TSTP Solution File: LCL757-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL757-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:57:35 EDT 2022
% Result : Timeout 300.03s 300.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL757-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 17:24:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.27 *** allocated 10000 integers for termspace/termends
% 0.91/1.27 *** allocated 10000 integers for clauses
% 0.91/1.27 *** allocated 10000 integers for justifications
% 0.91/1.27 *** allocated 15000 integers for termspace/termends
% 0.91/1.27 Bliksem 1.12
% 0.91/1.27
% 0.91/1.27
% 0.91/1.27 Automatic Strategy Selection
% 0.91/1.27
% 0.91/1.27 Clauses:
% 0.91/1.27 [
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.91/1.27 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.91/1.27 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.91/1.27 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.27 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.91/1.27 , X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.91/1.27 , X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.91/1.27 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( U, Y, Z, T ) ) ),
% 0.91/1.27 =( hAPP( X, W ), hAPP( U, W ) ), ~( 'c_in'( W, 'c_List_Oset'( Y, Z ), Z )
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.27 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.27 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.91/1.27 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.91/1.27 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.27 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.27 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.27 'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.91/1.27 X ) ) ), hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.91/1.27 ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( Z, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.91/1.27 Z, 'c_List_Oset'( 'c_ListApplication_Osko__ListApplication__Xlem__1__2'(
% 0.91/1.27 X ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, T ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( Z,
% 0.91/1.27 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, T ) ), ~( 'c_in'(
% 0.91/1.27 T, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 , X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.27 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.91/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.91/1.27 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.91/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.91/1.27 , X ), X ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.91/1.27 , X ), X ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.27 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.27 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.27 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.91/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.91/1.27 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.91/1.27 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 0.91/1.27 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.91/1.27 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.91/1.27 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X,
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.27 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, U, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.91/1.27 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.91/1.27 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.91/1.27 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.91/1.27 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 , X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.27 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.91/1.27 ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'( Z, T ), T ) ), ~(
% 0.91/1.27 'c_List_Olistsp'( X, Z, T ) ) ],
% 0.91/1.27 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.91/1.27 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.91/1.27 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.91/1.27 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.27 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.91/1.27 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.91/1.27 , Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 0.91/1.27 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.91/1.27 , Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 0.91/1.27 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.91/1.27 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.91/1.27 , Z, T ), T ), T ), T ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.27 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.91/1.27 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.91/1.27 'c_Suc'( Y ), Z, T ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.27 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.91/1.27 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.91/1.27 Y ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.91/1.27 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.91/1.27 ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.27 ), Z ), Y ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.91/1.27 hBOOL( hAPP( X, Z ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.91/1.27 hBOOL( hAPP( X, Z ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.91/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.27 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.91/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.27 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.27 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_Suc'( Z ), T, X ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, Z, hAPP( Y, T ), X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.91/1.27 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.91/1.27 Y ) ) ) ],
% 0.91/1.27 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( X, T ), ~( 'c_in'( X,
% 0.91/1.27 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.91/1.27 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.91/1.27 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.27 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Y ), Z ), Z, X ), Y ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.27 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.27 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 ) ), =( Y, Z ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 ) ), =( Y, Z ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ), Z, X ), Z ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.91/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.27 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.27 Z, T, X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.91/1.27 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), T ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.91/1.27 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.91/1.27 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.91/1.27 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.91/1.27 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.91/1.27 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.91/1.27 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.91/1.27 Y, T, Z ), Z ) ) ],
% 0.91/1.27 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.91/1.27 T, Y, Z ), Z ) ) ],
% 0.91/1.27 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.91/1.27 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.91/1.27 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.91/1.27 =( X, T ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.91/1.27 =( Y, T ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.91/1.27 ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.91/1.27 ) ],
% 0.91/1.27 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.91/1.27 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.91/1.27 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.91/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.91/1.27 , T ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.91/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.91/1.27 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.91/1.27 ), Z ), U ) ) ) ],
% 0.91/1.27 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.91/1.27 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.91/1.27 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.91/1.27 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.91/1.27 X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL(
% 0.91/1.27 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.91/1.27 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.91/1.27 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.91/1.27 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.91/1.27 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.91/1.27 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 'tc_nat' ) ) ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 X, T, 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.91/1.27 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.91/1.27 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.91/1.27 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.91/1.27 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.91/1.27 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.91/1.27 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.91/1.27 , 'c_List_Olist_ONil'( T ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.91/1.27 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.91/1.27 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.91/1.27 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.91/1.27 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.91/1.27 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.91/1.27 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.27 X ), Y ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.27 X ), Y ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.91/1.27 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.91/1.27 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.91/1.27 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.91/1.27 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.91/1.27 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.91/1.27 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.91/1.27 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.91/1.27 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.91/1.27 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.91/1.27 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.91/1.27 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.91/1.27 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.91/1.27 'c_Type_Otypings'( X, T, U ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 0.91/1.27 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 0.91/1.27 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.91/1.27 U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.27 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat__aux'( 'c_COMBC'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ), X, X, X )
% 0.91/1.27 , Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.91/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.91/1.27 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.91/1.27 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ) ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.91/1.27 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.91/1.27 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.91/1.27 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.91/1.27 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.91/1.27 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.91/1.27 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.91/1.27 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.91/1.27 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.91/1.27 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.91/1.27 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( X,
% 0.91/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( Z,
% 0.91/1.27 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( X,
% 0.91/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.91/1.27 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.91/1.27 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.27 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ), ~(
% 0.91/1.27 'c_in'( Y, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.91/1.27 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.91/1.27 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Z ) ), ~(
% 0.91/1.27 'c_in'( Z, 'c_List_Oset'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.27 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), T ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.27 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.91/1.27 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.91/1.27 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.91/1.27 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.27 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.91/1.27 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.91/1.27 'c_List_Olist_ONil'( Z ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.91/1.27 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.91/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.91/1.27 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.91/1.27 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.91/1.27 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.91/1.27 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.91/1.27 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.91/1.27 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.91/1.27 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.27 , Y, X ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.91/1.27 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.91/1.27 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.91/1.27 ), Z ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.91/1.27 ), Z ) ) ) ],
% 0.91/1.27 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.91/1.27 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.91/1.27 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.91/1.27 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.91/1.27 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.91/1.27 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.27 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.91/1.27 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.91/1.27 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.91/1.27 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.91/1.27 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.91/1.27 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.91/1.27 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.91/1.27 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.91/1.27 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.91/1.27 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.91/1.27 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.91/1.27 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.91/1.27 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.91/1.27 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.91/1.27 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.91/1.27 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.91/1.27 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.91/1.27 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.91/1.27 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.91/1.27 ), Z, X ) ) ],
% 0.91/1.27 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.91/1.27 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.91/1.27 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.91/1.27 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.91/1.27 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.91/1.27 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.91/1.27 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.91/1.27 X, T ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.91/1.27 X, T ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.91/1.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.91/1.27 , 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.91/1.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.91/1.27 , 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.27 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.91/1.27 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.91/1.27 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.27 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.91/1.27 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.27 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.91/1.27 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.91/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.27 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.91/1.27 Y ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.91/1.27 X ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.27 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.91/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.91/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.27 ), 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.27 ), 'tc_nat' ) ) ],
% 0.91/1.27 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.91/1.27 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.91/1.27 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.91/1.27 'tc_nat' ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.91/1.27 , 'c_List_Olist_ONil'( X ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.91/1.27 , 'c_List_Olist_ONil'( X ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.91/1.27 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.91/1.27 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.91/1.27 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.91/1.27 ) ],
% 0.91/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.91/1.27 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.91/1.27 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.27 , X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.27 , Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.27 , Y, X ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.91/1.27 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.91/1.27 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.91/1.27 ), Z ) ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.91/1.27 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.91/1.27 ) ],
% 0.91/1.27 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.91/1.27 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.91/1.27 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.91/1.27 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 'tc_nat' ) ) ) ) ) ],
% 0.91/1.27 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.91/1.27 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.91/1.27 ), U ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.27 ), =( Z, Y ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.27 ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.91/1.27 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.27 T, X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.91/1.27 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.91/1.27 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.91/1.27 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.27 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.91/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.27 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.91/1.27 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.91/1.27 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.91/1.27 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.91/1.27 ), W ), W ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.27 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.91/1.27 ), Y, X ) ), =( Z, T ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.27 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.91/1.27 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.91/1.27 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.27 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.91/1.27 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.91/1.27 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.91/1.27 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.91/1.27 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.91/1.27 ), X ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.27 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 X ), T, X ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.27 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 X ), T, X ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.91/1.27 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.91/1.27 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.91/1.27 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.91/1.27 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.91/1.27 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.91/1.27 ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.91/1.27 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.91/1.27 , Z ), Y ), 'tc_nat' ) ) ],
% 0.91/1.27 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.91/1.27 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.91/1.27 ],
% 0.91/1.27 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.91/1.27 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.91/1.27 ) ), =( X, T ) ],
% 0.91/1.27 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.91/1.27 ) ), =( Y, U ) ],
% 0.91/1.27 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.91/1.27 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.91/1.27 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.91/1.27 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.91/1.27 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.91/1.27 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.91/1.27 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.91/1.27 ) ) ],
% 0.91/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.91/1.27 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.91/1.27 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.91/1.27 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.91/1.27 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.91/1.27 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.91/1.27 ) ],
% 0.91/1.27 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.91/1.27 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.91/1.27 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.91/1.27 ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.91/1.27 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 0.91/1.27 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.27 'tc_nat' ) ) ) ) ) ],
% 0.91/1.27 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.91/1.27 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.91/1.27 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.91/1.27 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.91/1.27 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.91/1.27 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.91/1.27 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.91/1.27 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.91/1.27 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.91/1.27 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.91/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.91/1.27 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.91/1.27 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.27 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.27 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.91/1.27 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.27 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.91/1.27 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.91/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.91/1.27 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.91/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.91/1.27 ) ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.91/1.27 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.91/1.27 Z, U ), W ) ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.91/1.27 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.91/1.27 Z, U ), W ) ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.91/1.27 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.91/1.27 ],
% 0.91/1.27 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.91/1.27 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.91/1.27 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.91/1.27 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.91/1.27 , Z, U, W ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.91/1.27 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.91/1.27 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.91/1.27 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.91/1.27 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.91/1.27 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.91/1.27 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.91/1.27 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.91/1.27 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.91/1.27 ), Z ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.91/1.27 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.91/1.27 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.27 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.91/1.27 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.91/1.27 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.91/1.27 ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.91/1.27 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.91/1.27 ],
% 0.91/1.27 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.91/1.27 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.91/1.27 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.91/1.27 hAPP( Z, T ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.91/1.27 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.91/1.27 , Y ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.91/1.27 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.91/1.27 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.91/1.27 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.91/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.91/1.27 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.91/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.91/1.27 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.91/1.27 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.91/1.27 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.91/1.27 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.91/1.27 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.91/1.27 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.91/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.27 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.91/1.27 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.91/1.27 ,
% 0.91/1.27 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.91/1.27 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.91/1.27 X, U ) ) ],
% 0.91/1.27 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.91/1.27 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.91/1.27 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.91/1.27 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.91/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.91/1.27 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.91/1.27 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.91/1.27 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.91/1.27 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.91/1.27 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.91/1.27 , 'tc_Lambda_OdB' ) ) ],
% 0.91/1.27 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.27 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.91/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.91/1.27 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.91/1.27 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.91/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.91/1.27 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.91/1.27 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.27 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.27 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.91/1.27 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.91/1.27 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.91/1.27 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.91/1.27 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.91/1.27 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.27 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.91/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.91/1.27 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.91/1.27 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.91/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.91/1.27 'tc_Lambda_OdB' ), Z ) ) ],
% 0.91/1.27 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.91/1.27 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.27 'c_Lambda_OdB_OVar'(
% 0.91/1.27 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.91/1.27 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.91/1.27 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.91/1.27 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.91/1.27 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.91/1.28 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.91/1.28 , Z ) ) ],
% 0.91/1.28 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.91/1.28 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.91/1.28 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.91/1.28 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.28 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.28 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.91/1.28 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.91/1.28 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.28 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.91/1.28 ,
% 0.91/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.91/1.28 X ), Y ) ), Z ), Y ), X ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.91/1.28 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.28 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.91/1.28 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.91/1.28 ],
% 0.91/1.28 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.91/1.28 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.91/1.28 ],
% 0.91/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.91/1.28 ) ) ) ],
% 0.91/1.28 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.91/1.28 hAPP( X, T ) ) ],
% 0.91/1.28 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.91/1.28 , Z ) ) ],
% 0.91/1.28 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.91/1.28 hAPP( X, T ) ) ],
% 0.91/1.28 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.91/1.28 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.28 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.28 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.91/1.28 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.91/1.28 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.91/1.28 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.91/1.28 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.28 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.91/1.28 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.28 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.91/1.28 ) ],
% 0.91/1.28 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.28 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.91/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.91/1.28 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ), 'c_Wellfounded_Oaccp'(
% 0.91/1.28 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.91/1.28 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.91/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.28 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.28 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.28 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.28 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.28 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.91/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.28 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.28 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.91/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.91/1.28 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.91/1.28 ,
% 0.91/1.28 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.91/1.28 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.91/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.28 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.91/1.28 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.28 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.91/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.28 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.91/1.28 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.91/1.28 ) ) ],
% 0.91/1.28 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.91/1.28 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.91/1.28 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.91/1.28 ) ],
% 0.91/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.91/1.28 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.91/1.28 'tc_nat' ) ) ],
% 0.91/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.91/1.28 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.28 Z, X, 'tc_nat' ) ],
% 0.91/1.28 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.91/1.28 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.91/1.28 'tc_Lambda_OdB' ) ) ],
% 0.91/1.28 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.91/1.28 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.91/1.28 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.91/1.28 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.91/1.28 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.91/1.28 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), X ) ) ],
% 0.91/1.28 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.91/1.28 'tc_Lambda_OdB' ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.91/1.28 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.91/1.28 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.28 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.91/1.28 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.91/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.91/1.28 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.91/1.28 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.91/1.28 Z ) ) ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.91/1.28 ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.91/1.28 Z ) ) ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.91/1.28 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.91/1.28 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.91/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.91/1.28 ), X ), Y ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.91/1.28 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.91/1.28 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.91/1.28 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.91/1.28 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.91/1.28 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.91/1.28 , Y ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.91/1.28 Z ) ) ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.91/1.28 ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.91/1.28 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.28 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.91/1.28 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.91/1.28 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.91/1.28 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.91/1.28 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.91/1.28 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.91/1.28 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.91/1.28 , Y ) ],
% 0.91/1.28 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.91/1.28 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.91/1.28 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.91/1.28 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.91/1.28 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.91/1.28 Z ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.91/1.28 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_ra' ), 'v_s' ),
% 0.91/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_ss', 'tc_Lambda_OdB',
% 0.91/1.28 'tc_Lambda_OdB' ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.91/1.28 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.91/1.28 'c_Lambda_Osubst', 'v_ra' ), 'v_s' ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.28 'tc_nat' ) ), 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.91/1.28 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_s' ) ) ],
% 0.91/1.28 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.91/1.28 , 'v_s' ), 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ],
% 0.91/1.28 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 0.91/1.28 'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.91/1.28 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_ra' ) ), 'v_s' ), 'v_ss',
% 0.91/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'( 'v_ia' ) ),
% 0.91/1.28 'v_ja' ) ) ) ) ],
% 0.91/1.28 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.28 'class_Orderings_Opreorder'( Y ) ) ],
% 0.91/1.28 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.28 'class_Orderings_Oorder'( Y ) ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.91/1.28 ],
% 0.91/1.28 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.91/1.28 ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.91/1.28 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.91/1.28 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.91/1.28 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.91/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.91/1.28 ] .
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 percentage equality = 0.318257, percentage horn = 0.875926
% 0.91/1.28 This is a problem with some equality
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28
% 0.91/1.28 Options Used:
% 0.91/1.28
% 0.91/1.28 useres = 1
% 0.91/1.28 useparamod = 1
% 0.91/1.28 useeqrefl = 1
% 0.91/1.28 useeqfact = 1
% 0.91/1.28 usefactor = 1
% 0.91/1.28 usesimpsplitting = 0
% 0.91/1.28 usesimpdemod = 5
% 0.91/1.28 usesimpres = 3
% 0.91/1.28
% 0.91/1.28 resimpinuse = 1000
% 0.91/1.28 resimpclauses = 20000
% 0.91/1.28 substype = eqrewr
% 0.91/1.28 backwardsubs = 1
% 0.91/1.28 selectoldest = 5
% 0.91/1.28
% 0.91/1.28 litorderings [0] = split
% 0.91/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.28
% 0.91/1.28 termordering = kbo
% 0.91/1.28
% 0.91/1.28 litapriori = 0
% 0.91/1.28 termapriori = 1
% 0.91/1.28 litaposteriori = 0
% 0.91/1.28 termaposteriori = 0
% 0.91/1.28 demodaposteriori = 0
% 0.91/1.28 ordereqreflfact = 0
% 0.91/1.28
% 0.91/1.28 litselect = negord
% 0.91/1.28
% 0.91/1.28 maxweight = 15
% 0.91/1.28 maxdepth = 30000
% 0.91/1.28 maxlength = 115
% 0.91/1.28 maxnrvars = 195
% 0.91/1.28 excuselevel = 1
% 0.91/1.28 increasemaxweight = 1
% 0.91/1.28
% 0.91/1.28 maxselected = 10000000
% 0.91/1.28 maxnrclauses = 10000000
% 0.91/1.28
% 0.91/1.28 showgenerated = 0
% 0.91/1.28 showkept = 0
% 0.91/1.28 showselected = 0
% 0.91/1.28 showdeleted = 0
% 0.91/1.28 showresimp = 1
% 0.91/1.28 showstatus = 2000
% 0.91/1.28
% 0.91/1.28 prologoutput = 1
% 0.91/1.28 nrgoals = 5000000
% 0.91/1.28 totalproof = 1
% 0.91/1.28
% 0.91/1.28 Symbols occurring in the translation:
% 0.91/1.28
% 0.91/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.28 . [1, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.91/1.28 ! [4, 1] (w:0, o:99, a:1, s:1, b:0),
% 0.91/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.28 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:106, a:1
% 0.91/1.28 , s:1, b:0),
% 0.91/1.28 'c_lessequals' [43, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.91/1.28 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.91/1.28 'c_Suc' [46, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.91/1.28 'c_Power_Opower__class_Opower' [47, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.91/1.28 'c_Type_Oshift' [51, 4] (w:1, o:210, a:1, s:1, b:0),
% 0.91/1.35 hAPP [53, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.91/1.35 'tc_nat' [54, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.91/1.35 'c_HOL_Oord__class_Oless' [55, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.91/1.35 'class_Orderings_Oorder' [56, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.91/1.35 'class_Orderings_Opreorder' [60, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Opordered__ab__group__add' [61, 1] (w:1, o:112
% 0.91/1.35 , a:1, s:1, b:0),
% 0.91/1.35 'c_HOL_Oplus__class_Oplus' [62, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.91/1.35 'c_HOL_Ominus__class_Ominus' [66, 3] (w:1, o:198, a:1, s:1, b:0),
% 0.91/1.35 'c_List_Omap' [70, 4] (w:1, o:211, a:1, s:1, b:0),
% 0.91/1.35 'c_List_Oset' [72, 2] (w:1, o:187, a:1, s:1, b:0),
% 0.91/1.35 'c_in' [73, 3] (w:1, o:199, a:1, s:1, b:0),
% 0.91/1.35 'class_Orderings_Olinorder' [76, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.91/1.35 'c_HOL_Oone__class_Oone' [77, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.91/1.35 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [79, 1] (w:1
% 0.91/1.35 , o:118, a:1, s:1, b:0),
% 0.91/1.35 hBOOL [80, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.91/1.35 'c_ListApplication_Osko__ListApplication__Xlem__1__2' [81, 1] (w:1
% 0.91/1.35 , o:117, a:1, s:1, b:0),
% 0.91/1.35 'tc_Lambda_OdB' [82, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.91/1.35 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [84, 1
% 0.91/1.35 ] (w:1, o:122, a:1, s:1, b:0),
% 0.91/1.35 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [85, 1
% 0.91/1.35 ] (w:1, o:121, a:1, s:1, b:0),
% 0.91/1.35 'c_ListApplication_Osko__ListApplication__Xlem__1__4' [87, 1] (w:1
% 0.91/1.35 , o:123, a:1, s:1, b:0),
% 0.91/1.35 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4' [88, 1
% 0.91/1.35 ] (w:1, o:124, a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Opordered__comm__monoid__add' [89, 1] (w:1, o:125
% 0.91/1.35 , a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Olordered__ab__group__add' [90, 1] (w:1, o:126
% 0.91/1.35 , a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [91, 1]
% 0.91/1.35 (w:1, o:127, a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Ocomm__monoid__add' [92, 1] (w:1, o:128, a:1, s:1
% 0.91/1.35 , b:0),
% 0.91/1.35 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [93, 1]
% 0.91/1.35 (w:1, o:129, a:1, s:1, b:0),
% 0.91/1.35 'c_Nat_Osemiring__1__class_Oof__nat' [94, 2] (w:1, o:188, a:1, s:1
% 0.91/1.35 , b:0),
% 0.91/1.35 'class_Ring__and__Field_Osemiring__0' [95, 1] (w:1, o:131, a:1, s:1
% 0.91/1.35 , b:0),
% 0.91/1.35 'class_Power_Opower' [96, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.91/1.35 'c_Type_Otyping' [101, 3] (w:1, o:200, a:1, s:1, b:0),
% 0.91/1.35 'tc_Type_Otype' [102, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.91/1.35 'c_Lambda_Osubst' [103, 0] (w:1, o:70, a:1, s:1, b:0),
% 0.91/1.35 'c_Lambda_Olift' [104, 0] (w:1, o:71, a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Opordered__ab__semigroup__add' [105, 1] (w:1, o:
% 0.91/1.35 132, a:1, s:1, b:0),
% 0.91/1.35 'c_List_Olistsp' [107, 3] (w:1, o:201, a:1, s:1, b:0),
% 0.91/1.35 'c_List_Olist_OCons' [109, 3] (w:1, o:202, a:1, s:1, b:0),
% 0.91/1.35 'c_List_Oappend' [110, 3] (w:1, o:203, a:1, s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Ogroup__add' [114, 1] (w:1, o:133, a:1, s:1, b:0)
% 0.91/1.35 ,
% 0.91/1.35 'class_Ring__and__Field_Osemiring__1' [116, 1] (w:1, o:142, a:1, s:1
% 0.91/1.35 , b:0),
% 0.91/1.35 'c_Nat_Osemiring__1__class_Oof__nat__aux' [118, 4] (w:1, o:212, a:1
% 0.91/1.35 , s:1, b:0),
% 0.91/1.35 'class_OrderedGroup_Oab__group__add' [119, 1] (w:1, o:134, a:1, s:1
% 0.91/1.35 , b:0),
% 0.91/1.35 'class_Ring__and__Field_Oidom' [120, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.91/1.35
% 0.91/1.35 'class_Int_Onumber__ring' [121, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.91/1.35 'c_Lambda_Oliftn' [122, 3] (w:1, o:204, a:1, s:1, b:0),
% 0.91/1.35 'class_Ring__and__Field_Ocomm__semiring__1' [123, 1] (w:1, o:145, a:1
% 0.91/1.35 , s:1, b:0),
% 0.91/1.35 'c_ListOrder_Ostep1' [126, 4] (w:1, o:213, a:1, s:1, b:0),
% 0.91/1.35 'c_Lambda_Obeta' [129, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.91/1.35 'c_Transitive__Closure_Ortranclp' [130, 2] (w:1, o:189, a:1, s:1, b:0
% 0.91/1.35 ),
% 0.91/1.35 'c_Lambda_OdB_OAbs' [132, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.91/1.35 'c_List_Olist_ONil' [134, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.91/1.35 'c_Wellfounded_Oaccp' [136, 3] (w:1, o:205, a:1, s:1, b:0),
% 0.91/1.35 'c_Predicate_Oconversep' [137, 3] (w:1, o:206, a:1, s:1, b:0),
% 0.91/1.35 'c_InductTermi_OIT' [138, 0] (w:1, o:80, a:1, s:1, b:0),
% 11.11/11.52 'v_sko__InductTermi__XIT__Xcases__5' [139, 1] (w:1, o:149, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'v_sko__InductTermi__XIT__Xcases__3' [140, 1] (w:1, o:151, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'v_sko__InductTermi__XIT__Xcases__1' [141, 1] (w:1, o:152, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'c_Lambda_Osubstn' [143, 3] (w:1, o:207, a:1, s:1, b:0),
% 11.11/11.52 'c_List_Ofoldr' [144, 5] (w:1, o:219, a:1, s:1, b:0),
% 11.11/11.52 'class_Nat_Osemiring__char__0' [145, 1] (w:1, o:109, a:1, s:1, b:0),
% 11.11/11.52
% 11.11/11.52 'class_OrderedGroup_Oab__semigroup__add' [146, 1] (w:1, o:135, a:1
% 11.11/11.52 , s:1, b:0),
% 11.11/11.52 'c_List_Ofoldl' [147, 5] (w:1, o:220, a:1, s:1, b:0),
% 11.11/11.52 'class_OrderedGroup_Omonoid__mult' [148, 1] (w:1, o:136, a:1, s:1, b:
% 11.11/11.52 0),
% 11.11/11.52 'tc_fun' [149, 2] (w:1, o:190, a:1, s:1, b:0),
% 11.11/11.52 'c_COMBC' [150, 5] (w:1, o:221, a:1, s:1, b:0),
% 11.11/11.52 'c_Type_Otypings' [153, 3] (w:1, o:208, a:1, s:1, b:0),
% 11.11/11.52 'c_Lambda_OdB_OdB__size' [156, 1] (w:1, o:153, a:1, s:1, b:0),
% 11.11/11.52 'c_Lambda_OdB_OApp' [157, 0] (w:1, o:83, a:1, s:1, b:0),
% 11.11/11.52 'c_Lambda_OdB_OVar' [160, 1] (w:1, o:154, a:1, s:1, b:0),
% 11.11/11.52 'c_Nat_Osize__class_Osize' [161, 2] (w:1, o:191, a:1, s:1, b:0),
% 11.11/11.52 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [162, 4] (w:1, o:215, a:
% 11.11/11.52 1, s:1, b:0),
% 11.11/11.52 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [163, 4] (w:1, o:214, a:
% 11.11/11.52 1, s:1, b:0),
% 11.11/11.52 'c_ListApplication_Osko__ListApplication__Xlem__1__1' [164, 1] (w:1
% 11.11/11.52 , o:116, a:1, s:1, b:0),
% 11.11/11.52 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [165, 1
% 11.11/11.52 ] (w:1, o:120, a:1, s:1, b:0),
% 11.11/11.52 'class_OrderedGroup_Omonoid__add' [171, 1] (w:1, o:137, a:1, s:1, b:0
% 11.11/11.52 ),
% 11.11/11.52 'c_List_Olistsum' [172, 2] (w:1, o:192, a:1, s:1, b:0),
% 11.11/11.52 'v_sko__InductTermi__XIT__Xcases__4' [174, 1] (w:1, o:148, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'v_sko__InductTermi__XIT__Xcases__6' [175, 1] (w:1, o:155, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'class_OrderedGroup_Ocancel__ab__semigroup__add' [176, 1] (w:1, o:138
% 11.11/11.52 , a:1, s:1, b:0),
% 11.11/11.52 'class_OrderedGroup_Ocancel__semigroup__add' [177, 1] (w:1, o:139, a:
% 11.11/11.52 1, s:1, b:0),
% 11.11/11.52 'c_OrderedGroup_Omonoid__add' [183, 3] (w:1, o:195, a:1, s:1, b:0),
% 11.11/11.52 'v_sko__InductTermi__XIT__Xcases__2' [184, 1] (w:1, o:150, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'class_Ring__and__Field_Ozero__neq__one' [185, 1] (w:1, o:156, a:1
% 11.11/11.52 , s:1, b:0),
% 11.11/11.52 'class_Ring__and__Field_Ono__zero__divisors' [186, 1] (w:1, o:105, a:
% 11.11/11.52 1, s:1, b:0),
% 11.11/11.52 'class_Ring__and__Field_Omult__zero' [187, 1] (w:1, o:104, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 'class_Ring__and__Field_Oring__1__no__zero__divisors' [188, 1] (w:1
% 11.11/11.52 , o:130, a:1, s:1, b:0),
% 11.11/11.52 'class_Ring__and__Field_Oordered__idom' [189, 1] (w:1, o:157, a:1, s:
% 11.11/11.52 1, b:0),
% 11.11/11.52 'c_fequal' [190, 1] (w:1, o:158, a:1, s:1, b:0),
% 11.11/11.52 'c_OrderedGroup_Osemigroup__add' [191, 2] (w:1, o:193, a:1, s:1, b:0)
% 11.11/11.52 ,
% 11.11/11.52 'class_OrderedGroup_Osemigroup__add' [192, 1] (w:1, o:140, a:1, s:1
% 11.11/11.52 , b:0),
% 11.11/11.52 't_a' [198, 0] (w:1, o:88, a:1, s:1, b:0),
% 11.11/11.52 'c_Lambda_OdB_OdB__case' [199, 5] (w:1, o:222, a:1, s:1, b:0),
% 11.11/11.52 'c_Lambda_OdB_OdB__rec' [200, 5] (w:1, o:223, a:1, s:1, b:0),
% 11.11/11.52 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 11.11/11.52 203, 4] (w:1, o:216, a:1, s:1, b:0),
% 11.11/11.52 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [204, 1
% 11.11/11.52 ] (w:1, o:160, a:1, s:1, b:0),
% 11.11/11.52 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [205, 1
% 11.11/11.52 ] (w:1, o:159, a:1, s:1, b:0),
% 11.11/11.52 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [206, 4] (w:1, o:217, a:
% 11.11/11.52 1, s:1, b:0),
% 11.11/11.52 'c_Type_Osko__Type__Xvar__app__types__1__1' [207, 4] (w:1, o:218, a:1
% 11.11/11.52 , s:1, b:0),
% 11.11/11.52 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [208, 3] (w:
% 11.11/11.52 1, o:209, a:1, s:1, b:0),
% 11.11/11.52 'v_ra' [214, 0] (w:1, o:89, a:1, s:1, b:0),
% 11.11/11.52 'v_s' [215, 0] (w:1, o:90, a:1, s:1, b:0),
% 11.11/11.52 'v_ss' [216, 0] (w:1, o:91, a:1, s:1, b:0),
% 11.11/11.52 'v_ia' [217, 0] (w:1, o:92, a:1, s:1, b:0),
% 11.11/11.52 'v_ja' [218, 0] (w:1, o:93, a:1, s:1, b:0),
% 11.11/11.52 'tc_bool' [221, 0] (w:1, o:96, a:1, s:1, b:0).
% 11.11/11.52
% 11.11/11.52
% 11.11/11.52 Starting Search:
% 11.11/11.52
% 11.11/11.52 Resimplifying inuse:
% 11.11/11.52 Done
% 11.11/11.52
% 11.11/11.52
% 11.11/11.52 Intermediate Status:
% 34.79/35.17 Generated: 5467
% 34.79/35.17 Kept: 2006
% 34.79/35.17 Inuse: 154
% 34.79/35.17 Deleted: 7
% 34.79/35.17 Deletedinuse: 0
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 14750
% 34.79/35.17 Kept: 4274
% 34.79/35.17 Inuse: 210
% 34.79/35.17 Deleted: 7
% 34.79/35.17 Deletedinuse: 0
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 22807
% 34.79/35.17 Kept: 6348
% 34.79/35.17 Inuse: 311
% 34.79/35.17 Deleted: 15
% 34.79/35.17 Deletedinuse: 0
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 30033
% 34.79/35.17 Kept: 8350
% 34.79/35.17 Inuse: 366
% 34.79/35.17 Deleted: 16
% 34.79/35.17 Deletedinuse: 1
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 43328
% 34.79/35.17 Kept: 10967
% 34.79/35.17 Inuse: 424
% 34.79/35.17 Deleted: 23
% 34.79/35.17 Deletedinuse: 6
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 55643
% 34.79/35.17 Kept: 13123
% 34.79/35.17 Inuse: 486
% 34.79/35.17 Deleted: 32
% 34.79/35.17 Deletedinuse: 10
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 69767
% 34.79/35.17 Kept: 15536
% 34.79/35.17 Inuse: 536
% 34.79/35.17 Deleted: 36
% 34.79/35.17 Deletedinuse: 11
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 83098
% 34.79/35.17 Kept: 17586
% 34.79/35.17 Inuse: 556
% 34.79/35.17 Deleted: 37
% 34.79/35.17 Deletedinuse: 12
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 95577
% 34.79/35.17 Kept: 20086
% 34.79/35.17 Inuse: 591
% 34.79/35.17 Deleted: 38
% 34.79/35.17 Deletedinuse: 13
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying clauses:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 106263
% 34.79/35.17 Kept: 22617
% 34.79/35.17 Inuse: 601
% 34.79/35.17 Deleted: 606
% 34.79/35.17 Deletedinuse: 13
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 118882
% 34.79/35.17 Kept: 24660
% 34.79/35.17 Inuse: 620
% 34.79/35.17 Deleted: 643
% 34.79/35.17 Deletedinuse: 14
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 144078
% 34.79/35.17 Kept: 28304
% 34.79/35.17 Inuse: 653
% 34.79/35.17 Deleted: 686
% 34.79/35.17 Deletedinuse: 15
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 156675
% 34.79/35.17 Kept: 30437
% 34.79/35.17 Inuse: 667
% 34.79/35.17 Deleted: 686
% 34.79/35.17 Deletedinuse: 15
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 171569
% 34.79/35.17 Kept: 32437
% 34.79/35.17 Inuse: 693
% 34.79/35.17 Deleted: 686
% 34.79/35.17 Deletedinuse: 15
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 187180
% 34.79/35.17 Kept: 34530
% 34.79/35.17 Inuse: 733
% 34.79/35.17 Deleted: 686
% 34.79/35.17 Deletedinuse: 15
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 203966
% 34.79/35.17 Kept: 37861
% 34.79/35.17 Inuse: 753
% 34.79/35.17 Deleted: 687
% 34.79/35.17 Deletedinuse: 16
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 218324
% 34.79/35.17 Kept: 40258
% 34.79/35.17 Inuse: 768
% 34.79/35.17 Deleted: 687
% 34.79/35.17 Deletedinuse: 16
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying clauses:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 231727
% 34.79/35.17 Kept: 42268
% 34.79/35.17 Inuse: 801
% 34.79/35.17 Deleted: 1009
% 34.79/35.17 Deletedinuse: 16
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 248260
% 34.79/35.17 Kept: 44275
% 34.79/35.17 Inuse: 836
% 34.79/35.17 Deleted: 1010
% 34.79/35.17 Deletedinuse: 17
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 269609
% 34.79/35.17 Kept: 46284
% 34.79/35.17 Inuse: 865
% 34.79/35.17 Deleted: 1011
% 34.79/35.17 Deletedinuse: 18
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 281733
% 34.79/35.17 Kept: 48328
% 34.79/35.17 Inuse: 888
% 34.79/35.17 Deleted: 1012
% 34.79/35.17 Deletedinuse: 19
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 294725
% 34.79/35.17 Kept: 50471
% 34.79/35.17 Inuse: 936
% 34.79/35.17 Deleted: 1015
% 34.79/35.17 Deletedinuse: 20
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 307487
% 34.79/35.17 Kept: 52677
% 34.79/35.17 Inuse: 971
% 34.79/35.17 Deleted: 1016
% 34.79/35.17 Deletedinuse: 21
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 328794
% 34.79/35.17 Kept: 55493
% 34.79/35.17 Inuse: 981
% 34.79/35.17 Deleted: 1017
% 34.79/35.17 Deletedinuse: 22
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17 Resimplifying inuse:
% 34.79/35.17 Done
% 34.79/35.17
% 34.79/35.17
% 34.79/35.17 Intermediate Status:
% 34.79/35.17 Generated: 352034
% 34.79/35.17 Kept: 57493
% 73.00/73.42 Inuse: 992
% 73.00/73.42 Deleted: 1017
% 73.00/73.42 Deletedinuse: 22
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 374853
% 73.00/73.42 Kept: 59496
% 73.00/73.42 Inuse: 1001
% 73.00/73.42 Deleted: 1017
% 73.00/73.42 Deletedinuse: 22
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying clauses:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 391848
% 73.00/73.42 Kept: 62056
% 73.00/73.42 Inuse: 1014
% 73.00/73.42 Deleted: 1212
% 73.00/73.42 Deletedinuse: 22
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 402926
% 73.00/73.42 Kept: 64089
% 73.00/73.42 Inuse: 1040
% 73.00/73.42 Deleted: 1213
% 73.00/73.42 Deletedinuse: 23
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 414933
% 73.00/73.42 Kept: 66114
% 73.00/73.42 Inuse: 1046
% 73.00/73.42 Deleted: 1213
% 73.00/73.42 Deletedinuse: 23
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 424322
% 73.00/73.42 Kept: 68485
% 73.00/73.42 Inuse: 1067
% 73.00/73.42 Deleted: 1220
% 73.00/73.42 Deletedinuse: 23
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 438693
% 73.00/73.42 Kept: 71409
% 73.00/73.42 Inuse: 1074
% 73.00/73.42 Deleted: 1230
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 450421
% 73.00/73.42 Kept: 73613
% 73.00/73.42 Inuse: 1076
% 73.00/73.42 Deleted: 1238
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 464043
% 73.00/73.42 Kept: 75613
% 73.00/73.42 Inuse: 1109
% 73.00/73.42 Deleted: 1239
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 481462
% 73.00/73.42 Kept: 78636
% 73.00/73.42 Inuse: 1123
% 73.00/73.42 Deleted: 1241
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 494917
% 73.00/73.42 Kept: 80990
% 73.00/73.42 Inuse: 1128
% 73.00/73.42 Deleted: 1241
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying clauses:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 507496
% 73.00/73.42 Kept: 83017
% 73.00/73.42 Inuse: 1153
% 73.00/73.42 Deleted: 1493
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 525406
% 73.00/73.42 Kept: 86061
% 73.00/73.42 Inuse: 1167
% 73.00/73.42 Deleted: 1493
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 538240
% 73.00/73.42 Kept: 89079
% 73.00/73.42 Inuse: 1173
% 73.00/73.42 Deleted: 1493
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 546363
% 73.00/73.42 Kept: 91156
% 73.00/73.42 Inuse: 1182
% 73.00/73.42 Deleted: 1493
% 73.00/73.42 Deletedinuse: 25
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 564570
% 73.00/73.42 Kept: 94787
% 73.00/73.42 Inuse: 1202
% 73.00/73.42 Deleted: 1494
% 73.00/73.42 Deletedinuse: 26
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 583975
% 73.00/73.42 Kept: 97052
% 73.00/73.42 Inuse: 1227
% 73.00/73.42 Deleted: 1494
% 73.00/73.42 Deletedinuse: 26
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 611701
% 73.00/73.42 Kept: 99716
% 73.00/73.42 Inuse: 1237
% 73.00/73.42 Deleted: 1494
% 73.00/73.42 Deletedinuse: 26
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying clauses:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 621883
% 73.00/73.42 Kept: 101724
% 73.00/73.42 Inuse: 1258
% 73.00/73.42 Deleted: 1862
% 73.00/73.42 Deletedinuse: 26
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 669096
% 73.00/73.42 Kept: 107403
% 73.00/73.42 Inuse: 1282
% 73.00/73.42 Deleted: 1863
% 73.00/73.42 Deletedinuse: 27
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 688423
% 73.00/73.42 Kept: 109558
% 73.00/73.42 Inuse: 1297
% 73.00/73.42 Deleted: 1863
% 73.00/73.42 Deletedinuse: 27
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 701593
% 73.00/73.42 Kept: 111664
% 73.00/73.42 Inuse: 1322
% 73.00/73.42 Deleted: 1863
% 73.00/73.42 Deletedinuse: 27
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 719342
% 73.00/73.42 Kept: 115503
% 73.00/73.42 Inuse: 1342
% 73.00/73.42 Deleted: 1863
% 73.00/73.42 Deletedinuse: 27
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 727365
% 73.00/73.42 Kept: 117911
% 73.00/73.42 Inuse: 1347
% 73.00/73.42 Deleted: 1863
% 73.00/73.42 Deletedinuse: 27
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42 Resimplifying inuse:
% 73.00/73.42 Done
% 73.00/73.42
% 73.00/73.42
% 73.00/73.42 Intermediate Status:
% 73.00/73.42 Generated: 734650
% 73.00/73.42 Kept: 119913
% 73.00/73.42 Inuse: 1362
% 157.85/158.34 Deleted: 1863
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying clauses:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 744694
% 157.85/158.34 Kept: 122321
% 157.85/158.34 Inuse: 1382
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 754142
% 157.85/158.34 Kept: 124490
% 157.85/158.34 Inuse: 1397
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 770368
% 157.85/158.34 Kept: 126531
% 157.85/158.34 Inuse: 1404
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 786379
% 157.85/158.34 Kept: 128532
% 157.85/158.34 Inuse: 1410
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 798942
% 157.85/158.34 Kept: 130538
% 157.85/158.34 Inuse: 1434
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 831849
% 157.85/158.34 Kept: 133544
% 157.85/158.34 Inuse: 1442
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 848740
% 157.85/158.34 Kept: 135733
% 157.85/158.34 Inuse: 1467
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 868175
% 157.85/158.34 Kept: 138287
% 157.85/158.34 Inuse: 1497
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 879661
% 157.85/158.34 Kept: 140298
% 157.85/158.34 Inuse: 1513
% 157.85/158.34 Deleted: 2067
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying clauses:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 890627
% 157.85/158.34 Kept: 142304
% 157.85/158.34 Inuse: 1528
% 157.85/158.34 Deleted: 2434
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 905668
% 157.85/158.34 Kept: 144325
% 157.85/158.34 Inuse: 1551
% 157.85/158.34 Deleted: 2434
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 915482
% 157.85/158.34 Kept: 146689
% 157.85/158.34 Inuse: 1562
% 157.85/158.34 Deleted: 2434
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 928587
% 157.85/158.34 Kept: 148713
% 157.85/158.34 Inuse: 1567
% 157.85/158.34 Deleted: 2434
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 941667
% 157.85/158.34 Kept: 150817
% 157.85/158.34 Inuse: 1587
% 157.85/158.34 Deleted: 2434
% 157.85/158.34 Deletedinuse: 27
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 953750
% 157.85/158.34 Kept: 152932
% 157.85/158.34 Inuse: 1602
% 157.85/158.34 Deleted: 2435
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 963938
% 157.85/158.34 Kept: 155592
% 157.85/158.34 Inuse: 1612
% 157.85/158.34 Deleted: 2435
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 978990
% 157.85/158.34 Kept: 158466
% 157.85/158.34 Inuse: 1632
% 157.85/158.34 Deleted: 2435
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 989713
% 157.85/158.34 Kept: 160473
% 157.85/158.34 Inuse: 1645
% 157.85/158.34 Deleted: 2435
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 1001952
% 157.85/158.34 Kept: 163935
% 157.85/158.34 Inuse: 1652
% 157.85/158.34 Deleted: 2435
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying clauses:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 1011359
% 157.85/158.34 Kept: 166069
% 157.85/158.34 Inuse: 1667
% 157.85/158.34 Deleted: 2683
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 1026986
% 157.85/158.34 Kept: 168727
% 157.85/158.34 Inuse: 1677
% 157.85/158.34 Deleted: 2683
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 1040246
% 157.85/158.34 Kept: 170867
% 157.85/158.34 Inuse: 1687
% 157.85/158.34 Deleted: 2683
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34 Resimplifying inuse:
% 157.85/158.34 Done
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 1050702
% 157.85/158.34 Kept: 173218
% 157.85/158.34 Inuse: 1702
% 157.85/158.34 Deleted: 2683
% 157.85/158.34 Deletedinuse: 28
% 157.85/158.34
% 157.85/158.34
% 157.85/158.34 Intermediate Status:
% 157.85/158.34 Generated: 1072685
% 157.85/158.34 Kept: 176601
% 157.85/158.34 Inuse: 1707
% 157.85/158.34 Deleted: 2683
% 157.85/158.34 DeletedinuseCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------