TSTP Solution File: LCL775-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL775-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:57:49 EDT 2022
% Result : Timeout 300.04s 300.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL775-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 04:19:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.25 *** allocated 10000 integers for termspace/termends
% 0.86/1.25 *** allocated 10000 integers for clauses
% 0.86/1.25 *** allocated 10000 integers for justifications
% 0.86/1.25 *** allocated 15000 integers for termspace/termends
% 0.86/1.25 Bliksem 1.12
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 Automatic Strategy Selection
% 0.86/1.25
% 0.86/1.25 Clauses:
% 0.86/1.25 [
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.86/1.25 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.86/1.25 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.86/1.25 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.86/1.25 , X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.86/1.25 , X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.86/1.25 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( U, Y, Z, T ) ) ),
% 0.86/1.25 =( hAPP( X, W ), hAPP( U, W ) ), ~( 'c_in'( W, 'c_List_Oset'( Y, Z ), Z )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.86/1.25 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.86/1.25 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.25 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.25 'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.86/1.25 X ) ) ), hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.86/1.25 ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( Z, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.86/1.25 Z, 'c_List_Oset'( 'c_ListApplication_Osko__ListApplication__Xlem__1__2'(
% 0.86/1.25 X ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, T ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( Z,
% 0.86/1.25 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, T ) ), ~( 'c_in'(
% 0.86/1.25 T, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 , X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.25 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.86/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.86/1.25 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.86/1.25 , X ), X ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.86/1.25 , X ), X ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.25 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.86/1.25 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.86/1.25 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.86/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.86/1.25 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 0.86/1.25 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.86/1.25 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.86/1.25 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X,
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.25 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, U, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.86/1.25 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.86/1.25 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.86/1.25 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.86/1.25 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 , X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.86/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.86/1.25 ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'( Z, T ), T ) ), ~(
% 0.86/1.25 'c_List_Olistsp'( X, Z, T ) ) ],
% 0.86/1.25 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.86/1.25 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.86/1.25 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.86/1.25 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.25 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.86/1.25 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.86/1.25 , Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 0.86/1.25 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.86/1.25 , Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 0.86/1.25 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.86/1.25 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.86/1.25 , Z, T ), T ), T ), T ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.25 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.86/1.25 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.86/1.25 'c_Suc'( Y ), Z, T ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.86/1.25 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.86/1.25 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.86/1.25 Y ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.86/1.25 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.86/1.25 ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.25 ), Z ), Y ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.86/1.25 hBOOL( hAPP( X, Z ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.86/1.25 hBOOL( hAPP( X, Z ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.25 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.86/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.25 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.25 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_Suc'( Z ), T, X ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, Z, hAPP( Y, T ), X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.86/1.25 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.86/1.25 Y ) ) ) ],
% 0.86/1.25 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( X, T ), ~( 'c_in'( X,
% 0.86/1.25 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.86/1.25 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.86/1.25 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.25 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Y ), Z ), Z, X ), Y ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.25 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.25 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ), Z, X ), Z ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.25 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.25 Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.86/1.25 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), T ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.86/1.25 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.86/1.25 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.86/1.25 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.86/1.25 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.25 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.86/1.25 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.86/1.25 Y, T, Z ), Z ) ) ],
% 0.86/1.25 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.86/1.25 T, Y, Z ), Z ) ) ],
% 0.86/1.25 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.86/1.25 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.86/1.25 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.86/1.25 =( X, T ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.86/1.25 =( Y, T ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.86/1.25 ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.86/1.25 ) ],
% 0.86/1.25 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.86/1.25 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.86/1.25 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.86/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.86/1.25 , T ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.25 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.86/1.25 ), Z ), U ) ) ) ],
% 0.86/1.25 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.86/1.25 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.86/1.25 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.25 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.86/1.25 X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL(
% 0.86/1.25 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.86/1.25 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.86/1.25 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.86/1.25 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.86/1.25 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 'tc_nat' ) ) ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 X, T, 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.25 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.86/1.25 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.86/1.25 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.86/1.25 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.86/1.25 , 'c_List_Olist_ONil'( T ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.25 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.25 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.25 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.25 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.25 X ), Y ) ],
% 0.86/1.25 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.86/1.25 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.86/1.25 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.86/1.25 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.86/1.25 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.86/1.25 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.86/1.25 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.86/1.25 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.86/1.25 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.86/1.25 'c_Type_Otypings'( X, T, U ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 0.86/1.25 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 0.86/1.25 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.86/1.25 U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.86/1.25 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat__aux'( 'c_COMBC'(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ), X, X, X )
% 0.86/1.25 , Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.86/1.25 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.86/1.25 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.86/1.25 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.86/1.25 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.86/1.25 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.86/1.25 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.86/1.25 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.25 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.86/1.25 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.86/1.25 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.25 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.25 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( X,
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( Z,
% 0.86/1.25 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( X,
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.86/1.25 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.86/1.25 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ), ~(
% 0.86/1.25 'c_in'( Y, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.86/1.25 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.86/1.25 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Z ) ), ~(
% 0.86/1.25 'c_in'( Z, 'c_List_Oset'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.25 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), T ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.25 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.86/1.25 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.86/1.25 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.86/1.25 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.25 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.86/1.25 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.86/1.25 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.25 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.25 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.86/1.25 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.86/1.25 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.86/1.25 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.86/1.25 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.86/1.25 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.25 , Y, X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.25 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.25 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.25 ), Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.25 ), Z ) ) ) ],
% 0.86/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.25 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.86/1.25 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.86/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.25 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.25 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.25 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.86/1.25 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.25 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.25 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.25 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.25 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.86/1.25 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.25 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.25 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.86/1.25 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.86/1.25 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.25 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.86/1.25 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.86/1.25 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.86/1.25 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.86/1.25 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.25 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.86/1.25 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.86/1.25 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.25 ), Z, X ) ) ],
% 0.86/1.25 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.25 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.86/1.25 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.86/1.25 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.86/1.25 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.86/1.25 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.86/1.25 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.25 X, T ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.86/1.25 X, T ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.86/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.86/1.25 , 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.86/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.86/1.25 , 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.25 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.25 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.86/1.25 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.25 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.86/1.25 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.86/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.25 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.25 Y ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.86/1.25 X ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.25 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.86/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.86/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.25 ), 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.25 ), 'tc_nat' ) ) ],
% 0.86/1.25 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.86/1.25 X ), Y ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.25 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.86/1.25 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.86/1.25 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.86/1.25 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.86/1.25 'tc_nat' ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.86/1.25 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.86/1.25 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.86/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.86/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.25 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.86/1.25 ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.25 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.25 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.25 , X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.25 , Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.25 , Y, X ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.86/1.25 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.86/1.25 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.25 ), Z ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.25 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.86/1.25 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.86/1.25 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 'tc_nat' ) ) ) ) ) ],
% 0.86/1.25 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.86/1.25 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.86/1.25 ), U ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.25 ), =( Z, Y ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.25 ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.86/1.25 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.25 T, X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.25 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.86/1.25 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.86/1.25 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.86/1.25 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.86/1.25 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.86/1.25 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.86/1.25 ), W ), W ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.25 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.86/1.25 ), Y, X ) ), =( Z, T ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.86/1.25 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.86/1.25 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.25 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.86/1.25 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.86/1.25 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.86/1.25 ), X ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.25 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 X ), T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.25 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 X ), T, X ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.86/1.25 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.86/1.25 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.25 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.86/1.25 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.25 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.86/1.25 ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.25 , Z ), Y ), 'tc_nat' ) ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.86/1.25 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.25 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.25 ) ), =( X, T ) ],
% 0.86/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.25 ) ), =( Y, U ) ],
% 0.86/1.25 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.86/1.25 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.86/1.25 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.86/1.25 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.86/1.25 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.86/1.25 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.25 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.86/1.25 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.86/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.25 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.25 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.25 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.25 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.86/1.25 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 0.86/1.25 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.25 'tc_nat' ) ) ) ) ) ],
% 0.86/1.25 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.86/1.25 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.86/1.25 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.25 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.25 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.25 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.25 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.25 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.25 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.25 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.25 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.86/1.25 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.25 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.86/1.25 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.25 Z, U ), W ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.25 Z, U ), W ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.86/1.25 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.25 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.86/1.25 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.86/1.25 , Z, U, W ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.25 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.25 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.86/1.25 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.86/1.25 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.86/1.25 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.86/1.25 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.86/1.25 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.25 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.25 ), Z ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.86/1.25 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.86/1.25 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.25 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.25 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.25 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.25 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.25 hAPP( Z, T ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.86/1.25 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.86/1.25 , Y ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.25 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.86/1.25 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.25 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.86/1.25 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.86/1.25 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.86/1.25 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.86/1.25 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.86/1.25 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.86/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.25 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.86/1.25 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.25 X, U ) ) ],
% 0.86/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.86/1.25 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.86/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.86/1.25 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.86/1.25 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.86/1.25 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.86/1.25 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.86/1.25 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.86/1.25 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.86/1.25 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.86/1.25 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.86/1.25 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.25 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.86/1.25 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.86/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.86/1.25 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), Z ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.86/1.25 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.86/1.25 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.86/1.25 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.86/1.25 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.86/1.25 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.86/1.25 , Z ) ) ],
% 0.86/1.25 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.86/1.25 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.86/1.25 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.86/1.25 X ), Y ) ), Z ), Y ), X ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.25 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.25 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.25 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.25 ) ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.25 hAPP( X, T ) ) ],
% 0.86/1.25 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.86/1.25 , Z ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.25 hAPP( X, T ) ) ],
% 0.86/1.25 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.86/1.25 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.25 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.86/1.25 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.25 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.86/1.25 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.86/1.25 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ), 'c_Wellfounded_Oaccp'(
% 0.86/1.25 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.86/1.25 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.25 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.25 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.25 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.86/1.25 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.86/1.25 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.25 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.86/1.25 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.25 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.25 'tc_nat' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.25 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.25 Z, X, 'tc_nat' ) ],
% 0.86/1.25 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.86/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.25 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.86/1.25 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.25 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.25 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.86/1.25 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), X ) ) ],
% 0.86/1.25 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.25 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.25 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.25 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.86/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.25 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.86/1.25 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.86/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.86/1.25 Z ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.25 Z ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.25 ), X ), Y ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.25 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.25 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.86/1.25 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.86/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.25 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.86/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.26 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.86/1.26 , Y ) ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.26 Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.26 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.86/1.26 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.26 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.86/1.26 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.26 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.86/1.26 , Y ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.86/1.26 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.86/1.26 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.26 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.86/1.26 Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r' ), 'v_s' ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_ss', 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.26 , 'v_r' ), 'v_s' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_ss',
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_s' ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'v_s' ), 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_Lambda_OdB_OAbs'( 'v_r' ) ), 'v_s' ), 'v_ss', 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) ) ) ],
% 0.86/1.26 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.26 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.26 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.26 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.86/1.26 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.86/1.26 ] .
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 percentage equality = 0.313333, percentage horn = 0.873823
% 0.86/1.26 This is a problem with some equality
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Options Used:
% 0.86/1.26
% 0.86/1.26 useres = 1
% 0.86/1.26 useparamod = 1
% 0.86/1.26 useeqrefl = 1
% 0.86/1.26 useeqfact = 1
% 0.86/1.26 usefactor = 1
% 0.86/1.26 usesimpsplitting = 0
% 0.86/1.26 usesimpdemod = 5
% 0.86/1.26 usesimpres = 3
% 0.86/1.26
% 0.86/1.26 resimpinuse = 1000
% 0.86/1.26 resimpclauses = 20000
% 0.86/1.26 substype = eqrewr
% 0.86/1.26 backwardsubs = 1
% 0.86/1.26 selectoldest = 5
% 0.86/1.26
% 0.86/1.26 litorderings [0] = split
% 0.86/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.26
% 0.86/1.26 termordering = kbo
% 0.86/1.26
% 0.86/1.26 litapriori = 0
% 0.86/1.26 termapriori = 1
% 0.86/1.26 litaposteriori = 0
% 0.86/1.26 termaposteriori = 0
% 0.86/1.26 demodaposteriori = 0
% 0.86/1.26 ordereqreflfact = 0
% 0.86/1.26
% 0.86/1.26 litselect = negord
% 0.86/1.26
% 0.86/1.26 maxweight = 15
% 0.86/1.26 maxdepth = 30000
% 0.86/1.26 maxlength = 115
% 0.86/1.26 maxnrvars = 195
% 0.86/1.26 excuselevel = 1
% 0.86/1.26 increasemaxweight = 1
% 0.86/1.26
% 0.86/1.26 maxselected = 10000000
% 0.86/1.26 maxnrclauses = 10000000
% 0.86/1.26
% 0.86/1.26 showgenerated = 0
% 0.86/1.26 showkept = 0
% 0.86/1.26 showselected = 0
% 0.86/1.26 showdeleted = 0
% 0.86/1.26 showresimp = 1
% 0.86/1.26 showstatus = 2000
% 0.86/1.26
% 0.86/1.26 prologoutput = 1
% 0.86/1.26 nrgoals = 5000000
% 0.86/1.26 totalproof = 1
% 0.86/1.26
% 0.86/1.26 Symbols occurring in the translation:
% 0.86/1.26
% 0.86/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.26 . [1, 2] (w:1, o:160, a:1, s:1, b:0),
% 0.86/1.26 ! [4, 1] (w:0, o:98, a:1, s:1, b:0),
% 0.86/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:105, a:1
% 0.86/1.26 , s:1, b:0),
% 0.86/1.26 'c_lessequals' [43, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.86/1.26 'c_Suc' [46, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.86/1.26 'c_Power_Opower__class_Opower' [47, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.86/1.26 'c_Type_Oshift' [51, 4] (w:1, o:208, a:1, s:1, b:0),
% 0.86/1.26 hAPP [53, 2] (w:1, o:185, a:1, s:1, b:0),
% 0.86/1.26 'tc_nat' [54, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Oord__class_Oless' [55, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.86/1.26 'class_Orderings_Oorder' [56, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.86/1.26 'class_Orderings_Opreorder' [60, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.86/1.26 'class_OrderedGroup_Opordered__ab__group__add' [61, 1] (w:1, o:111
% 0.86/1.26 , a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus' [62, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Ominus__class_Ominus' [66, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.86/1.26 'c_List_Omap' [70, 4] (w:1, o:209, a:1, s:1, b:0),
% 0.86/1.26 'c_List_Oset' [72, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.86/1.26 'c_in' [73, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.86/1.26 'class_Orderings_Olinorder' [76, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Oone__class_Oone' [77, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [79, 1] (w:1
% 0.86/1.26 , o:117, a:1, s:1, b:0),
% 0.86/1.26 hBOOL [80, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__Xlem__1__2' [81, 1] (w:1
% 0.86/1.26 , o:116, a:1, s:1, b:0),
% 0.86/1.26 'tc_Lambda_OdB' [82, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [84, 1
% 0.86/1.26 ] (w:1, o:121, a:1, s:1, b:0),
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [85, 1
% 0.86/1.26 ] (w:1, o:120, a:1, s:1, b:0),
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__Xlem__1__4' [87, 1] (w:1
% 0.86/1.26 , o:122, a:1, s:1, b:0),
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4' [88, 1
% 0.86/1.26 ] (w:1, o:123, a:1, s:1, b:0),
% 0.86/1.26 'class_OrderedGroup_Opordered__comm__monoid__add' [89, 1] (w:1, o:124
% 0.86/1.26 , a:1, s:1, b:0),
% 0.86/1.26 'class_OrderedGroup_Olordered__ab__group__add' [90, 1] (w:1, o:125
% 3.81/4.21 , a:1, s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [91, 1]
% 3.81/4.21 (w:1, o:126, a:1, s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Ocomm__monoid__add' [92, 1] (w:1, o:127, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [93, 1]
% 3.81/4.21 (w:1, o:128, a:1, s:1, b:0),
% 3.81/4.21 'c_Nat_Osemiring__1__class_Oof__nat' [94, 2] (w:1, o:187, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'class_Ring__and__Field_Osemiring__0' [95, 1] (w:1, o:130, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'class_Power_Opower' [96, 1] (w:1, o:140, a:1, s:1, b:0),
% 3.81/4.21 'c_Type_Otyping' [101, 3] (w:1, o:198, a:1, s:1, b:0),
% 3.81/4.21 'tc_Type_Otype' [102, 0] (w:1, o:69, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_Osubst' [103, 0] (w:1, o:70, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_Olift' [104, 0] (w:1, o:71, a:1, s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Opordered__ab__semigroup__add' [105, 1] (w:1, o:
% 3.81/4.21 131, a:1, s:1, b:0),
% 3.81/4.21 'c_List_Olistsp' [107, 3] (w:1, o:199, a:1, s:1, b:0),
% 3.81/4.21 'c_List_Olist_OCons' [109, 3] (w:1, o:200, a:1, s:1, b:0),
% 3.81/4.21 'c_List_Oappend' [110, 3] (w:1, o:201, a:1, s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Ogroup__add' [114, 1] (w:1, o:132, a:1, s:1, b:0)
% 3.81/4.21 ,
% 3.81/4.21 'class_Ring__and__Field_Osemiring__1' [116, 1] (w:1, o:141, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'c_Nat_Osemiring__1__class_Oof__nat__aux' [118, 4] (w:1, o:210, a:1
% 3.81/4.21 , s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Oab__group__add' [119, 1] (w:1, o:133, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'class_Ring__and__Field_Oidom' [120, 1] (w:1, o:142, a:1, s:1, b:0),
% 3.81/4.21
% 3.81/4.21 'class_Int_Onumber__ring' [121, 1] (w:1, o:143, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_Oliftn' [122, 3] (w:1, o:202, a:1, s:1, b:0),
% 3.81/4.21 'class_Ring__and__Field_Ocomm__semiring__1' [123, 1] (w:1, o:144, a:1
% 3.81/4.21 , s:1, b:0),
% 3.81/4.21 'c_ListOrder_Ostep1' [126, 4] (w:1, o:211, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_Obeta' [129, 0] (w:1, o:78, a:1, s:1, b:0),
% 3.81/4.21 'c_Transitive__Closure_Ortranclp' [130, 2] (w:1, o:188, a:1, s:1, b:0
% 3.81/4.21 ),
% 3.81/4.21 'c_Lambda_OdB_OAbs' [132, 1] (w:1, o:145, a:1, s:1, b:0),
% 3.81/4.21 'c_List_Olist_ONil' [134, 1] (w:1, o:146, a:1, s:1, b:0),
% 3.81/4.21 'c_Wellfounded_Oaccp' [136, 3] (w:1, o:203, a:1, s:1, b:0),
% 3.81/4.21 'c_Predicate_Oconversep' [137, 3] (w:1, o:204, a:1, s:1, b:0),
% 3.81/4.21 'c_InductTermi_OIT' [138, 0] (w:1, o:80, a:1, s:1, b:0),
% 3.81/4.21 'v_sko__InductTermi__XIT__Xcases__5' [139, 1] (w:1, o:148, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'v_sko__InductTermi__XIT__Xcases__3' [140, 1] (w:1, o:150, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'v_sko__InductTermi__XIT__Xcases__1' [141, 1] (w:1, o:151, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'c_Lambda_Osubstn' [143, 3] (w:1, o:205, a:1, s:1, b:0),
% 3.81/4.21 'class_Nat_Osemiring__char__0' [144, 1] (w:1, o:108, a:1, s:1, b:0),
% 3.81/4.21
% 3.81/4.21 'tc_fun' [145, 2] (w:1, o:189, a:1, s:1, b:0),
% 3.81/4.21 'c_COMBC' [146, 5] (w:1, o:217, a:1, s:1, b:0),
% 3.81/4.21 'c_Type_Otypings' [149, 3] (w:1, o:206, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_OdB_OdB__size' [152, 1] (w:1, o:152, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_OdB_OApp' [153, 0] (w:1, o:83, a:1, s:1, b:0),
% 3.81/4.21 'c_Lambda_OdB_OVar' [156, 1] (w:1, o:153, a:1, s:1, b:0),
% 3.81/4.21 'c_Nat_Osize__class_Osize' [157, 2] (w:1, o:190, a:1, s:1, b:0),
% 3.81/4.21 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [158, 4] (w:1, o:213, a:
% 3.81/4.21 1, s:1, b:0),
% 3.81/4.21 'c_List_Ofoldl' [159, 5] (w:1, o:218, a:1, s:1, b:0),
% 3.81/4.21 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [160, 4] (w:1, o:212, a:
% 3.81/4.21 1, s:1, b:0),
% 3.81/4.21 'c_ListApplication_Osko__ListApplication__Xlem__1__1' [161, 1] (w:1
% 3.81/4.21 , o:115, a:1, s:1, b:0),
% 3.81/4.21 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [162, 1
% 3.81/4.21 ] (w:1, o:119, a:1, s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Oab__semigroup__add' [163, 1] (w:1, o:134, a:1
% 3.81/4.21 , s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Omonoid__mult' [166, 1] (w:1, o:135, a:1, s:1, b:
% 3.81/4.21 0),
% 3.81/4.21 'v_sko__InductTermi__XIT__Xcases__4' [171, 1] (w:1, o:147, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'v_sko__InductTermi__XIT__Xcases__6' [172, 1] (w:1, o:154, a:1, s:1
% 3.81/4.21 , b:0),
% 3.81/4.21 'class_OrderedGroup_Ocancel__ab__semigroup__add' [173, 1] (w:1, o:136
% 3.81/4.21 , a:1, s:1, b:0),
% 3.81/4.21 'class_OrderedGroup_Ocancel__semigroup__add' [174, 1] (w:1, o:137, a:
% 24.01/24.38 1, s:1, b:0),
% 24.01/24.38 'c_OrderedGroup_Omonoid__add' [180, 3] (w:1, o:193, a:1, s:1, b:0),
% 24.01/24.38 'v_sko__InductTermi__XIT__Xcases__2' [181, 1] (w:1, o:149, a:1, s:1
% 24.01/24.38 , b:0),
% 24.01/24.38 'class_Ring__and__Field_Ozero__neq__one' [182, 1] (w:1, o:155, a:1
% 24.01/24.38 , s:1, b:0),
% 24.01/24.38 'class_Ring__and__Field_Ono__zero__divisors' [183, 1] (w:1, o:104, a:
% 24.01/24.38 1, s:1, b:0),
% 24.01/24.38 'class_Ring__and__Field_Omult__zero' [184, 1] (w:1, o:103, a:1, s:1
% 24.01/24.38 , b:0),
% 24.01/24.38 'class_Ring__and__Field_Oring__1__no__zero__divisors' [185, 1] (w:1
% 24.01/24.38 , o:129, a:1, s:1, b:0),
% 24.01/24.38 'class_OrderedGroup_Omonoid__add' [186, 1] (w:1, o:138, a:1, s:1, b:0
% 24.01/24.38 ),
% 24.01/24.38 'class_Ring__and__Field_Oordered__idom' [187, 1] (w:1, o:156, a:1, s:
% 24.01/24.38 1, b:0),
% 24.01/24.38 'c_fequal' [188, 1] (w:1, o:157, a:1, s:1, b:0),
% 24.01/24.38 'c_OrderedGroup_Osemigroup__add' [189, 2] (w:1, o:191, a:1, s:1, b:0)
% 24.01/24.38 ,
% 24.01/24.38 'class_OrderedGroup_Osemigroup__add' [190, 1] (w:1, o:139, a:1, s:1
% 24.01/24.38 , b:0),
% 24.01/24.38 't_a' [196, 0] (w:1, o:88, a:1, s:1, b:0),
% 24.01/24.38 'c_Lambda_OdB_OdB__case' [197, 5] (w:1, o:219, a:1, s:1, b:0),
% 24.01/24.38 'c_Lambda_OdB_OdB__rec' [198, 5] (w:1, o:220, a:1, s:1, b:0),
% 24.01/24.38 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 24.01/24.38 201, 4] (w:1, o:214, a:1, s:1, b:0),
% 24.01/24.38 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [202, 1
% 24.01/24.38 ] (w:1, o:159, a:1, s:1, b:0),
% 24.01/24.38 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [203, 1
% 24.01/24.38 ] (w:1, o:158, a:1, s:1, b:0),
% 24.01/24.38 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [204, 4] (w:1, o:215, a:
% 24.01/24.38 1, s:1, b:0),
% 24.01/24.38 'c_Type_Osko__Type__Xvar__app__types__1__1' [205, 4] (w:1, o:216, a:1
% 24.01/24.38 , s:1, b:0),
% 24.01/24.38 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [206, 3] (w:
% 24.01/24.38 1, o:207, a:1, s:1, b:0),
% 24.01/24.38 'v_r' [212, 0] (w:1, o:89, a:1, s:1, b:0),
% 24.01/24.38 'v_s' [213, 0] (w:1, o:90, a:1, s:1, b:0),
% 24.01/24.38 'v_ss' [214, 0] (w:1, o:91, a:1, s:1, b:0),
% 24.01/24.38 'v_i' [215, 0] (w:1, o:92, a:1, s:1, b:0),
% 24.01/24.38 'tc_bool' [218, 0] (w:1, o:95, a:1, s:1, b:0).
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Starting Search:
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 5438
% 24.01/24.38 Kept: 2017
% 24.01/24.38 Inuse: 154
% 24.01/24.38 Deleted: 7
% 24.01/24.38 Deletedinuse: 0
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 14833
% 24.01/24.38 Kept: 4309
% 24.01/24.38 Inuse: 212
% 24.01/24.38 Deleted: 7
% 24.01/24.38 Deletedinuse: 0
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 22735
% 24.01/24.38 Kept: 6351
% 24.01/24.38 Inuse: 311
% 24.01/24.38 Deleted: 15
% 24.01/24.38 Deletedinuse: 0
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 29917
% 24.01/24.38 Kept: 8354
% 24.01/24.38 Inuse: 366
% 24.01/24.38 Deleted: 16
% 24.01/24.38 Deletedinuse: 1
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 43283
% 24.01/24.38 Kept: 11007
% 24.01/24.38 Inuse: 425
% 24.01/24.38 Deleted: 22
% 24.01/24.38 Deletedinuse: 6
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 55760
% 24.01/24.38 Kept: 13178
% 24.01/24.38 Inuse: 488
% 24.01/24.38 Deleted: 32
% 24.01/24.38 Deletedinuse: 10
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 69556
% 24.01/24.38 Kept: 15562
% 24.01/24.38 Inuse: 536
% 24.01/24.38 Deleted: 36
% 24.01/24.38 Deletedinuse: 11
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 82906
% 24.01/24.38 Kept: 17606
% 24.01/24.38 Inuse: 556
% 24.01/24.38 Deleted: 37
% 24.01/24.38 Deletedinuse: 12
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 95462
% 24.01/24.38 Kept: 20151
% 24.01/24.38 Inuse: 591
% 24.01/24.38 Deleted: 38
% 24.01/24.38 Deletedinuse: 13
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying clauses:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 106129
% 24.01/24.38 Kept: 22693
% 24.01/24.38 Inuse: 601
% 24.01/24.38 Deleted: 602
% 24.01/24.38 Deletedinuse: 13
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 119078
% 24.01/24.38 Kept: 24766
% 24.01/24.38 Inuse: 622
% 24.01/24.38 Deleted: 637
% 24.01/24.38 Deletedinuse: 14
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38 Resimplifying inuse:
% 24.01/24.38 Done
% 24.01/24.38
% 24.01/24.38
% 24.01/24.38 Intermediate Status:
% 24.01/24.38 Generated: 140954
% 24.01/24.38 Kept: 27947
% 24.01/24.38 Inuse: 644
% 24.01/24.38 Deleted: 676
% 24.01/24.38 Deletedinuse: 15
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 155191
% 61.66/62.07 Kept: 30016
% 61.66/62.07 Inuse: 656
% 61.66/62.07 Deleted: 680
% 61.66/62.07 Deletedinuse: 15
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 165727
% 61.66/62.07 Kept: 32051
% 61.66/62.07 Inuse: 680
% 61.66/62.07 Deleted: 680
% 61.66/62.07 Deletedinuse: 15
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 181250
% 61.66/62.07 Kept: 34121
% 61.66/62.07 Inuse: 720
% 61.66/62.07 Deleted: 681
% 61.66/62.07 Deletedinuse: 16
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 193186
% 61.66/62.07 Kept: 36189
% 61.66/62.07 Inuse: 735
% 61.66/62.07 Deleted: 681
% 61.66/62.07 Deletedinuse: 16
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 207623
% 61.66/62.07 Kept: 38508
% 61.66/62.07 Inuse: 750
% 61.66/62.07 Deleted: 681
% 61.66/62.07 Deletedinuse: 16
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 221754
% 61.66/62.07 Kept: 41306
% 61.66/62.07 Inuse: 778
% 61.66/62.07 Deleted: 681
% 61.66/62.07 Deletedinuse: 16
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying clauses:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 237746
% 61.66/62.07 Kept: 43321
% 61.66/62.07 Inuse: 813
% 61.66/62.07 Deleted: 994
% 61.66/62.07 Deletedinuse: 17
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 260465
% 61.66/62.07 Kept: 45535
% 61.66/62.07 Inuse: 840
% 61.66/62.07 Deleted: 995
% 61.66/62.07 Deletedinuse: 18
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 275171
% 61.66/62.07 Kept: 47698
% 61.66/62.07 Inuse: 865
% 61.66/62.07 Deleted: 996
% 61.66/62.07 Deletedinuse: 19
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 287682
% 61.66/62.07 Kept: 49718
% 61.66/62.07 Inuse: 910
% 61.66/62.07 Deleted: 999
% 61.66/62.07 Deletedinuse: 20
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 300235
% 61.66/62.07 Kept: 52043
% 61.66/62.07 Inuse: 943
% 61.66/62.07 Deleted: 1000
% 61.66/62.07 Deletedinuse: 21
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 321934
% 61.66/62.07 Kept: 54649
% 61.66/62.07 Inuse: 953
% 61.66/62.07 Deleted: 1000
% 61.66/62.07 Deletedinuse: 21
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 354653
% 61.66/62.07 Kept: 57504
% 61.66/62.07 Inuse: 968
% 61.66/62.07 Deleted: 1000
% 61.66/62.07 Deletedinuse: 21
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 375234
% 61.66/62.07 Kept: 60313
% 61.66/62.07 Inuse: 978
% 61.66/62.07 Deleted: 1001
% 61.66/62.07 Deletedinuse: 22
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying clauses:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 389207
% 61.66/62.07 Kept: 62320
% 61.66/62.07 Inuse: 1007
% 61.66/62.07 Deleted: 1207
% 61.66/62.07 Deletedinuse: 22
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 412041
% 61.66/62.07 Kept: 66106
% 61.66/62.07 Inuse: 1018
% 61.66/62.07 Deleted: 1382
% 61.66/62.07 Deletedinuse: 197
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 420724
% 61.66/62.07 Kept: 68571
% 61.66/62.07 Inuse: 1048
% 61.66/62.07 Deleted: 1382
% 61.66/62.07 Deletedinuse: 197
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 434619
% 61.66/62.07 Kept: 71643
% 61.66/62.07 Inuse: 1063
% 61.66/62.07 Deleted: 1382
% 61.66/62.07 Deletedinuse: 197
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 445777
% 61.66/62.07 Kept: 74016
% 61.66/62.07 Inuse: 1073
% 61.66/62.07 Deleted: 1383
% 61.66/62.07 Deletedinuse: 198
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 456034
% 61.66/62.07 Kept: 76091
% 61.66/62.07 Inuse: 1107
% 61.66/62.07 Deleted: 1385
% 61.66/62.07 Deletedinuse: 199
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 469731
% 61.66/62.07 Kept: 79067
% 61.66/62.07 Inuse: 1122
% 61.66/62.07 Deleted: 1385
% 61.66/62.07 Deletedinuse: 199
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 479883
% 61.66/62.07 Kept: 81106
% 61.66/62.07 Inuse: 1140
% 61.66/62.07 Deleted: 1387
% 61.66/62.07 Deletedinuse: 199
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying clauses:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 490417
% 61.66/62.07 Kept: 83292
% 61.66/62.07 Inuse: 1165
% 61.66/62.07 Deleted: 6427
% 61.66/62.07 Deletedinuse: 199
% 61.66/62.07
% 61.66/62.07 Resimplifying inuse:
% 61.66/62.07 Done
% 61.66/62.07
% 61.66/62.07
% 61.66/62.07 Intermediate Status:
% 61.66/62.07 Generated: 502668
% 61.66/62.07 Kept: 85720
% 61.66/62.07 Inuse: 1175
% 136.92/137.43 Deleted: 6427
% 136.92/137.43 Deletedinuse: 199
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 514259
% 136.92/137.43 Kept: 89106
% 136.92/137.43 Inuse: 1185
% 136.92/137.43 Deleted: 6427
% 136.92/137.43 Deletedinuse: 199
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 526213
% 136.92/137.43 Kept: 91359
% 136.92/137.43 Inuse: 1205
% 136.92/137.43 Deleted: 6428
% 136.92/137.43 Deletedinuse: 200
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 537106
% 136.92/137.43 Kept: 93473
% 136.92/137.43 Inuse: 1210
% 136.92/137.43 Deleted: 6428
% 136.92/137.43 Deletedinuse: 200
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 555360
% 136.92/137.43 Kept: 95642
% 136.92/137.43 Inuse: 1230
% 136.92/137.43 Deleted: 6428
% 136.92/137.43 Deletedinuse: 200
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 579152
% 136.92/137.43 Kept: 98283
% 136.92/137.43 Inuse: 1240
% 136.92/137.43 Deleted: 6428
% 136.92/137.43 Deletedinuse: 200
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 591354
% 136.92/137.43 Kept: 100515
% 136.92/137.43 Inuse: 1250
% 136.92/137.43 Deleted: 6428
% 136.92/137.43 Deletedinuse: 200
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying clauses:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 600898
% 136.92/137.43 Kept: 102607
% 136.92/137.43 Inuse: 1264
% 136.92/137.43 Deleted: 6976
% 136.92/137.43 Deletedinuse: 200
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 643949
% 136.92/137.43 Kept: 108176
% 136.92/137.43 Inuse: 1280
% 136.92/137.43 Deleted: 6977
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 661495
% 136.92/137.43 Kept: 110241
% 136.92/137.43 Inuse: 1290
% 136.92/137.43 Deleted: 6977
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 679315
% 136.92/137.43 Kept: 112553
% 136.92/137.43 Inuse: 1320
% 136.92/137.43 Deleted: 6977
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 691181
% 136.92/137.43 Kept: 115700
% 136.92/137.43 Inuse: 1335
% 136.92/137.43 Deleted: 6977
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 698101
% 136.92/137.43 Kept: 118138
% 136.92/137.43 Inuse: 1340
% 136.92/137.43 Deleted: 6977
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 705962
% 136.92/137.43 Kept: 120141
% 136.92/137.43 Inuse: 1357
% 136.92/137.43 Deleted: 6977
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying clauses:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 715418
% 136.92/137.43 Kept: 122415
% 136.92/137.43 Inuse: 1375
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 724795
% 136.92/137.43 Kept: 124505
% 136.92/137.43 Inuse: 1390
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 751802
% 136.92/137.43 Kept: 127997
% 136.92/137.43 Inuse: 1400
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 774352
% 136.92/137.43 Kept: 131205
% 136.92/137.43 Inuse: 1425
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 795104
% 136.92/137.43 Kept: 133570
% 136.92/137.43 Inuse: 1440
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 809894
% 136.92/137.43 Kept: 135583
% 136.92/137.43 Inuse: 1465
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 825203
% 136.92/137.43 Kept: 138001
% 136.92/137.43 Inuse: 1490
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 835569
% 136.92/137.43 Kept: 140030
% 136.92/137.43 Inuse: 1504
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 850748
% 136.92/137.43 Kept: 142285
% 136.92/137.43 Inuse: 1525
% 136.92/137.43 Deleted: 7229
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying clauses:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 862964
% 136.92/137.43 Kept: 144287
% 136.92/137.43 Inuse: 1542
% 136.92/137.43 Deleted: 7266
% 136.92/137.43 Deletedinuse: 201
% 136.92/137.43
% 136.92/137.43 Resimplifying inuse:
% 136.92/137.43 Done
% 136.92/137.43
% 136.92/137.43
% 136.92/137.43 Intermediate Status:
% 136.92/137.43 Generated: 877750
% 136.92/137.43 Kept: 146851
% 136.92/137.43 Inuse: 1550
% 262.46/263.07 Deleted: 7266
% 262.46/263.07 Deletedinuse: 201
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 894617
% 262.46/263.07 Kept: 149318
% 262.46/263.07 Inuse: 1575
% 262.46/263.07 Deleted: 7266
% 262.46/263.07 Deletedinuse: 201
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 908084
% 262.46/263.07 Kept: 151817
% 262.46/263.07 Inuse: 1590
% 262.46/263.07 Deleted: 7267
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 921479
% 262.46/263.07 Kept: 153846
% 262.46/263.07 Inuse: 1607
% 262.46/263.07 Deleted: 7267
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 932350
% 262.46/263.07 Kept: 156365
% 262.46/263.07 Inuse: 1620
% 262.46/263.07 Deleted: 7267
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 950797
% 262.46/263.07 Kept: 160943
% 262.46/263.07 Inuse: 1635
% 262.46/263.07 Deleted: 7267
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 960024
% 262.46/263.07 Kept: 162974
% 262.46/263.07 Inuse: 1650
% 262.46/263.07 Deleted: 7267
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying clauses:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 974555
% 262.46/263.07 Kept: 165544
% 262.46/263.07 Inuse: 1660
% 262.46/263.07 Deleted: 7399
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 986645
% 262.46/263.07 Kept: 167572
% 262.46/263.07 Inuse: 1670
% 262.46/263.07 Deleted: 7399
% 262.46/263.07 Deletedinuse: 202
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 996050
% 262.46/263.07 Kept: 169659
% 262.46/263.07 Inuse: 1685
% 262.46/263.07 Deleted: 7400
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1019882
% 262.46/263.07 Kept: 173631
% 262.46/263.07 Inuse: 1695
% 262.46/263.07 Deleted: 7400
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1034034
% 262.46/263.07 Kept: 175956
% 262.46/263.07 Inuse: 1705
% 262.46/263.07 Deleted: 7400
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1053687
% 262.46/263.07 Kept: 178193
% 262.46/263.07 Inuse: 1711
% 262.46/263.07 Deleted: 7400
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1063321
% 262.46/263.07 Kept: 180278
% 262.46/263.07 Inuse: 1715
% 262.46/263.07 Deleted: 7400
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1074190
% 262.46/263.07 Kept: 182308
% 262.46/263.07 Inuse: 1730
% 262.46/263.07 Deleted: 7400
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying clauses:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1094756
% 262.46/263.07 Kept: 184320
% 262.46/263.07 Inuse: 1736
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1115559
% 262.46/263.07 Kept: 186320
% 262.46/263.07 Inuse: 1742
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1129832
% 262.46/263.07 Kept: 189363
% 262.46/263.07 Inuse: 1750
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1150099
% 262.46/263.07 Kept: 191685
% 262.46/263.07 Inuse: 1755
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1170658
% 262.46/263.07 Kept: 193702
% 262.46/263.07 Inuse: 1760
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1190663
% 262.46/263.07 Kept: 195809
% 262.46/263.07 Inuse: 1765
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1210841
% 262.46/263.07 Kept: 197929
% 262.46/263.07 Inuse: 1770
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1223031
% 262.46/263.07 Kept: 200278
% 262.46/263.07 Inuse: 1775
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1254372
% 262.46/263.07 Kept: 203816
% 262.46/263.07 Inuse: 1790
% 262.46/263.07 Deleted: 7493
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying clauses:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1263164
% 262.46/263.07 Kept: 205919
% 262.46/263.07 Inuse: 1802
% 262.46/263.07 Deleted: 7572
% 262.46/263.07 Deletedinuse: 203
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07 Resimplifying inuse:
% 262.46/263.07 Done
% 262.46/263.07
% 262.46/263.07
% 262.46/263.07 Intermediate Status:
% 262.46/263.07 Generated: 1280568
% 262.46/263.07 Kept: 208979
% 262.46/263.07 Inuse:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------