TSTP Solution File: LCL852-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL852-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:58:48 EDT 2022
% Result : Timeout 300.09s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL852-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.32 % Computer : n015.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Sun Jul 3 03:22:30 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.89/1.30 *** allocated 10000 integers for termspace/termends
% 0.89/1.30 *** allocated 10000 integers for clauses
% 0.89/1.30 *** allocated 10000 integers for justifications
% 0.89/1.30 *** allocated 15000 integers for termspace/termends
% 0.89/1.30 Bliksem 1.12
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Automatic Strategy Selection
% 0.89/1.30
% 0.89/1.30 Clauses:
% 0.89/1.30 [
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.30 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.89/1.30 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 0.89/1.30 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.89/1.30 Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.89/1.30 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.89/1.30 hBOOL( hAPP( X, Z ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.89/1.30 hBOOL( hAPP( X, Z ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.89/1.30 ), Z ), Y ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.89/1.30 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.89/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.89/1.30 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.89/1.30 hAPP( Z, T ) ) ],
% 0.89/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.89/1.30 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.89/1.30 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.30 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.89/1.30 ), =( X, T ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.89/1.30 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ),
% 0.89/1.30 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 T, X ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.89/1.30 'tc_nat' ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.89/1.30 'v_sko__Nat__Xnat__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.89/1.30 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.89/1.30 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.89/1.30 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ) ),
% 0.89/1.30 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.89/1.30 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.89/1.30 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.89/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.89/1.30 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.89/1.30 'v_sko__List__Xupt__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y ) ) ), =( X,
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.30 , X, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 X, T, 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.30 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.89/1.30 'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.89/1.30 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.89/1.30 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), T ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), T ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.30 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.89/1.30 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.30 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.89/1.30 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ),
% 0.89/1.30 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.89/1.30 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.30 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.89/1.30 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.30 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.89/1.30 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.30 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.89/1.30 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.89/1.30 Y ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.89/1.30 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.89/1.30 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.89/1.30 , X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.89/1.30 , X ), Z, X ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.89/1.30 'tc_nat' ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.89/1.30 , Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.89/1.30 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.89/1.30 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.30 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.30 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.89/1.30 , 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.89/1.30 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.89/1.30 , X, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.89/1.30 'tc_nat' ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.89/1.30 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), Z, 'tc_nat' ), 'tc_nat'
% 0.89/1.30 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.89/1.30 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.89/1.30 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.89/1.30 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.89/1.30 , V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 T, X, U, W, Y, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 T, X, U, Y, W, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.89/1.30 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.89/1.30 , V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 X, T, U, Y, W, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.89/1.30 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.89/1.30 , V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.89/1.30 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.89/1.30 , V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.89/1.30 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.89/1.30 W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.89/1.30 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.89/1.30 W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.89/1.30 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.89/1.30 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.30 Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.89/1.30 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.89/1.30 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.89/1.30 , 'tc_Lambda_OdB' ) ), ~( 'c_InductTermi_OIT'( Y ) ), ~(
% 0.89/1.30 'c_InductTermi_OIT'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.89/1.30 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.89/1.30 'tc_nat' ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'v_s____' ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.89/1.30 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.89/1.30 'tc_Lambda_OdB' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.30 , Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.30 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.89/1.30 hAPP( X, Z ) ) ],
% 0.89/1.30 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.89/1.30 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.89/1.30 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.89/1.30 ), Y ), X ), 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.89/1.30 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.89/1.30 X ) ), Y ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , X ), Y ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Y ), X ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , X ), Y ), 'tc_nat' ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ),
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.89/1.30 , Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.89/1.30 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 T, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.89/1.30 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.89/1.30 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.89/1.30 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Z ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.89/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.89/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.89/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.89/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.89/1.30 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 0.89/1.30 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.89/1.30 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 0.89/1.30 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.89/1.30 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.89/1.30 W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.89/1.30 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.89/1.30 , V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.89/1.30 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.89/1.30 W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.89/1.30 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.89/1.30 , V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.89/1.30 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 0.89/1.30 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.89/1.30 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 0.89/1.30 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.89/1.30 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.89/1.30 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 T, X, U, W, Z, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 T, X, U, W, Y, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 T, X, U, Z, W, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 T, X, U, Y, W, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.89/1.30 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 X, T, U, Z, W, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.89/1.30 X, T, U, Y, W, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 0.89/1.30 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 0.89/1.30 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.89/1.30 , V0, U, V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 0.89/1.30 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.89/1.30 , V0, U, V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.89/1.30 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 0.89/1.30 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.89/1.30 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.89/1.30 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.89/1.30 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.89/1.30 'c_InductTermi_OIT'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.89/1.30 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.89/1.30 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.89/1.30 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.89/1.30 Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.89/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.30 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.89/1.30 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.89/1.30 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.30 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.89/1.30 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.89/1.30 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.89/1.30 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.89/1.30 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.89/1.30 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.89/1.30 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.89/1.30 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.89/1.30 , X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.89/1.30 , X ), X ) ],
% 0.89/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.89/1.30 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.89/1.30 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.30 , Y ), Z ), Z, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.89/1.30 hAPP( X, Z ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.89/1.30 , 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.89/1.30 , 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.89/1.30 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.89/1.30 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.89/1.30 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.89/1.30 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.89/1.30 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.89/1.30 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.89/1.30 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.89/1.30 X ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.30 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.89/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.89/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.89/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.89/1.30 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.89/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.30 X, 'tc_nat' ) ), X ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( 'c_lessequals'(
% 0.89/1.30 X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~(
% 0.89/1.30 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 0.89/1.30 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0,
% 0.89/1.30 V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 0.89/1.30 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0,
% 0.89/1.30 V1 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.89/1.30 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.89/1.30 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.89/1.30 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.89/1.30 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.30 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.89/1.30 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.89/1.30 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.89/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.89/1.30 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.89/1.30 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.89/1.30 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.30 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.30 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.89/1.30 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.89/1.30 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.89/1.30 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.30 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.89/1.30 , Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.30 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.89/1.30 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.30 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.30 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.30 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , Z ), Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.89/1.30 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.89/1.30 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.89/1.30 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.89/1.30 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.89/1.30 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.30 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.89/1.30 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.89/1.30 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.89/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.30 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.89/1.30 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.89/1.30 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.89/1.30 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.89/1.30 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'(
% 0.89/1.30 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.30 ), 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.30 ), 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'(
% 0.89/1.30 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.30 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.89/1.30 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.30 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.89/1.30 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.89/1.30 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.89/1.30 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 0.89/1.30 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.89/1.30 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.89/1.30 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.89/1.30 Z ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.89/1.30 Z ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.89/1.30 Z, U ), W ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.89/1.30 Z, U ), W ) ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.89/1.30 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.89/1.30 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.89/1.30 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.89/1.30 , Z, U, W ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.89/1.30 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.89/1.30 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.89/1.30 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.89/1.30 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.89/1.30 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.89/1.30 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.89/1.30 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.89/1.30 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.89/1.30 'tc_Lambda_OdB' ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.89/1.30 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.89/1.30 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.89/1.30 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), Z ) ) ],
% 0.89/1.30 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.89/1.30 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.89/1.30 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.89/1.30 , Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.89/1.30 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.89/1.30 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.89/1.30 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.89/1.30 hAPP( X, T ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.89/1.30 hAPP( X, T ) ) ],
% 0.89/1.30 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.89/1.30 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.89/1.30 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.89/1.30 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.89/1.30 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.89/1.30 , Y ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.89/1.30 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.89/1.30 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.89/1.30 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), Z ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.89/1.30 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.89/1.30 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.89/1.30 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.89/1.30 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.89/1.30 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), Z ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~(
% 0.89/1.30 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), 'c_Type_Otype_OAtom'(
% 0.89/1.30 Z ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.89/1.30 , Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.89/1.30 , Y ) ) ],
% 0.89/1.30 [ =( 'c_Type_Otype_Otype__rec'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun', Z
% 0.89/1.30 ), T ), U ), hAPP( hAPP( hAPP( hAPP( Y, Z ), T ),
% 0.89/1.30 'c_Type_Otype_Otype__rec'( X, Y, Z, U ) ), 'c_Type_Otype_Otype__rec'( X,
% 0.89/1.30 Y, T, U ) ) ) ],
% 0.89/1.30 [ =( 'c_Type_Otype_Otype__case'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.89/1.30 Z ), T ), U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.89/1.30 Z, T ), U ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.89/1.30 Z, T ), U ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Type_Otype_OAtom'( X ), hAPP( hAPP( 'c_Type_Otype_OFun', Y )
% 0.89/1.30 , Z ) ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), 'c_Type_Osko__Type__Xabs__typeE__1__1'( X, Y ),
% 0.89/1.30 'tc_Type_Otype' ), Y, 'c_Type_Osko__Type__Xabs__typeE__1__2'( X, Y ) ),
% 0.89/1.30 ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ),
% 0.89/1.30 'tc_Type_Otype' ), Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z
% 0.89/1.30 ) ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.89/1.30 'c_InductTermi_OIT'( X ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.89/1.30 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.89/1.30 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, Y, Z ) ), ~(
% 0.89/1.30 'c_Type_Otyping'( T, Y, U ) ), ~( 'c_InductTermi_OIT'( Y ) ), ~(
% 0.89/1.30 'c_Type_Otyping'( 'c_Type_Oshift'( T, Z, U, 'tc_Type_Otype' ), X, W ) ),
% 0.89/1.30 ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.89/1.30 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.89/1.30 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.89/1.30 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.89/1.30 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.89/1.30 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.89/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.89/1.30 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.89/1.30 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.89/1.30 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.89/1.30 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.89/1.30 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.89/1.30 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.89/1.30 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.89/1.30 , Y ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.89/1.30 [ 'c_InductTermi_OIT'( 'v_ta____' ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.89/1.30 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.89/1.30 , Y ), Z ) ) ],
% 0.89/1.30 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.89/1.30 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.89/1.30 'c_Suc'( Y ), Z, T ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.89/1.30 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.89/1.30 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.89/1.30 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.89/1.30 'tc_Lambda_OdB' ), X ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.89/1.30 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.89/1.30 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.89/1.30 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'v_ea____', 'v_s____', hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', 'v_Ta____' ), 'v_U____' ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.89/1.30 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.89/1.30 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.89/1.30 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.89/1.30 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.89/1.30 Z ) ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.89/1.30 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.89/1.30 , Z ) ) ],
% 0.89/1.30 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.89/1.30 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.89/1.30 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'v_ea____', 'v_ta____', 'v_Ta____' ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.89/1.30 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.89/1.30 Z ) ) ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea____',
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.89/1.30 'v_Ta____' ), 'v_U____' ), 'tc_Type_Otype' ), 'c_Lambda_Olift'(
% 0.89/1.30 'v_ta____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_Ta____' ) ],
% 0.89/1.30 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea____',
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.89/1.30 'v_Ta____' ), 'v_U____' ), 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 'c_Type_Otype_OFun'
% 0.89/1.30 , 'v_Ta____' ), 'v_U____' ) ) ],
% 0.89/1.30 [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea____',
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.89/1.30 'v_Ta____' ), 'v_U____' ), 'tc_Type_Otype' ), hAPP( hAPP(
% 0.89/1.30 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ) ), 'c_Lambda_Olift'( 'v_ta____', 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_nat' ) ) ), 'v_U____' ) ) ],
% 0.89/1.30 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.30 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.30 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.30 Y ) ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.30 ],
% 0.89/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.30 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.89/1.30 [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.30 ] .
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 percentage equality = 0.296796, percentage horn = 0.917137
% 0.89/1.30 This is a problem with some equality
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Options Used:
% 0.89/1.30
% 0.89/1.30 useres = 1
% 0.89/1.30 useparamod = 1
% 0.89/1.30 useeqrefl = 1
% 0.89/1.30 useeqfact = 1
% 0.89/1.30 usefactor = 1
% 0.89/1.30 usesimpsplitting = 0
% 0.89/1.30 usesimpdemod = 5
% 0.89/1.30 usesimpres = 3
% 0.89/1.30
% 0.89/1.30 resimpinuse = 1000
% 0.89/1.30 resimpclauses = 20000
% 0.89/1.30 substype = eqrewr
% 0.89/1.30 backwardsubs = 1
% 0.89/1.30 selectoldest = 5
% 0.89/1.30
% 0.89/1.30 litorderings [0] = split
% 0.89/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.30
% 0.89/1.30 termordering = kbo
% 0.89/1.30
% 0.89/1.30 litapriori = 0
% 0.89/1.30 termapriori = 1
% 0.89/1.30 litaposteriori = 0
% 0.89/1.30 termaposteriori = 0
% 0.89/1.30 demodaposteriori = 0
% 0.89/1.30 ordereqreflfact = 0
% 0.89/1.30
% 0.89/1.30 litselect = negord
% 0.89/1.30
% 0.89/1.30 maxweight = 15
% 0.89/1.30 maxdepth = 30000
% 0.89/1.30 maxlength = 115
% 0.89/1.30 maxnrvars = 195
% 0.89/1.30 excuselevel = 1
% 0.89/1.30 increasemaxweight = 1
% 0.89/1.30
% 0.89/1.30 maxselected = 10000000
% 0.89/1.30 maxnrclauses = 10000000
% 0.89/1.30
% 0.89/1.30 showgenerated = 0
% 0.89/1.30 showkept = 0
% 0.89/1.30 showselected = 0
% 0.94/1.71 showdeleted = 0
% 0.94/1.71 showresimp = 1
% 0.94/1.71 showstatus = 2000
% 0.94/1.71
% 0.94/1.71 prologoutput = 1
% 0.94/1.71 nrgoals = 5000000
% 0.94/1.71 totalproof = 1
% 0.94/1.71
% 0.94/1.71 Symbols occurring in the translation:
% 0.94/1.71
% 0.94/1.71 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.71 . [1, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.94/1.71 ! [4, 1] (w:0, o:94, a:1, s:1, b:0),
% 0.94/1.71 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.71 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.71 'class_Orderings_Oorder' [40, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.94/1.71 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.94/1.71 'class_Orderings_Opreorder' [45, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Opordered__comm__monoid__add' [46, 1] (w:1, o:102
% 0.94/1.71 , a:1, s:1, b:0),
% 0.94/1.71 'c_HOL_Ozero__class_Ozero' [47, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.94/1.71 'c_HOL_Oplus__class_Oplus' [48, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.94/1.71 hAPP [50, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.94/1.71 'c_lessequals' [52, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.94/1.71 'tc_nat' [55, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.94/1.71 'c_HOL_Ominus__class_Ominus' [56, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.94/1.71 'c_Suc' [57, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add' [58, 1] (w:1, o:
% 0.94/1.71 106, a:1, s:1, b:0),
% 0.94/1.71 'c_Lambda_Osubstn' [67, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.94/1.71 'c_Lambda_Oliftn' [68, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.94/1.71 'c_Lambda_Osubst' [69, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.94/1.71 hBOOL [71, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Ogroup__add' [72, 1] (w:1, o:108, a:1, s:1, b:0)
% 0.94/1.71 ,
% 0.94/1.71 'c_Lambda_OdB_OVar' [73, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Olordered__ab__group__add' [74, 1] (w:1, o:110
% 0.94/1.71 , a:1, s:1, b:0),
% 0.94/1.71 'c_Orderings_Oord__class_Omax' [75, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.94/1.71 'c_Lambda_OdB_OAbs' [80, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.94/1.71 'c_Lambda_OdB_OdB__case' [81, 5] (w:1, o:202, a:1, s:1, b:0),
% 0.94/1.71 'c_Lambda_Obeta' [83, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.94/1.71 'class_Ring__and__Field_Oordered__semidom' [84, 1] (w:1, o:114, a:1
% 0.94/1.71 , s:1, b:0),
% 0.94/1.71 'c_Nat_Osemiring__1__class_Oof__nat' [85, 2] (w:1, o:173, a:1, s:1
% 0.94/1.71 , b:0),
% 0.94/1.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [86, 1]
% 0.94/1.71 (w:1, o:115, a:1, s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Ocomm__monoid__add' [87, 1] (w:1, o:116, a:1, s:1
% 0.94/1.71 , b:0),
% 0.94/1.71 'c_List_Oreplicate' [88, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.94/1.71 'class_Orderings_Olinorder' [89, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.94/1.71 'c_Power_Opower__class_Opower' [90, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.94/1.71 'v_sko__Nat__Xnat__Xinduct__1' [92, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.94/1.71 'class_Ring__and__Field_Osemiring__0' [93, 1] (w:1, o:121, a:1, s:1
% 0.94/1.71 , b:0),
% 0.94/1.71 'class_Power_Opower' [94, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.94/1.71 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1' [95, 1] (w:1, o:
% 0.94/1.71 132, a:1, s:1, b:0),
% 0.94/1.71 'class_Orderings_Obot' [96, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.94/1.71 'c_Orderings_Obot__class_Obot' [97, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.94/1.71 'v_sko__List__Xupt__Xinduct__1' [98, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.94/1.71
% 0.94/1.71 'c_Type_Otype_OAtom' [99, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.94/1.71 'class_Ring__and__Field_Ocomm__semiring__1' [101, 1] (w:1, o:137, a:1
% 0.94/1.71 , s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Osemigroup__add' [102, 1] (w:1, o:123, a:1, s:1
% 0.94/1.71 , b:0),
% 0.94/1.71 'c_List_Ofoldl' [104, 5] (w:1, o:203, a:1, s:1, b:0),
% 0.94/1.71 'class_Nat_Osemiring__char__0' [105, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.94/1.71 'c_List_Olist_ONil' [106, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.94/1.71 'c_List_Odrop' [107, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.94/1.71 'c_Groebner__Basis_Ogb__semiring' [115, 6] (w:1, o:206, a:1, s:1, b:0
% 0.94/1.71 ),
% 0.94/1.71 'c_Lambda_Olift' [116, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Oab__group__add' [117, 1] (w:1, o:124, a:1, s:1
% 0.94/1.71 , b:0),
% 0.94/1.71 'class_OrderedGroup_Oab__semigroup__add' [118, 1] (w:1, o:125, a:1
% 0.94/1.71 , s:1, b:0),
% 0.94/1.71 'class_OrderedGroup_Opordered__ab__group__add' [120, 1] (w:1, o:126
% 0.94/1.71 , a:1, s:1, b:0),
% 0.94/1.71 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [124, 4] (w:1, o:195, a:
% 13.12/13.49 1, s:1, b:0),
% 13.12/13.49 'c_Type_Otypings' [125, 3] (w:1, o:191, a:1, s:1, b:0),
% 13.12/13.49 'c_Lambda_OdB_OApp' [126, 0] (w:1, o:71, a:1, s:1, b:0),
% 13.12/13.49 'tc_Lambda_OdB' [127, 0] (w:1, o:72, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Otyping' [128, 3] (w:1, o:192, a:1, s:1, b:0),
% 13.12/13.49 'c_List_Ofoldr' [131, 5] (w:1, o:204, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xtype__induct__1__1' [132, 1] (w:1, o:135, a:1
% 13.12/13.49 , s:1, b:0),
% 13.12/13.49 'c_Nat_Osize__class_Osize' [138, 2] (w:1, o:175, a:1, s:1, b:0),
% 13.12/13.49 'class_OrderedGroup_Omonoid__add' [140, 1] (w:1, o:127, a:1, s:1, b:0
% 13.12/13.49 ),
% 13.12/13.49 'class_Ring__and__Field_Oidom' [142, 1] (w:1, o:139, a:1, s:1, b:0),
% 13.12/13.49
% 13.12/13.49 'class_Int_Onumber__ring' [143, 1] (w:1, o:140, a:1, s:1, b:0),
% 13.12/13.49 'class_OrderedGroup_Ocancel__ab__semigroup__add' [144, 1] (w:1, o:128
% 13.12/13.49 , a:1, s:1, b:0),
% 13.12/13.49 'class_OrderedGroup_Ocancel__semigroup__add' [145, 1] (w:1, o:129, a:
% 13.12/13.49 1, s:1, b:0),
% 13.12/13.49 'class_Ring__and__Field_Oordered__idom' [146, 1] (w:1, o:141, a:1, s:
% 13.12/13.49 1, b:0),
% 13.12/13.49 'c_InductTermi_OIT' [147, 1] (w:1, o:142, a:1, s:1, b:0),
% 13.12/13.49 'v_s____' [148, 0] (w:1, o:75, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Otype_Otype__rec' [150, 4] (w:1, o:200, a:1, s:1, b:0),
% 13.12/13.49 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [151, 1]
% 13.12/13.49 (w:1, o:130, a:1, s:1, b:0),
% 13.12/13.49 't_a' [158, 0] (w:1, o:76, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Otype_Otype__case' [159, 4] (w:1, o:201, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Otype_OFun' [160, 0] (w:1, o:77, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xtyping__elims__3__1' [161, 3] (w:1, o:189, a:1
% 13.12/13.49 , s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xtyping__elims__3__2' [162, 3] (w:1, o:190, a:1
% 13.12/13.49 , s:1, b:0),
% 13.12/13.49 'class_Ring__and__Field_Ozero__neq__one' [163, 1] (w:1, o:143, a:1
% 13.12/13.49 , s:1, b:0),
% 13.12/13.49 'class_Ring__and__Field_Ono__zero__divisors' [164, 1] (w:1, o:113, a:
% 13.12/13.49 1, s:1, b:0),
% 13.12/13.49 'class_Ring__and__Field_Omult__zero' [165, 1] (w:1, o:112, a:1, s:1
% 13.12/13.49 , b:0),
% 13.12/13.49 'class_Ring__and__Field_Oring__1__no__zero__divisors' [166, 1] (w:1
% 13.12/13.49 , o:119, a:1, s:1, b:0),
% 13.12/13.49 'c_Lambda_OdB_OdB__rec' [167, 5] (w:1, o:205, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [168, 4] (w:1, o:194, a:
% 13.12/13.49 1, s:1, b:0),
% 13.12/13.49 'class_Ring__and__Field_Oring__1' [169, 1] (w:1, o:120, a:1, s:1, b:0
% 13.12/13.49 ),
% 13.12/13.49 'class_Ring__and__Field_Osemiring__1' [170, 1] (w:1, o:144, a:1, s:1
% 13.12/13.49 , b:0),
% 13.12/13.49 'c_Lambda_OdB_OdB__size' [171, 1] (w:1, o:145, a:1, s:1, b:0),
% 13.12/13.49 'tc_String_Ochar' [172, 0] (w:1, o:78, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [174, 4] (w:1, o:196, a:
% 13.12/13.49 1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xvar__app__types__1__1' [177, 4] (w:1, o:197, a:1
% 13.12/13.49 , s:1, b:0),
% 13.12/13.49 'tc_Type_Otype' [180, 0] (w:1, o:85, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xabs__typeE__1__1' [189, 2] (w:1, o:176, a:1, s:1
% 13.12/13.49 , b:0),
% 13.12/13.49 'c_Type_Oshift' [190, 4] (w:1, o:198, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xabs__typeE__1__2' [191, 2] (w:1, o:177, a:1, s:1
% 13.12/13.49 , b:0),
% 13.12/13.49 'v_ta____' [192, 0] (w:1, o:86, a:1, s:1, b:0),
% 13.12/13.49 'c_Type_Osko__Type__Xtyping__elims__2__1' [193, 4] (w:1, o:199, a:1
% 13.12/13.49 , s:1, b:0),
% 13.12/13.49 'v_ea____' [196, 0] (w:1, o:87, a:1, s:1, b:0),
% 13.12/13.49 'v_Ta____' [197, 0] (w:1, o:88, a:1, s:1, b:0),
% 13.12/13.49 'v_U____' [198, 0] (w:1, o:89, a:1, s:1, b:0),
% 13.12/13.49 'tc_fun' [203, 2] (w:1, o:178, a:1, s:1, b:0),
% 13.12/13.49 'c_fequal' [204, 3] (w:1, o:193, a:1, s:1, b:0).
% 13.12/13.49
% 13.12/13.49
% 13.12/13.49 Starting Search:
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49
% 13.12/13.49 Intermediate Status:
% 13.12/13.49 Generated: 3848
% 13.12/13.49 Kept: 2003
% 13.12/13.49 Inuse: 128
% 13.12/13.49 Deleted: 5
% 13.12/13.49 Deletedinuse: 0
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49
% 13.12/13.49 Intermediate Status:
% 13.12/13.49 Generated: 9311
% 13.12/13.49 Kept: 4016
% 13.12/13.49 Inuse: 243
% 13.12/13.49 Deleted: 9
% 13.12/13.49 Deletedinuse: 1
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49
% 13.12/13.49 Intermediate Status:
% 13.12/13.49 Generated: 15924
% 13.12/13.49 Kept: 6019
% 13.12/13.49 Inuse: 312
% 13.12/13.49 Deleted: 10
% 13.12/13.49 Deletedinuse: 2
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49
% 13.12/13.49 Intermediate Status:
% 13.12/13.49 Generated: 27041
% 13.12/13.49 Kept: 8477
% 13.12/13.49 Inuse: 392
% 13.12/13.49 Deleted: 11
% 13.12/13.49 Deletedinuse: 2
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 13.12/13.49 Done
% 13.12/13.49
% 13.12/13.49 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 34691
% 36.12/36.55 Kept: 10622
% 36.12/36.55 Inuse: 447
% 36.12/36.55 Deleted: 14
% 36.12/36.55 Deletedinuse: 4
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 43165
% 36.12/36.55 Kept: 12726
% 36.12/36.55 Inuse: 498
% 36.12/36.55 Deleted: 24
% 36.12/36.55 Deletedinuse: 11
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 57194
% 36.12/36.55 Kept: 14820
% 36.12/36.55 Inuse: 517
% 36.12/36.55 Deleted: 25
% 36.12/36.55 Deletedinuse: 11
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 66101
% 36.12/36.55 Kept: 16839
% 36.12/36.55 Inuse: 573
% 36.12/36.55 Deleted: 29
% 36.12/36.55 Deletedinuse: 11
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 78394
% 36.12/36.55 Kept: 19021
% 36.12/36.55 Inuse: 617
% 36.12/36.55 Deleted: 31
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying clauses:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 99189
% 36.12/36.55 Kept: 21408
% 36.12/36.55 Inuse: 637
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 110432
% 36.12/36.55 Kept: 23490
% 36.12/36.55 Inuse: 657
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 121326
% 36.12/36.55 Kept: 25561
% 36.12/36.55 Inuse: 702
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 130624
% 36.12/36.55 Kept: 27765
% 36.12/36.55 Inuse: 712
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 146183
% 36.12/36.55 Kept: 30170
% 36.12/36.55 Inuse: 742
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 160098
% 36.12/36.55 Kept: 32207
% 36.12/36.55 Inuse: 767
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 174050
% 36.12/36.55 Kept: 34893
% 36.12/36.55 Inuse: 807
% 36.12/36.55 Deleted: 593
% 36.12/36.55 Deletedinuse: 12
% 36.12/36.55
% 36.12/36.55 Resimplifying inuse:
% 36.12/36.55 Done
% 36.12/36.55
% 36.12/36.55
% 36.12/36.55 Intermediate Status:
% 36.12/36.55 Generated: 182768
% 36.12/36.55 Kept: 37094
% 36.12/36.55 Inuse: 812
% 36.20/36.55 Deleted: 593
% 36.20/36.55 Deletedinuse: 12
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 193849
% 36.20/36.55 Kept: 39754
% 36.20/36.55 Inuse: 832
% 36.20/36.55 Deleted: 593
% 36.20/36.55 Deletedinuse: 12
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying clauses:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 205196
% 36.20/36.55 Kept: 41929
% 36.20/36.55 Inuse: 877
% 36.20/36.55 Deleted: 945
% 36.20/36.55 Deletedinuse: 12
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 225095
% 36.20/36.55 Kept: 44558
% 36.20/36.55 Inuse: 907
% 36.20/36.55 Deleted: 947
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 241752
% 36.20/36.55 Kept: 46938
% 36.20/36.55 Inuse: 917
% 36.20/36.55 Deleted: 947
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 256601
% 36.20/36.55 Kept: 49151
% 36.20/36.55 Inuse: 942
% 36.20/36.55 Deleted: 947
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 277255
% 36.20/36.55 Kept: 51349
% 36.20/36.55 Inuse: 962
% 36.20/36.55 Deleted: 947
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 286596
% 36.20/36.55 Kept: 53413
% 36.20/36.55 Inuse: 994
% 36.20/36.55 Deleted: 950
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 293641
% 36.20/36.55 Kept: 55553
% 36.20/36.55 Inuse: 1014
% 36.20/36.55 Deleted: 950
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 306810
% 36.20/36.55 Kept: 57569
% 36.20/36.55 Inuse: 1043
% 36.20/36.55 Deleted: 950
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 316211
% 36.20/36.55 Kept: 59804
% 36.20/36.55 Inuse: 1062
% 36.20/36.55 Deleted: 950
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying clauses:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 36.20/36.55 Generated: 324850
% 36.20/36.55 Kept: 62590
% 36.20/36.55 Inuse: 1079
% 36.20/36.55 Deleted: 1515
% 36.20/36.55 Deletedinuse: 14
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55 Resimplifying inuse:
% 36.20/36.55 Done
% 36.20/36.55
% 36.20/36.55
% 36.20/36.55 Intermediate Status:
% 102.94/103.34 Generated: 336016
% 102.94/103.34 Kept: 64609
% 102.94/103.34 Inuse: 1108
% 102.94/103.34 Deleted: 1516
% 102.94/103.34 Deletedinuse: 15
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 353507
% 102.94/103.34 Kept: 66635
% 102.94/103.34 Inuse: 1130
% 102.94/103.34 Deleted: 1517
% 102.94/103.34 Deletedinuse: 16
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 365149
% 102.94/103.34 Kept: 68799
% 102.94/103.34 Inuse: 1149
% 102.94/103.34 Deleted: 1517
% 102.94/103.34 Deletedinuse: 16
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 384038
% 102.94/103.34 Kept: 70812
% 102.94/103.34 Inuse: 1174
% 102.94/103.34 Deleted: 1517
% 102.94/103.34 Deletedinuse: 16
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 394054
% 102.94/103.34 Kept: 73086
% 102.94/103.34 Inuse: 1199
% 102.94/103.34 Deleted: 1518
% 102.94/103.34 Deletedinuse: 17
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 406086
% 102.94/103.34 Kept: 75240
% 102.94/103.34 Inuse: 1228
% 102.94/103.34 Deleted: 1518
% 102.94/103.34 Deletedinuse: 17
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 417386
% 102.94/103.34 Kept: 77435
% 102.94/103.34 Inuse: 1234
% 102.94/103.34 Deleted: 1518
% 102.94/103.34 Deletedinuse: 17
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 436975
% 102.94/103.34 Kept: 80454
% 102.94/103.34 Inuse: 1264
% 102.94/103.34 Deleted: 1518
% 102.94/103.34 Deletedinuse: 17
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying clauses:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 448465
% 102.94/103.34 Kept: 82772
% 102.94/103.34 Inuse: 1274
% 102.94/103.34 Deleted: 1890
% 102.94/103.34 Deletedinuse: 17
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 462537
% 102.94/103.34 Kept: 85289
% 102.94/103.34 Inuse: 1279
% 102.94/103.34 Deleted: 1890
% 102.94/103.34 Deletedinuse: 17
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 471891
% 102.94/103.34 Kept: 87741
% 102.94/103.34 Inuse: 1281
% 102.94/103.34 Deleted: 1894
% 102.94/103.34 Deletedinuse: 18
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 484893
% 102.94/103.34 Kept: 89750
% 102.94/103.34 Inuse: 1305
% 102.94/103.34 Deleted: 1901
% 102.94/103.34 Deletedinuse: 19
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 492722
% 102.94/103.34 Kept: 93207
% 102.94/103.34 Inuse: 1315
% 102.94/103.34 Deleted: 1901
% 102.94/103.34 Deletedinuse: 19
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 513160
% 102.94/103.34 Kept: 97469
% 102.94/103.34 Inuse: 1325
% 102.94/103.34 Deleted: 1901
% 102.94/103.34 Deletedinuse: 19
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 529133
% 102.94/103.34 Kept: 100060
% 102.94/103.34 Inuse: 1335
% 102.94/103.34 Deleted: 1901
% 102.94/103.34 Deletedinuse: 19
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying clauses:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 544658
% 102.94/103.34 Kept: 102066
% 102.94/103.34 Inuse: 1353
% 102.94/103.34 Deleted: 2303
% 102.94/103.34 Deletedinuse: 19
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 556809
% 102.94/103.34 Kept: 104392
% 102.94/103.34 Inuse: 1370
% 102.94/103.34 Deleted: 2303
% 102.94/103.34 Deletedinuse: 19
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 571347
% 102.94/103.34 Kept: 107244
% 102.94/103.34 Inuse: 1385
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 581060
% 102.94/103.34 Kept: 109258
% 102.94/103.34 Inuse: 1412
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 591410
% 102.94/103.34 Kept: 111495
% 102.94/103.34 Inuse: 1435
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 600965
% 102.94/103.34 Kept: 113981
% 102.94/103.34 Inuse: 1465
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 609412
% 102.94/103.34 Kept: 116374
% 102.94/103.34 Inuse: 1490
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 619019
% 102.94/103.34 Kept: 118420
% 102.94/103.34 Inuse: 1515
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34 Resimplifying inuse:
% 102.94/103.34 Done
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 632132
% 102.94/103.34 Kept: 120568
% 102.94/103.34 Inuse: 1550
% 102.94/103.34 Deleted: 2304
% 102.94/103.34 Deletedinuse: 20
% 102.94/103.34
% 102.94/103.34
% 102.94/103.34 Intermediate Status:
% 102.94/103.34 Generated: 645190
% 102.94/103.34 Kept: 123202
% 102.94/103.34 Inuse: 1555
% 102.94/103.34 Deleted: 2304
% 219.26/219.67 Deletedinuse: 20
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying clauses:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 662568
% 219.26/219.67 Kept: 130004
% 219.26/219.67 Inuse: 1567
% 219.26/219.67 Deleted: 3002
% 219.26/219.67 Deletedinuse: 20
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 675191
% 219.26/219.67 Kept: 136063
% 219.26/219.67 Inuse: 1568
% 219.26/219.67 Deleted: 3002
% 219.26/219.67 Deletedinuse: 20
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 685835
% 219.26/219.67 Kept: 138111
% 219.26/219.67 Inuse: 1588
% 219.26/219.67 Deleted: 3002
% 219.26/219.67 Deletedinuse: 20
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 702747
% 219.26/219.67 Kept: 145480
% 219.26/219.67 Inuse: 1597
% 219.26/219.67 Deleted: 3003
% 219.26/219.67 Deletedinuse: 21
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying clauses:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 715198
% 219.26/219.67 Kept: 147843
% 219.26/219.67 Inuse: 1600
% 219.26/219.67 Deleted: 3083
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 729028
% 219.26/219.67 Kept: 150882
% 219.26/219.67 Inuse: 1605
% 219.26/219.67 Deleted: 3083
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 742393
% 219.26/219.67 Kept: 153289
% 219.26/219.67 Inuse: 1610
% 219.26/219.67 Deleted: 3083
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 755519
% 219.26/219.67 Kept: 160055
% 219.26/219.67 Inuse: 1611
% 219.26/219.67 Deleted: 3083
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 769620
% 219.26/219.67 Kept: 162455
% 219.26/219.67 Inuse: 1645
% 219.26/219.67 Deleted: 3083
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 803825
% 219.26/219.67 Kept: 165909
% 219.26/219.67 Inuse: 1650
% 219.26/219.67 Deleted: 3083
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying clauses:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 819255
% 219.26/219.67 Kept: 168841
% 219.26/219.67 Inuse: 1665
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 828410
% 219.26/219.67 Kept: 170865
% 219.26/219.67 Inuse: 1682
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 846807
% 219.26/219.67 Kept: 172878
% 219.26/219.67 Inuse: 1692
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 856783
% 219.26/219.67 Kept: 174891
% 219.26/219.67 Inuse: 1707
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 868732
% 219.26/219.67 Kept: 177350
% 219.26/219.67 Inuse: 1715
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 880171
% 219.26/219.67 Kept: 179651
% 219.26/219.67 Inuse: 1730
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 892653
% 219.26/219.67 Kept: 181687
% 219.26/219.67 Inuse: 1747
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 901943
% 219.26/219.67 Kept: 183875
% 219.26/219.67 Inuse: 1760
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 912622
% 219.26/219.67 Kept: 186302
% 219.26/219.67 Inuse: 1780
% 219.26/219.67 Deleted: 3199
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying clauses:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 924668
% 219.26/219.67 Kept: 188537
% 219.26/219.67 Inuse: 1800
% 219.26/219.67 Deleted: 3380
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 939019
% 219.26/219.67 Kept: 190955
% 219.26/219.67 Inuse: 1810
% 219.26/219.67 Deleted: 3380
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 952676
% 219.26/219.67 Kept: 192967
% 219.26/219.67 Inuse: 1819
% 219.26/219.67 Deleted: 3380
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 973653
% 219.26/219.67 Kept: 196107
% 219.26/219.67 Inuse: 1829
% 219.26/219.67 Deleted: 3380
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 1007676
% 219.26/219.67 Kept: 199465
% 219.26/219.67 Inuse: 1835
% 219.26/219.67 Deleted: 3380
% 219.26/219.67 Deletedinuse: 22
% 219.26/219.67
% 219.26/219.67 Resimplifying inuse:
% 219.26/219.67 Done
% 219.26/219.67
% 219.26/219.67
% 219.26/219.67 Intermediate Status:
% 219.26/219.67 Generated: 1018742
% 219.26/219.67 Kept: 201622
% 219.26/219.67 Inuse: 1840
% 219.26/219.67 Deleted: 3380
% 219.26/219.67 DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------