 261.01/261.46 Inuse: 1882
% 261.01/261.46 Deleted: 3114
% 261.01/261.46 Deletedinuse: 25
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 969355
% 261.01/261.46 Kept: 188149
% 261.01/261.46 Inuse: 1885
% 261.01/261.46 Deleted: 3114
% 261.01/261.46 Deletedinuse: 25
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 988684
% 261.01/261.46 Kept: 191631
% 261.01/261.46 Inuse: 1893
% 261.01/261.46 Deleted: 3114
% 261.01/261.46 Deletedinuse: 25
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1016408
% 261.01/261.46 Kept: 195512
% 261.01/261.46 Inuse: 1900
% 261.01/261.46 Deleted: 3114
% 261.01/261.46 Deletedinuse: 25
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1033506
% 261.01/261.46 Kept: 198162
% 261.01/261.46 Inuse: 1913
% 261.01/261.46 Deleted: 3115
% 261.01/261.46 Deletedinuse: 26
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1054764
% 261.01/261.46 Kept: 201904
% 261.01/261.46 Inuse: 1923
% 261.01/261.46 Deleted: 3115
% 261.01/261.46 Deletedinuse: 26
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1076873
% 261.01/261.46 Kept: 205487
% 261.01/261.46 Inuse: 1928
% 261.01/261.46 Deleted: 3115
% 261.01/261.46 Deletedinuse: 26
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying clauses:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1092419
% 261.01/261.46 Kept: 209156
% 261.01/261.46 Inuse: 1933
% 261.01/261.46 Deleted: 3384
% 261.01/261.46 Deletedinuse: 27
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1106467
% 261.01/261.46 Kept: 211251
% 261.01/261.46 Inuse: 1946
% 261.01/261.46 Deleted: 3392
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1124382
% 261.01/261.46 Kept: 216821
% 261.01/261.46 Inuse: 1962
% 261.01/261.46 Deleted: 3396
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1156249
% 261.01/261.46 Kept: 222494
% 261.01/261.46 Inuse: 1972
% 261.01/261.46 Deleted: 3396
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1171186
% 261.01/261.46 Kept: 224521
% 261.01/261.46 Inuse: 1980
% 261.01/261.46 Deleted: 3396
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying clauses:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1193491
% 261.01/261.46 Kept: 228349
% 261.01/261.46 Inuse: 1987
% 261.01/261.46 Deleted: 3872
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1219174
% 261.01/261.46 Kept: 234340
% 261.01/261.46 Inuse: 2007
% 261.01/261.46 Deleted: 3872
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1231239
% 261.01/261.46 Kept: 238679
% 261.01/261.46 Inuse: 2012
% 261.01/261.46 Deleted: 3872
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1247142
% 261.01/261.46 Kept: 241034
% 261.01/261.46 Inuse: 2027
% 261.01/261.46 Deleted: 3872
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1256748
% 261.01/261.46 Kept: 243414
% 261.01/261.46 Inuse: 2042
% 261.01/261.46 Deleted: 3872
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1266996
% 261.01/261.46 Kept: 245698
% 261.01/261.46 Inuse: 2057
% 261.01/261.46 Deleted: 3872
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying clauses:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1277358
% 261.01/261.46 Kept: 247737
% 261.01/261.46 Inuse: 2072
% 261.01/261.46 Deleted: 4006
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1287128
% 261.01/261.46 Kept: 249799
% 261.01/261.46 Inuse: 2089
% 261.01/261.46 Deleted: 4006
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1301576
% 261.01/261.46 Kept: 252121
% 261.01/261.46 Inuse: 2112
% 261.01/261.46 Deleted: 4006
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1321102
% 261.01/261.46 Kept: 254536
% 261.01/261.46 Inuse: 2117
% 261.01/261.46 Deleted: 4006
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1342312
% 261.01/261.46 Kept: 257082
% 261.01/261.46 Inuse: 2122
% 261.01/261.46 Deleted: 4006
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46
% 261.01/261.46 Intermediate Status:
% 261.01/261.46 Generated: 1353412
% 261.01/261.46 Kept: 259755
% 261.01/261.46 Inuse: 2125
% 261.01/261.46 Deleted: 4006
% 261.01/261.46 Deletedinuse: 28
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 Done
% 261.01/261.46
% 261.01/261.46 Resimplifying inuse:
% 261.01/261.46 DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------