TSTP Solution File: LCL831-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL831-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:58:34 EDT 2022
% Result : Timeout 291.07s 291.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : LCL831-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jul 5 01:19:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.83/1.23 *** allocated 10000 integers for termspace/termends
% 0.83/1.23 *** allocated 10000 integers for clauses
% 0.83/1.23 *** allocated 10000 integers for justifications
% 0.83/1.23 Bliksem 1.12
% 0.83/1.23
% 0.83/1.23
% 0.83/1.23 Automatic Strategy Selection
% 0.83/1.23
% 0.83/1.23 Clauses:
% 0.83/1.23 [
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.23 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.83/1.23 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.83/1.23 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.83/1.23 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.83/1.23 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.83/1.23 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.83/1.23 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.83/1.23 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), Z ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.83/1.23 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.83/1.23 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), Z ) ) ],
% 0.83/1.23 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.83/1.23 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.83/1.23 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.83/1.23 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.83/1.23 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.83/1.23 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.83/1.23 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.83/1.23 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.83/1.23 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.83/1.23 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.83/1.23 X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL(
% 0.83/1.23 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.83/1.23 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.83/1.23 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.83/1.23 ), Z ), U ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.83/1.23 ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.83/1.23 ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.83/1.23 =( Y, T ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.83/1.23 =( X, T ) ],
% 0.83/1.23 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.83/1.23 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.83/1.23 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.83/1.23 hAPP( Z, T ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.23 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.83/1.23 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.83/1.23 T, Y, Z ), Z ) ) ],
% 0.83/1.23 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.83/1.23 Y, T, Z ), Z ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.83/1.23 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.83/1.23 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.83/1.23 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.83/1.23 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.83/1.23 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.83/1.23 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.83/1.23 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.83/1.23 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.83/1.23 ), Z ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.83/1.23 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.83/1.23 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), T ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.83/1.23 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.83/1.23 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), T ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.83/1.23 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.83/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.83/1.23 ), 'tc_nat' ) ) ],
% 0.83/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.83/1.23 ), 'tc_nat' ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.83/1.23 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.83/1.23 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.83/1.23 'c_List_Olist_ONil'( Z ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.83/1.23 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.83/1.23 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.83/1.23 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.23 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.83/1.23 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.83/1.23 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.83/1.23 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.83/1.23 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.83/1.23 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.83/1.23 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.83/1.23 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.83/1.23 ), Z ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.83/1.23 ), Z ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.83/1.23 ) ) ) ],
% 0.83/1.23 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.83/1.23 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.83/1.23 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.83/1.23 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.83/1.23 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.83/1.23 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.23 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.83/1.23 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.83/1.23 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.83/1.23 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.83/1.23 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.83/1.23 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.83/1.23 ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.83/1.23 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.83/1.23 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.83/1.23 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.83/1.23 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.83/1.23 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.83/1.23 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.83/1.23 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.83/1.23 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.83/1.23 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.83/1.23 'c_Type_Otypings'( X, T, U ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.83/1.23 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.83/1.23 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.83/1.23 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.83/1.23 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.83/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.83/1.23 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.83/1.23 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.83/1.23 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.83/1.23 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.83/1.23 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.83/1.23 ), Z, X ) ) ],
% 0.83/1.23 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.83/1.23 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.83/1.23 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.83/1.23 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.83/1.23 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.83/1.23 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.83/1.23 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.23 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.83/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.83/1.23 Y ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.83/1.23 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.83/1.23 , Y ) ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.83/1.23 X, T ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.83/1.23 X, T ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.83/1.23 , 'c_List_Olist_ONil'( T ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.83/1.23 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.83/1.23 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.83/1.23 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.83/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.83/1.23 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.83/1.23 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.83/1.23 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.83/1.23 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.83/1.23 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.83/1.23 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.83/1.23 ],
% 0.83/1.23 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.83/1.23 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.83/1.23 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.83/1.23 'tc_nat' ) ],
% 0.83/1.23 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.83/1.23 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.83/1.23 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 0.83/1.23 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.83/1.23 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.83/1.23 ) ) ) ],
% 0.83/1.23 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.83/1.23 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.83/1.23 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 0.83/1.23 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.83/1.23 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.83/1.23 ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.83/1.23 , 'c_List_Olist_ONil'( X ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.83/1.23 , 'c_List_Olist_ONil'( X ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.83/1.23 ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.83/1.23 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.83/1.23 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.83/1.23 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.83/1.23 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.83/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.83/1.23 , X ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.23 , Y, X ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.23 , Y, X ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.83/1.23 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.83/1.23 ), Z ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.83/1.23 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.83/1.23 ) ],
% 0.83/1.23 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.83/1.23 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.83/1.23 ) ],
% 0.83/1.23 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.83/1.23 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.83/1.23 ), U ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.23 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.83/1.23 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.23 ), =( Z, Y ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.23 ) ],
% 0.83/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.23 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.83/1.23 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.83/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.23 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.23 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.23 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.23 ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.23 T, X ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.83/1.23 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.83/1.23 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.83/1.23 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.83/1.23 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.83/1.23 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.83/1.23 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.83/1.23 ), W ), W ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.83/1.23 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.83/1.23 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.83/1.23 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.83/1.23 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.83/1.23 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.83/1.23 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.83/1.23 X ) ],
% 0.83/1.23 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.83/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.83/1.23 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.83/1.23 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.83/1.23 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.83/1.23 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.83/1.23 , Y ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.83/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.83/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.83/1.23 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.83/1.23 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.83/1.23 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.83/1.23 ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.83/1.23 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.83/1.23 ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.83/1.23 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.23 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.83/1.23 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.83/1.23 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.23 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.23 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.23 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.83/1.23 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.23 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.83/1.23 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.83/1.23 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.23 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.23 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.83/1.23 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.83/1.23 ) ), =( X, T ) ],
% 0.83/1.23 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.83/1.23 ) ), =( Y, U ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.83/1.23 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.83/1.23 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.83/1.23 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.83/1.23 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.83/1.23 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.83/1.23 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.83/1.23 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.83/1.23 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.83/1.23 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.83/1.23 ) ],
% 0.83/1.23 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.83/1.23 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.83/1.23 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.83/1.23 ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.83/1.23 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.83/1.23 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.83/1.23 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.83/1.23 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.83/1.23 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.83/1.23 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.83/1.23 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.83/1.23 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.83/1.23 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.83/1.23 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.83/1.23 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.83/1.23 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.83/1.23 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.83/1.23 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.83/1.23 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.83/1.23 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.83/1.23 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.83/1.23 ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.83/1.23 Z ) ) ) ],
% 0.83/1.23 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.83/1.23 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), Z ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.83/1.23 ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.83/1.23 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.83/1.23 ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.83/1.23 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.83/1.23 ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.83/1.23 Z ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.83/1.23 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.83/1.23 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.83/1.23 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.83/1.23 ), X ), Y ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.83/1.23 Z, U ), W ) ) ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.83/1.23 Z, U ), W ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.83/1.23 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.83/1.23 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.83/1.23 'tc_nat' ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.83/1.23 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.83/1.23 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.83/1.23 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.83/1.23 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.83/1.23 ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.83/1.23 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.83/1.23 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.83/1.23 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.83/1.23 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.83/1.23 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.83/1.23 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), X ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.83/1.23 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.83/1.23 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.83/1.23 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.83/1.23 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.83/1.23 ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.83/1.23 , Y ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.83/1.23 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.83/1.23 hAPP( X, T ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.83/1.23 Z ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.83/1.23 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.83/1.23 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.83/1.23 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.23 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.83/1.23 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.83/1.23 , Z ) ) ],
% 0.83/1.23 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.83/1.23 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.23 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.83/1.23 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.83/1.23 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.83/1.23 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.83/1.23 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.83/1.23 ],
% 0.83/1.23 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.83/1.23 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.83/1.23 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.83/1.23 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.83/1.23 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.83/1.23 , 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.83/1.23 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ],
% 0.83/1.23 [ ~( =( 'v_n____', 'v_i____' ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.83/1.23 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.83/1.23 ,
% 0.83/1.23 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.83/1.23 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.23 Z, X, 'tc_nat' ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.83/1.23 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.83/1.23 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.83/1.23 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.83/1.23 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.83/1.23 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.83/1.23 ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.83/1.23 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.83/1.23 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.83/1.23 X, U ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.83/1.23 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.83/1.23 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.83/1.23 hAPP( X, T ) ) ],
% 0.83/1.23 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.83/1.23 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.83/1.23 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.83/1.23 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.83/1.23 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.83/1.23 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.83/1.23 , Y ) ],
% 0.83/1.23 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.83/1.23 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.83/1.23 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.83/1.23 , Z, U, W ) ) ) ],
% 0.83/1.23 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.83/1.23 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.83/1.23 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.83/1.23 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.83/1.23 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.83/1.23 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.83/1.23 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.83/1.23 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.83/1.23 , Z ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.83/1.23 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.83/1.23 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.83/1.23 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.83/1.23 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.83/1.23 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.83/1.23 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.83/1.23 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.83/1.23 X ), Y ) ), Z ), Y ), X ) ],
% 0.83/1.23 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.83/1.23 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.83/1.23 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.83/1.23 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.83/1.23 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.83/1.23 'tc_Lambda_OdB' ) ) ],
% 0.83/1.23 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.83/1.23 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.83/1.23 ) ) ) ],
% 0.83/1.23 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.83/1.23 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.83/1.23 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.83/1.23 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.83/1.23 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.83/1.23 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.83/1.23 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.83/1.23 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.83/1.23 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.83/1.23 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.83/1.23 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.83/1.23 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.83/1.23 Z ) ) ) ],
% 0.83/1.23 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.83/1.23 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.23 , 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB',
% 0.87/1.23 'tc_nat', 'tc_Lambda_OdB' ), 'v_rs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.23 ), 'tc_Lambda_OdB' ) ],
% 0.87/1.23 [ ~( =( 'v_n____', 'v_i____' ) ) ],
% 0.87/1.23 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 0.87/1.23 'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.23 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.87/1.23 'tc_Lambda_OdB' ) ), 'v_u____' ), 'v_i____' ) ) ) ) ],
% 0.87/1.23 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.23 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.23 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.23 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.87/1.23 ],
% 0.87/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.87/1.23 ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.23 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.23 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.23 [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.23 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.23 ] .
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 percentage equality = 0.365812, percentage horn = 0.894737
% 0.87/1.23 This is a problem with some equality
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Options Used:
% 0.87/1.23
% 0.87/1.23 useres = 1
% 0.87/1.23 useparamod = 1
% 0.87/1.23 useeqrefl = 1
% 0.87/1.23 useeqfact = 1
% 0.87/1.23 usefactor = 1
% 0.87/1.23 usesimpsplitting = 0
% 0.87/1.23 usesimpdemod = 5
% 0.87/1.23 usesimpres = 3
% 0.87/1.23
% 0.87/1.23 resimpinuse = 1000
% 0.87/1.23 resimpclauses = 20000
% 0.87/1.23 substype = eqrewr
% 0.87/1.23 backwardsubs = 1
% 0.87/1.23 selectoldest = 5
% 0.87/1.23
% 0.87/1.23 litorderings [0] = split
% 0.87/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.23
% 0.87/1.23 termordering = kbo
% 0.87/1.23
% 0.87/1.23 litapriori = 0
% 0.87/1.23 termapriori = 1
% 0.87/1.23 litaposteriori = 0
% 0.87/1.23 termaposteriori = 0
% 0.87/1.23 demodaposteriori = 0
% 0.87/1.23 ordereqreflfact = 0
% 0.87/1.23
% 0.87/1.23 litselect = negord
% 0.87/1.23
% 0.87/1.23 maxweight = 15
% 0.87/1.23 maxdepth = 30000
% 0.87/1.23 maxlength = 115
% 0.87/1.23 maxnrvars = 195
% 0.87/1.23 excuselevel = 1
% 0.87/1.23 increasemaxweight = 1
% 0.87/1.23
% 0.87/1.23 maxselected = 10000000
% 0.87/1.23 maxnrclauses = 10000000
% 0.87/1.23
% 0.87/1.23 showgenerated = 0
% 0.87/1.23 showkept = 0
% 0.87/1.23 showselected = 0
% 0.87/1.23 showdeleted = 0
% 0.87/1.23 showresimp = 1
% 0.87/1.23 showstatus = 2000
% 0.87/1.23
% 0.87/1.23 prologoutput = 1
% 0.87/1.23 nrgoals = 5000000
% 0.87/1.23 totalproof = 1
% 0.87/1.23
% 0.87/1.23 Symbols occurring in the translation:
% 0.87/1.23
% 0.87/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.23 . [1, 2] (w:1, o:150, a:1, s:1, b:0),
% 0.87/1.23 ! [4, 1] (w:0, o:104, a:1, s:1, b:0),
% 0.87/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.64 'class_Ring__and__Field_Oidom' [40, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.87/1.64 'class_Int_Onumber__ring' [41, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.87/1.64 'c_HOL_Oplus__class_Oplus' [43, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.87/1.64 hAPP [44, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.87/1.64 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.87/1.64 hBOOL [49, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.87/1.64 'c_Lambda_OdB_OApp' [50, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.87/1.64 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [51, 1
% 0.87/1.64 ] (w:1, o:115, a:1, s:1, b:0),
% 0.87/1.64 'c_Lambda_OdB_OAbs' [52, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.87/1.64 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4' [53, 1
% 0.87/1.64 ] (w:1, o:117, a:1, s:1, b:0),
% 0.87/1.64 'tc_Lambda_OdB' [54, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.87/1.64 'c_List_Ofoldl' [55, 5] (w:1, o:198, a:1, s:1, b:0),
% 0.87/1.64 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [56, 1
% 0.87/1.64 ] (w:1, o:118, a:1, s:1, b:0),
% 0.87/1.64 'c_Lambda_OdB_OVar' [57, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.87/1.64 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [58, 1
% 0.87/1.64 ] (w:1, o:114, a:1, s:1, b:0),
% 0.87/1.64 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [59, 1] (w:1
% 0.87/1.64 , o:121, a:1, s:1, b:0),
% 0.87/1.64 'c_ListApplication_Osko__ListApplication__Xlem__1__4' [60, 1] (w:1
% 0.87/1.64 , o:122, a:1, s:1, b:0),
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% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 260838
% 35.94/36.33 Kept: 59462
% 35.94/36.33 Inuse: 647
% 35.94/36.33 Deleted: 395
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 276316
% 35.94/36.33 Kept: 61533
% 35.94/36.33 Inuse: 650
% 35.94/36.33 Deleted: 402
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying clauses:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 295125
% 35.94/36.33 Kept: 64378
% 35.94/36.33 Inuse: 665
% 35.94/36.33 Deleted: 2223
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 309366
% 35.94/36.33 Kept: 66778
% 35.94/36.33 Inuse: 680
% 35.94/36.33 Deleted: 2223
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 320362
% 35.94/36.33 Kept: 69440
% 35.94/36.33 Inuse: 690
% 35.94/36.33 Deleted: 2223
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 340412
% 35.94/36.33 Kept: 73511
% 35.94/36.33 Inuse: 725
% 35.94/36.33 Deleted: 2223
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 352796
% 35.94/36.33 Kept: 76132
% 35.94/36.33 Inuse: 745
% 35.94/36.33 Deleted: 2223
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 35.94/36.33 Intermediate Status:
% 35.94/36.33 Generated: 368569
% 35.94/36.33 Kept: 80066
% 35.94/36.33 Inuse: 758
% 35.94/36.33 Deleted: 2225
% 35.94/36.33 Deletedinuse: 2
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying inuse:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33 Resimplifying clauses:
% 35.94/36.33 Done
% 35.94/36.33
% 35.94/36.33
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 377960
% 133.93/134.34 Kept: 82364
% 133.93/134.34 Inuse: 768
% 133.93/134.34 Deleted: 2345
% 133.93/134.34 Deletedinuse: 2
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 389963
% 133.93/134.34 Kept: 84567
% 133.93/134.34 Inuse: 788
% 133.93/134.34 Deleted: 2346
% 133.93/134.34 Deletedinuse: 3
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 403702
% 133.93/134.34 Kept: 86904
% 133.93/134.34 Inuse: 803
% 133.93/134.34 Deleted: 2346
% 133.93/134.34 Deletedinuse: 3
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 420183
% 133.93/134.34 Kept: 89172
% 133.93/134.34 Inuse: 818
% 133.93/134.34 Deleted: 2348
% 133.93/134.34 Deletedinuse: 5
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 428469
% 133.93/134.34 Kept: 91627
% 133.93/134.34 Inuse: 833
% 133.93/134.34 Deleted: 2348
% 133.93/134.34 Deletedinuse: 5
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 441844
% 133.93/134.34 Kept: 94644
% 133.93/134.34 Inuse: 848
% 133.93/134.34 Deleted: 2348
% 133.93/134.34 Deletedinuse: 5
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34 Resimplifying inuse:
% 133.93/134.34 Done
% 133.93/134.34
% 133.93/134.34
% 133.93/134.34 Intermediate Status:
% 133.93/134.34 Generated: 449954
% 133.93/134.35 Kept: 96730
% 133.93/134.35 Inuse: 861
% 133.93/134.35 Deleted: 2349
% 133.93/134.35 Deletedinuse: 6
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 461787
% 133.93/134.35 Kept: 99253
% 133.93/134.35 Inuse: 878
% 133.93/134.35 Deleted: 2351
% 133.93/134.35 Deletedinuse: 8
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 511670
% 133.93/134.35 Kept: 101272
% 133.93/134.35 Inuse: 912
% 133.93/134.35 Deleted: 2353
% 133.93/134.35 Deletedinuse: 10
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying clauses:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 581629
% 133.93/134.35 Kept: 103302
% 133.93/134.35 Inuse: 967
% 133.93/134.35 Deleted: 3071
% 133.93/134.35 Deletedinuse: 10
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 694385
% 133.93/134.35 Kept: 105308
% 133.93/134.35 Inuse: 1023
% 133.93/134.35 Deleted: 3073
% 133.93/134.35 Deletedinuse: 11
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 758658
% 133.93/134.35 Kept: 107311
% 133.93/134.35 Inuse: 1068
% 133.93/134.35 Deleted: 3073
% 133.93/134.35 Deletedinuse: 11
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 811915
% 133.93/134.35 Kept: 111582
% 133.93/134.35 Inuse: 1119
% 133.93/134.35 Deleted: 3073
% 133.93/134.35 Deletedinuse: 11
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 868794
% 133.93/134.35 Kept: 113602
% 133.93/134.35 Inuse: 1164
% 133.93/134.35 Deleted: 3073
% 133.93/134.35 Deletedinuse: 11
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 940638
% 133.93/134.35 Kept: 115603
% 133.93/134.35 Inuse: 1250
% 133.93/134.35 Deleted: 3079
% 133.93/134.35 Deletedinuse: 17
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1051476
% 133.93/134.35 Kept: 117603
% 133.93/134.35 Inuse: 1418
% 133.93/134.35 Deleted: 3080
% 133.93/134.35 Deletedinuse: 17
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1076534
% 133.93/134.35 Kept: 119733
% 133.93/134.35 Inuse: 1448
% 133.93/134.35 Deleted: 3080
% 133.93/134.35 Deletedinuse: 17
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying clauses:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1122486
% 133.93/134.35 Kept: 121786
% 133.93/134.35 Inuse: 1518
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1206446
% 133.93/134.35 Kept: 126215
% 133.93/134.35 Inuse: 1569
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1463124
% 133.93/134.35 Kept: 128217
% 133.93/134.35 Inuse: 1632
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1548890
% 133.93/134.35 Kept: 130242
% 133.93/134.35 Inuse: 1724
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1699112
% 133.93/134.35 Kept: 132258
% 133.93/134.35 Inuse: 1853
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1743420
% 133.93/134.35 Kept: 135728
% 133.93/134.35 Inuse: 1875
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35 Resimplifying inuse:
% 133.93/134.35 Done
% 133.93/134.35
% 133.93/134.35
% 133.93/134.35 Intermediate Status:
% 133.93/134.35 Generated: 1817469
% 133.93/134.35 Kept: 137778
% 133.93/134.35 Inuse: 1925
% 133.93/134.35 Deleted: 4196
% 133.93/134.35 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 1841183
% 291.07/291.51 Kept: 140642
% 291.07/291.51 Inuse: 1927
% 291.07/291.51 Deleted: 4196
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying clauses:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 1901707
% 291.07/291.51 Kept: 142649
% 291.07/291.51 Inuse: 1975
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 1962466
% 291.07/291.51 Kept: 144691
% 291.07/291.51 Inuse: 2028
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 2097647
% 291.07/291.51 Kept: 146703
% 291.07/291.51 Inuse: 2127
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 2212674
% 291.07/291.51 Kept: 148718
% 291.07/291.51 Inuse: 2180
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 2354556
% 291.07/291.51 Kept: 150744
% 291.07/291.51 Inuse: 2279
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 2525897
% 291.07/291.51 Kept: 152764
% 291.07/291.51 Inuse: 2383
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 2747179
% 291.07/291.51 Kept: 154791
% 291.07/291.51 Inuse: 2483
% 291.07/291.51 Deleted: 4806
% 291.07/291.51 Deletedinuse: 19
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3094463
% 291.07/291.51 Kept: 156800
% 291.07/291.51 Inuse: 2563
% 291.07/291.51 Deleted: 4808
% 291.07/291.51 Deletedinuse: 21
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3139181
% 291.07/291.51 Kept: 158856
% 291.07/291.51 Inuse: 2602
% 291.07/291.51 Deleted: 4815
% 291.07/291.51 Deletedinuse: 22
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3189645
% 291.07/291.51 Kept: 160865
% 291.07/291.51 Inuse: 2644
% 291.07/291.51 Deleted: 4815
% 291.07/291.51 Deletedinuse: 22
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying clauses:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3367326
% 291.07/291.51 Kept: 162869
% 291.07/291.51 Inuse: 2696
% 291.07/291.51 Deleted: 5533
% 291.07/291.51 Deletedinuse: 22
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3499734
% 291.07/291.51 Kept: 164870
% 291.07/291.51 Inuse: 2763
% 291.07/291.51 Deleted: 5556
% 291.07/291.51 Deletedinuse: 44
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3605924
% 291.07/291.51 Kept: 168529
% 291.07/291.51 Inuse: 2773
% 291.07/291.51 Deleted: 5556
% 291.07/291.51 Deletedinuse: 44
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3728702
% 291.07/291.51 Kept: 170541
% 291.07/291.51 Inuse: 2818
% 291.07/291.51 Deleted: 5556
% 291.07/291.51 Deletedinuse: 44
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 3802082
% 291.07/291.51 Kept: 172602
% 291.07/291.51 Inuse: 2836
% 291.07/291.51 Deleted: 5556
% 291.07/291.51 Deletedinuse: 44
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 4013554
% 291.07/291.51 Kept: 174703
% 291.07/291.51 Inuse: 2896
% 291.07/291.51 Deleted: 5557
% 291.07/291.51 Deletedinuse: 44
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 4125323
% 291.07/291.51 Kept: 176742
% 291.07/291.51 Inuse: 2929
% 291.07/291.51 Deleted: 5559
% 291.07/291.51 Deletedinuse: 46
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 4611123
% 291.07/291.51 Kept: 178756
% 291.07/291.51 Inuse: 2989
% 291.07/291.51 Deleted: 5559
% 291.07/291.51 Deletedinuse: 46
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 4872899
% 291.07/291.51 Kept: 180759
% 291.07/291.51 Inuse: 3045
% 291.07/291.51 Deleted: 5592
% 291.07/291.51 Deletedinuse: 70
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying clauses:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 4983174
% 291.07/291.51 Kept: 182774
% 291.07/291.51 Inuse: 3107
% 291.07/291.51 Deleted: 8599
% 291.07/291.51 Deletedinuse: 76
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 5138498
% 291.07/291.51 Kept: 184787
% 291.07/291.51 Inuse: 3209
% 291.07/291.51 Deleted: 8599
% 291.07/291.51 Deletedinuse: 76
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 Generated: 5276634
% 291.07/291.51 Kept: 187068
% 291.07/291.51 Inuse: 3274
% 291.07/291.51 Deleted: 8599
% 291.07/291.51 Deletedinuse: 76
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51 Resimplifying inuse:
% 291.07/291.51 Done
% 291.07/291.51
% 291.07/291.51
% 291.07/291.51 Intermediate Status:
% 291.07/291.51 GeneCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------