TSTP Solution File: LCL782-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL782-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 07:57:54 EDT 2022

% Result   : Timeout 294.86s 295.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL782-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jul  4 18:50:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.78/1.18  *** allocated 10000 integers for termspace/termends
% 0.78/1.18  *** allocated 10000 integers for clauses
% 0.78/1.18  *** allocated 10000 integers for justifications
% 0.78/1.18  Bliksem 1.12
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  Automatic Strategy Selection
% 0.78/1.18  
% 0.78/1.18  Clauses:
% 0.78/1.18  [
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.78/1.18    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.78/1.18    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.78/1.18    , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.78/1.18    , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.78/1.18    , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.78/1.18    , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ), 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ), 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 
% 0.78/1.18    'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z, 
% 0.78/1.18    'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), Z ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 
% 0.78/1.18    'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z, 
% 0.78/1.18    'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), Z ) ) ],
% 0.78/1.18     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( 
% 0.78/1.18    Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( 
% 0.78/1.18    Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'( 
% 0.78/1.18    X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.78/1.18    , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z, 
% 0.78/1.18    'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.78/1.18     [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ), 
% 0.78/1.18    'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.78/1.18     [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.78/1.18    X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'( 
% 0.78/1.18    X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL( 
% 0.78/1.18    hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.78/1.18     ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.78/1.18    , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.78/1.18     ), Z ), U ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.78/1.18     ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.78/1.18     ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ), 
% 0.78/1.18    =( Y, T ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ), 
% 0.78/1.18    =( X, T ) ],
% 0.78/1.18     [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X, 
% 0.78/1.18    'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'( 
% 0.78/1.18    Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ), 
% 0.78/1.18    hAPP( Z, T ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.78/1.18    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.78/1.18    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.78/1.18    T, Y, Z ), Z ) ) ],
% 0.78/1.18     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.78/1.18    Y, T, Z ), Z ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.78/1.18     ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 
% 0.78/1.18    'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.78/1.18     [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'( 
% 0.78/1.18    Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.78/1.18     [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X, 
% 0.78/1.18    'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.78/1.18     [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.78/1.18    , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.78/1.18     ), Z ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.78/1.18    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.78/1.18     ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.78/1.18    , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.18    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.18     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), T ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.78/1.18    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.78/1.18    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), T ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.78/1.18    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.78/1.18     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.18     ), 'tc_nat' ) ) ],
% 0.78/1.18     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.18     ), 'tc_nat' ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.78/1.18     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.78/1.18     [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ), 
% 0.78/1.18    'c_List_Olist_ONil'( Z ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ), 
% 0.78/1.18    ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.78/1.18    , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U, 
% 0.78/1.18    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.78/1.18    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.78/1.18    'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.78/1.18    'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat', 
% 0.78/1.18    'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 
% 0.78/1.18    'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.78/1.18    , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.78/1.18    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.78/1.18    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.78/1.18     ), Z ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.78/1.18     ), Z ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.78/1.18     ) ) ) ],
% 0.78/1.18     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.78/1.18    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.78/1.18     ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.78/1.18     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.78/1.18    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.78/1.18    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.78/1.18    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.78/1.18     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.78/1.18    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.78/1.18     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.78/1.18    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'( 
% 0.78/1.18    Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.78/1.18     ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.78/1.18    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.78/1.18     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 
% 0.78/1.18    'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ), 
% 0.78/1.18    'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~( 
% 0.78/1.18    hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.78/1.18    'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.78/1.18     [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), 
% 0.78/1.18    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.78/1.18    , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 
% 0.78/1.18    'c_Type_Otypings'( X, T, U ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ), 
% 0.78/1.18    'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.78/1.18    , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.78/1.18     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'( 
% 0.78/1.18    'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y, 
% 0.78/1.18    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.18     [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( 
% 0.78/1.18    'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.78/1.18     [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 
% 0.78/1.18    X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.78/1.18     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.78/1.18     ), Z, X ) ) ],
% 0.78/1.18     [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'( 
% 0.78/1.18    Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.78/1.18    , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W, 
% 0.78/1.18    'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.78/1.18     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.78/1.18     ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.78/1.18     [ =( 'c_Transitive__Closure_Ortranclp'( 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( X, Y ), Y ), 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.78/1.18    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.78/1.18    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.78/1.18    Y ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ), 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.78/1.18    , Y ) ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z, 
% 0.78/1.18    X, T ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y, 
% 0.78/1.18    X, T ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.78/1.18    , 'c_List_Olist_ONil'( T ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.78/1.18    'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.78/1.18    'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.78/1.18    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.78/1.18    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.78/1.18     ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.78/1.18     [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.78/1.18     [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.78/1.18     ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP( 
% 0.78/1.18    'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.78/1.18    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.78/1.18     ],
% 0.78/1.18     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.78/1.18     [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ), 
% 0.78/1.18    'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X, 
% 0.78/1.18    'tc_nat' ) ],
% 0.78/1.18     [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL( 
% 0.78/1.18    hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.78/1.18    , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.78/1.18    , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.78/1.18     ) ) ) ],
% 0.78/1.18     [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL( 
% 0.78/1.18    hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.78/1.18    , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.78/1.18    , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.78/1.18     ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.78/1.18    , 'c_List_Olist_ONil'( X ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.78/1.18    , 'c_List_Olist_ONil'( X ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.78/1.18     ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.78/1.18    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.78/1.18    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.78/1.18    X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.78/1.18    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.78/1.18     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.78/1.18    , X ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.18    , Y, X ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.18    , Y, X ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.78/1.18     ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.78/1.18     ), Z ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'( 
% 0.78/1.18    X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.78/1.18     ) ],
% 0.78/1.18     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.78/1.18    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.78/1.18     ) ],
% 0.78/1.18     [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ), 
% 0.78/1.18    'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.78/1.18     ), U ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.78/1.18    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.78/1.18    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.18     ), =( Z, Y ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.18     ) ],
% 0.78/1.18     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.78/1.18    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.78/1.18    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.78/1.18     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.78/1.18    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.18    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.18    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.18     ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.78/1.18    T, X ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ), 
% 0.78/1.18    ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP( 
% 0.78/1.18    'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.78/1.18     ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 0.78/1.18    'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.78/1.18    , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), 
% 0.78/1.18    'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.78/1.18     ), W ), W ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ), 
% 0.78/1.18    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.78/1.18    , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.78/1.18    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.18     [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~( 
% 0.78/1.18    'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ), 
% 0.78/1.18    hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), 
% 0.78/1.18    X ) ],
% 0.78/1.18     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.78/1.18    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 0.78/1.18    'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 
% 0.78/1.18    'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y, 
% 0.78/1.18    'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.78/1.18     ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.78/1.18    , Y ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.78/1.18    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.18     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.78/1.18    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ), 
% 0.78/1.18    hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.78/1.18     ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.78/1.18     ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.78/1.18    , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.18    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.78/1.18    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 0.78/1.18    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.18    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.78/1.18    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.78/1.18    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.18    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.78/1.18    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 0.78/1.18    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.18    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.78/1.18    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'( 
% 0.78/1.18    'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.78/1.18     ) ), =( X, T ) ],
% 0.78/1.18     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.78/1.18     ) ), =( Y, U ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.78/1.18     ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.78/1.18     [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ), 
% 0.78/1.18    ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ), 
% 0.78/1.18    'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.78/1.18     [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.78/1.18    'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.78/1.18    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.78/1.18    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.78/1.18    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.78/1.18     ) ],
% 0.78/1.18     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.78/1.18    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.78/1.18    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.78/1.18     ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.78/1.18     ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.78/1.18     [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'( 
% 0.78/1.18    'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X, 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.78/1.18    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.78/1.18    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.78/1.18    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.78/1.18     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.78/1.18    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.18    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.78/1.18     ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.78/1.18    , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.78/1.18     ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.18    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.18    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.18     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.18    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( 
% 0.78/1.18    X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ), 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.78/1.18     [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP( 
% 0.78/1.18    X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~( 
% 0.78/1.18    'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 
% 0.78/1.18    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.78/1.18     ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'( 
% 0.78/1.18    Z ) ) ) ],
% 0.78/1.18     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( 
% 0.78/1.18    Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), Z ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.78/1.18     ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.78/1.18    'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.78/1.18     ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.78/1.18    'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.78/1.18     ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.78/1.18    Z ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.78/1.18    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.78/1.18    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.78/1.18     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.78/1.18     ), X ), Y ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( 
% 0.78/1.18    Z, U ), W ) ) ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( 
% 0.78/1.18    Z, U ), W ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.78/1.18    , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.78/1.18     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.78/1.18    'tc_nat' ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.78/1.18    , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( 
% 0.78/1.18    hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.78/1.18    'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.78/1.18     ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X, 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.78/1.18    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.78/1.18    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), 
% 0.78/1.18    ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.78/1.18     [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), X ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z, 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.78/1.18     ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.78/1.18    , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.78/1.18    , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.78/1.18     ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.78/1.18    , Y ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ), 
% 0.78/1.18    hAPP( X, T ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.78/1.18    Z ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.78/1.18    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.78/1.18     ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.78/1.18    , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__4'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.78/1.18    'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.78/1.18     [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.78/1.18    , Z ) ) ],
% 0.78/1.18     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.78/1.18    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.78/1.18    X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.78/1.18     ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.78/1.18    X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'( 
% 0.78/1.18    X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.78/1.18    , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.78/1.18     ],
% 0.78/1.18     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.78/1.18    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.78/1.18    'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.78/1.18    'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat', 
% 0.78/1.18    'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.78/1.18    , 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______', 
% 0.78/1.18    'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), 'v_T_Ha______' ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.78/1.18    T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.78/1.18    ,
% 0.78/1.18     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.78/1.18     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( 
% 0.78/1.18    Z, X, 'tc_nat' ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'( 
% 0.78/1.18    'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, 
% 0.78/1.18    Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____', 
% 0.78/1.18    'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.78/1.18     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), 
% 0.78/1.18    'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.78/1.18     ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.78/1.18    , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ), 
% 0.78/1.18    'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z, 
% 0.78/1.18    X, U ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'( 
% 0.78/1.18    X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__2'( X ) ), 
% 0.78/1.18    'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ), 
% 0.78/1.18    hAPP( X, T ) ) ],
% 0.78/1.18     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.78/1.18     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ), 
% 0.78/1.18    'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.78/1.18    , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T, 
% 0.78/1.18    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.78/1.18    , Y ) ],
% 0.78/1.18     [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ), 
% 0.78/1.18    'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.78/1.18    , Z, U, W ) ) ) ],
% 0.78/1.18     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ), 
% 0.78/1.18    'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ), 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y, 
% 0.78/1.18    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.78/1.18     [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'( 
% 0.78/1.18    Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 
% 0.78/1.18    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~( 
% 0.78/1.18    'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.78/1.18    , Z ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~( 
% 0.78/1.18    hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 0.78/1.18    hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.78/1.18     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ), 
% 0.78/1.18    'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.78/1.18     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', 
% 0.78/1.18    X ), Y ) ), Z ), Y ), X ) ],
% 0.78/1.18     [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.78/1.18    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.78/1.18     ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.78/1.18     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.78/1.18    'tc_Lambda_OdB' ) ) ],
% 0.78/1.18     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.78/1.18    , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.78/1.18     ) ) ) ],
% 0.78/1.18     [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X, 
% 0.78/1.18    'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ), 
% 0.78/1.18    'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 
% 0.78/1.18    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.78/1.18    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 
% 0.78/1.18    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.78/1.18     [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.78/1.18     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ), 
% 0.78/1.18    'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.78/1.18     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ), 
% 0.78/1.18    'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.78/1.18     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'( 
% 0.78/1.18    Z ) ) ) ],
% 0.78/1.18     [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 
% 0.78/1.18    'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.78/1.18    'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB', 
% 0.78/1.18    'tc_Lambda_OdB' ) ), 'v_u____' ), 'v_i____' ) ) ) ) ],
% 0.78/1.18     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.78/1.18    'class_Orderings_Opreorder'( Y ) ) ],
% 0.78/1.18     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.78/1.18    'class_Orderings_Oorder'( Y ) ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.78/1.18     ],
% 0.78/1.18     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.78/1.18     ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.78/1.18     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.78/1.18     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.78/1.18     [ 'c_fequal'( X, X, Y ) ],
% 0.78/1.18     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.78/1.18  ] .
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  percentage equality = 0.365352, percentage horn = 0.893993
% 0.78/1.18  This is a problem with some equality
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  Options Used:
% 0.78/1.18  
% 0.78/1.18  useres =            1
% 0.78/1.18  useparamod =        1
% 0.78/1.18  useeqrefl =         1
% 0.78/1.18  useeqfact =         1
% 0.78/1.18  usefactor =         1
% 0.78/1.18  usesimpsplitting =  0
% 0.78/1.18  usesimpdemod =      5
% 0.78/1.18  usesimpres =        3
% 0.78/1.18  
% 0.78/1.18  resimpinuse      =  1000
% 0.78/1.18  resimpclauses =     20000
% 0.78/1.18  substype =          eqrewr
% 0.78/1.18  backwardsubs =      1
% 0.78/1.18  selectoldest =      5
% 0.78/1.18  
% 0.78/1.18  litorderings [0] =  split
% 0.78/1.18  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.78/1.18  
% 0.78/1.18  termordering =      kbo
% 0.78/1.18  
% 0.78/1.18  litapriori =        0
% 0.78/1.18  termapriori =       1
% 0.78/1.18  litaposteriori =    0
% 0.78/1.18  termaposteriori =   0
% 0.78/1.18  demodaposteriori =  0
% 0.78/1.18  ordereqreflfact =   0
% 0.78/1.18  
% 0.78/1.18  litselect =         negord
% 0.78/1.18  
% 0.78/1.18  maxweight =         15
% 0.78/1.18  maxdepth =          30000
% 0.78/1.18  maxlength =         115
% 0.78/1.18  maxnrvars =         195
% 0.78/1.18  excuselevel =       1
% 0.78/1.18  increasemaxweight = 1
% 0.78/1.18  
% 0.78/1.18  maxselected =       10000000
% 0.78/1.18  maxnrclauses =      10000000
% 0.78/1.18  
% 0.78/1.18  showgenerated =    0
% 0.78/1.18  showkept =         0
% 0.78/1.18  showselected =     0
% 0.78/1.18  showdeleted =      0
% 0.78/1.18  showresimp =       1
% 0.78/1.18  showstatus =       2000
% 0.78/1.18  
% 0.78/1.18  prologoutput =     1
% 0.78/1.18  nrgoals =          5000000
% 0.78/1.18  totalproof =       1
% 0.78/1.18  
% 0.78/1.18  Symbols occurring in the translation:
% 0.78/1.18  
% 0.78/1.18  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.78/1.18  .  [1, 2]      (w:1, o:150, a:1, s:1, b:0), 
% 0.78/1.18  !  [4, 1]      (w:0, o:104, a:1, s:1, b:0), 
% 0.78/1.18  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.78/1.18  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.78/1.18  'class_Ring__and__Field_Oidom'  [40, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 0.78/1.18  'class_Int_Onumber__ring'  [41, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 0.78/1.18  'c_HOL_Oplus__class_Oplus'  [43, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 0.78/1.18  hAPP  [44, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 0.78/1.18  'c_HOL_Ozero__class_Ozero'  [46, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 0.78/1.18  hBOOL  [49, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 0.78/1.18  'c_Lambda_OdB_OApp'  [50, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'  [51, 1
% 1.80/2.20    ]      (w:1, o:115, a:1, s:1, b:0), 
% 1.80/2.20  'c_Lambda_OdB_OAbs'  [52, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'  [53, 1
% 1.80/2.20    ]      (w:1, o:117, a:1, s:1, b:0), 
% 1.80/2.20  'tc_Lambda_OdB'  [54, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 1.80/2.20  'c_List_Ofoldl'  [55, 5]      (w:1, o:198, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'  [56, 1
% 1.80/2.20    ]      (w:1, o:118, a:1, s:1, b:0), 
% 1.80/2.20  'c_Lambda_OdB_OVar'  [57, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'  [58, 1
% 1.80/2.20    ]      (w:1, o:114, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__Xlem__1__3'  [59, 1]      (w:1
% 1.80/2.20    , o:121, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__Xlem__1__4'  [60, 1]      (w:1
% 1.80/2.20    , o:122, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__Xlem__1__1'  [61, 1]      (w:1
% 1.80/2.20    , o:123, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListApplication_Osko__ListApplication__Xlem__1__2'  [62, 1]      (w:1
% 1.80/2.20    , o:120, a:1, s:1, b:0), 
% 1.80/2.20  'c_Type_Otype_OFun'  [64, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 1.80/2.20  'c_Type_Osko__Type__Xlist__app__typeD__1__1'  [67, 4]      (w:1, o:190, a:1
% 1.80/2.20    , s:1, b:0), 
% 1.80/2.20  'tc_Type_Otype'  [68, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 1.80/2.20  'c_List_Ofoldr'  [69, 5]      (w:1, o:199, a:1, s:1, b:0), 
% 1.80/2.20  'c_Type_Otyping'  [70, 3]      (w:1, o:179, a:1, s:1, b:0), 
% 1.80/2.20  'c_Type_Osko__Type__Xlist__app__typeE__1__1'  [71, 4]      (w:1, o:191, a:1
% 1.80/2.20    , s:1, b:0), 
% 1.80/2.20  'c_Type_Otypings'  [72, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 1.80/2.20  'c_List_Olist_ONil'  [76, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 1.80/2.20  'c_List_Olist_OCons'  [77, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 1.80/2.20  'c_List_Oappend'  [78, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 1.80/2.20  'c_ListOrder_Ostep1'  [80, 4]      (w:1, o:192, a:1, s:1, b:0), 
% 1.80/2.20  'class_Ring__and__Field_Ocomm__semiring__1'  [83, 1]      (w:1, o:125, a:1
% 1.80/2.20    , s:1, b:0), 
% 1.80/2.20  'class_OrderedGroup_Ocomm__monoid__add'  [84, 1]      (w:1, o:126, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'c_Lambda_Obeta'  [87, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 1.80/2.20  'c_Transitive__Closure_Ortranclp'  [88, 2]      (w:1, o:176, a:1, s:1, b:0)
% 1.80/2.20    , 
% 1.80/2.20  'c_Lambda_Osubst'  [89, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 1.80/2.20  'c_InductTermi_OIT'  [92, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 1.80/2.20  'v_sko__InductTermi__XIT__Xcases__5'  [93, 1]      (w:1, o:128, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'v_sko__InductTermi__XIT__Xcases__3'  [94, 1]      (w:1, o:130, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'v_sko__InductTermi__XIT__Xcases__1'  [95, 1]      (w:1, o:131, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'c_List_Olistsp'  [96, 3]      (w:1, o:183, a:1, s:1, b:0), 
% 1.80/2.20  'v_ea______'  [98, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 1.80/2.20  'v_ua______'  [99, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 1.80/2.20  'v_T____'  [100, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 1.80/2.20  'c_Lambda_OdB_OdB__case'  [108, 5]      (w:1, o:200, a:1, s:1, b:0), 
% 1.80/2.20  'v_sko__InductTermi__XIT__Xcases__4'  [109, 1]      (w:1, o:127, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'tc_nat'  [110, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 1.80/2.20  'v_sko__InductTermi__XIT__Xcases__6'  [111, 1]      (w:1, o:132, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'c_Lambda_Osubstn'  [116, 3]      (w:1, o:184, a:1, s:1, b:0), 
% 1.80/2.20  'c_Lambda_Oliftn'  [117, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 1.80/2.20  'class_OrderedGroup_Olordered__ab__group__add'  [118, 1]      (w:1, o:133
% 1.80/2.20    , a:1, s:1, b:0), 
% 1.80/2.20  'class_Orderings_Opreorder'  [120, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 1.80/2.20  'c_HOL_Oord__class_Oless'  [121, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 1.80/2.20  'class_Orderings_Oorder'  [122, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 1.80/2.20  'class_OrderedGroup_Oab__group__add'  [123, 1]      (w:1, o:136, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'class_OrderedGroup_Oab__semigroup__add'  [124, 1]      (w:1, o:137, a:1
% 1.80/2.20    , s:1, b:0), 
% 1.80/2.20  'c_COMBC'  [130, 5]      (w:1, o:201, a:1, s:1, b:0), 
% 1.80/2.20  'c_List_Omap'  [132, 4]      (w:1, o:193, a:1, s:1, b:0), 
% 1.80/2.20  'v_sko__InductTermi__XIT__Xcases__2'  [133, 1]      (w:1, o:129, a:1, s:1
% 1.80/2.20    , b:0), 
% 1.80/2.20  'tc_fun'  [134, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 1.80/2.20  'c_Type_Oshift'  [135, 4]      (w:1, o:194, a:1, s:1, b:0), 
% 1.80/2.20  'class_OrderedGroup_Opordered__comm__monoid__add'  [136, 1]      (w:1, o:
% 7.32/7.72    138, a:1, s:1, b:0), 
% 7.32/7.72  'class_OrderedGroup_Omonoid__add'  [138, 1]      (w:1, o:139, a:1, s:1, b:0
% 7.32/7.72    ), 
% 7.32/7.72  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [140, 1]      (w:1, o:140
% 7.32/7.72    , a:1, s:1, b:0), 
% 7.32/7.72  'class_OrderedGroup_Ocancel__semigroup__add'  [141, 1]      (w:1, o:141, a:
% 7.32/7.72    1, s:1, b:0), 
% 7.32/7.72  'c_Lambda_Olift'  [147, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 7.32/7.72  'c_OrderedGroup_Omonoid__add'  [151, 3]      (w:1, o:187, a:1, s:1, b:0), 
% 7.32/7.72  'class_Ring__and__Field_Oordered__idom'  [152, 1]      (w:1, o:142, a:1, s:
% 7.32/7.72    1, b:0), 
% 7.32/7.72  'class_Orderings_Olinorder'  [158, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 7.32/7.72  'c_OrderedGroup_Osemigroup__add'  [159, 2]      (w:1, o:178, a:1, s:1, b:0)
% 7.32/7.72    , 
% 7.32/7.72  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [160, 1]      
% 7.32/7.72    (w:1, o:144, a:1, s:1, b:0), 
% 7.32/7.72  'c_Lambda_OdB_OdB__rec'  [161, 5]      (w:1, o:202, a:1, s:1, b:0), 
% 7.32/7.72  'class_OrderedGroup_Osemigroup__add'  [162, 1]      (w:1, o:145, a:1, s:1
% 7.32/7.72    , b:0), 
% 7.32/7.72  'c_Type_Osko__Type__Xvar__app__types__1__1'  [164, 4]      (w:1, o:195, a:1
% 7.32/7.72    , s:1, b:0), 
% 7.32/7.72  'class_Ring__and__Field_Oordered__semidom'  [165, 1]      (w:1, o:146, a:1
% 7.32/7.72    , s:1, b:0), 
% 7.32/7.72  't_a'  [166, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 7.32/7.72  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [171, 1]      
% 7.32/7.72    (w:1, o:147, a:1, s:1, b:0), 
% 7.32/7.72  'v_e____'  [173, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 7.32/7.72  'v_u____'  [174, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 7.32/7.72  'c_Type_Osko__Type__Xvar__app__typesE__1__1'  [178, 4]      (w:1, o:196, a:
% 7.32/7.72    1, s:1, b:0), 
% 7.32/7.72  'v_ia______'  [186, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 7.32/7.72  'v_n____'  [187, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 7.32/7.72  'v_rs____'  [188, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 7.32/7.72  'v_T_Ha______'  [189, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 7.32/7.72  'v_i____'  [190, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 7.32/7.72  'v_T_H____'  [191, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 7.32/7.72  'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'  [193, 3]      (w:
% 7.32/7.72    1, o:188, a:1, s:1, b:0), 
% 7.32/7.72  'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'  [
% 7.32/7.72    194, 4]      (w:1, o:197, a:1, s:1, b:0), 
% 7.32/7.72  'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'  [195, 1
% 7.32/7.72    ]      (w:1, o:149, a:1, s:1, b:0), 
% 7.32/7.72  'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'  [196, 1
% 7.32/7.72    ]      (w:1, o:148, a:1, s:1, b:0), 
% 7.32/7.72  'tc_bool'  [199, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 7.32/7.72  'c_fequal'  [200, 3]      (w:1, o:189, a:1, s:1, b:0).
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Starting Search:
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    6022
% 7.32/7.72  Kept:         2297
% 7.32/7.72  Inuse:        106
% 7.32/7.72  Deleted:      0
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    15954
% 7.32/7.72  Kept:         4314
% 7.32/7.72  Inuse:        205
% 7.32/7.72  Deleted:      1
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    23752
% 7.32/7.72  Kept:         6325
% 7.32/7.72  Inuse:        266
% 7.32/7.72  Deleted:      3
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    39344
% 7.32/7.72  Kept:         8946
% 7.32/7.72  Inuse:        293
% 7.32/7.72  Deleted:      3
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    48509
% 7.32/7.72  Kept:         10947
% 7.32/7.72  Inuse:        342
% 7.32/7.72  Deleted:      4
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    54840
% 7.32/7.72  Kept:         13198
% 7.32/7.72  Inuse:        349
% 7.32/7.72  Deleted:      4
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    60862
% 7.32/7.72  Kept:         15231
% 7.32/7.72  Inuse:        368
% 7.32/7.72  Deleted:      4
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    69244
% 7.32/7.72  Kept:         17247
% 7.32/7.72  Inuse:        408
% 7.32/7.72  Deleted:      6
% 7.32/7.72  Deletedinuse: 0
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    75947
% 7.32/7.72  Kept:         19371
% 7.32/7.72  Inuse:        420
% 7.32/7.72  Deleted:      17
% 7.32/7.72  Deletedinuse: 1
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  Resimplifying clauses:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    82398
% 7.32/7.72  Kept:         21377
% 7.32/7.72  Inuse:        439
% 7.32/7.72  Deleted:      155
% 7.32/7.72  Deletedinuse: 1
% 7.32/7.72  
% 7.32/7.72  Resimplifying inuse:
% 7.32/7.72  Done
% 7.32/7.72  
% 7.32/7.72  
% 7.32/7.72  Intermediate Status:
% 7.32/7.72  Generated:    91504
% 33.72/34.11  Kept:         23691
% 33.72/34.11  Inuse:        465
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    98818
% 33.72/34.11  Kept:         25726
% 33.72/34.11  Inuse:        480
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    105793
% 33.72/34.11  Kept:         28059
% 33.72/34.11  Inuse:        495
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    114500
% 33.72/34.11  Kept:         30087
% 33.72/34.11  Inuse:        517
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    131209
% 33.72/34.11  Kept:         32296
% 33.72/34.11  Inuse:        530
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    158028
% 33.72/34.11  Kept:         36608
% 33.72/34.11  Inuse:        555
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    168673
% 33.72/34.11  Kept:         38637
% 33.72/34.11  Inuse:        587
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    174668
% 33.72/34.11  Kept:         40662
% 33.72/34.11  Inuse:        595
% 33.72/34.11  Deleted:      155
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying clauses:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    185504
% 33.72/34.11  Kept:         43195
% 33.72/34.11  Inuse:        605
% 33.72/34.11  Deleted:      311
% 33.72/34.11  Deletedinuse: 1
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    197376
% 33.72/34.11  Kept:         45739
% 33.72/34.11  Inuse:        608
% 33.72/34.11  Deleted:      314
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    202842
% 33.72/34.11  Kept:         47851
% 33.72/34.11  Inuse:        615
% 33.72/34.11  Deleted:      342
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    215462
% 33.72/34.11  Kept:         50005
% 33.72/34.11  Inuse:        618
% 33.72/34.11  Deleted:      354
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    229356
% 33.72/34.11  Kept:         52110
% 33.72/34.11  Inuse:        624
% 33.72/34.11  Deleted:      368
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    235785
% 33.72/34.11  Kept:         54258
% 33.72/34.11  Inuse:        634
% 33.72/34.11  Deleted:      408
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    250731
% 33.72/34.11  Kept:         56420
% 33.72/34.11  Inuse:        637
% 33.72/34.11  Deleted:      420
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    258630
% 33.72/34.11  Kept:         59030
% 33.72/34.11  Inuse:        642
% 33.72/34.11  Deleted:      440
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    273591
% 33.72/34.11  Kept:         61065
% 33.72/34.11  Inuse:        644
% 33.72/34.11  Deleted:      448
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying clauses:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    292109
% 33.72/34.11  Kept:         63902
% 33.72/34.11  Inuse:        659
% 33.72/34.11  Deleted:      2132
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    306269
% 33.72/34.11  Kept:         66303
% 33.72/34.11  Inuse:        674
% 33.72/34.11  Deleted:      2132
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    317527
% 33.72/34.11  Kept:         68969
% 33.72/34.11  Inuse:        684
% 33.72/34.11  Deleted:      2132
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    336068
% 33.72/34.11  Kept:         71010
% 33.72/34.11  Inuse:        713
% 33.72/34.11  Deleted:      2132
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    340263
% 33.72/34.11  Kept:         73022
% 33.72/34.11  Inuse:        714
% 33.72/34.11  Deleted:      2132
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    352681
% 33.72/34.11  Kept:         75637
% 33.72/34.11  Inuse:        734
% 33.72/34.11  Deleted:      2132
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    369275
% 33.72/34.11  Kept:         79639
% 33.72/34.11  Inuse:        747
% 33.72/34.11  Deleted:      2134
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying clauses:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  
% 33.72/34.11  Intermediate Status:
% 33.72/34.11  Generated:    378678
% 33.72/34.11  Kept:         81942
% 33.72/34.11  Inuse:        757
% 33.72/34.11  Deleted:      2340
% 33.72/34.11  Deletedinuse: 2
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 33.72/34.11  Done
% 33.72/34.11  
% 33.72/34.11  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    390766
% 126.96/127.36  Kept:         84183
% 126.96/127.36  Inuse:        777
% 126.96/127.36  Deleted:      2341
% 126.96/127.36  Deletedinuse: 3
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    404600
% 126.96/127.36  Kept:         86485
% 126.96/127.36  Inuse:        792
% 126.96/127.36  Deleted:      2341
% 126.96/127.36  Deletedinuse: 3
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    421006
% 126.96/127.36  Kept:         88780
% 126.96/127.36  Inuse:        807
% 126.96/127.36  Deleted:      2343
% 126.96/127.36  Deletedinuse: 5
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    429294
% 126.96/127.36  Kept:         91235
% 126.96/127.36  Inuse:        822
% 126.96/127.36  Deleted:      2343
% 126.96/127.36  Deletedinuse: 5
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    442685
% 126.96/127.36  Kept:         94248
% 126.96/127.36  Inuse:        837
% 126.96/127.36  Deleted:      2343
% 126.96/127.36  Deletedinuse: 5
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    450863
% 126.96/127.36  Kept:         96351
% 126.96/127.36  Inuse:        850
% 126.96/127.36  Deleted:      2344
% 126.96/127.36  Deletedinuse: 6
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    461236
% 126.96/127.36  Kept:         99007
% 126.96/127.36  Inuse:        867
% 126.96/127.36  Deleted:      2346
% 126.96/127.36  Deletedinuse: 8
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    559077
% 126.96/127.36  Kept:         101020
% 126.96/127.36  Inuse:        926
% 126.96/127.36  Deleted:      2348
% 126.96/127.36  Deletedinuse: 10
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying clauses:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    646049
% 126.96/127.36  Kept:         103063
% 126.96/127.36  Inuse:        980
% 126.96/127.36  Deleted:      3066
% 126.96/127.36  Deletedinuse: 11
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    717976
% 126.96/127.36  Kept:         106700
% 126.96/127.36  Inuse:        1024
% 126.96/127.36  Deleted:      3066
% 126.96/127.36  Deletedinuse: 11
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    768847
% 126.96/127.36  Kept:         108721
% 126.96/127.36  Inuse:        1070
% 126.96/127.36  Deleted:      3066
% 126.96/127.36  Deletedinuse: 11
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    879538
% 126.96/127.36  Kept:         110729
% 126.96/127.36  Inuse:        1208
% 126.96/127.36  Deleted:      3072
% 126.96/127.36  Deletedinuse: 17
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    963530
% 126.96/127.36  Kept:         112750
% 126.96/127.36  Inuse:        1319
% 126.96/127.36  Deleted:      3073
% 126.96/127.36  Deletedinuse: 17
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    995283
% 126.96/127.36  Kept:         114778
% 126.96/127.36  Inuse:        1354
% 126.96/127.36  Deleted:      3073
% 126.96/127.36  Deletedinuse: 17
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1037952
% 126.96/127.36  Kept:         116826
% 126.96/127.36  Inuse:        1412
% 126.96/127.36  Deleted:      3075
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1074695
% 126.96/127.36  Kept:         120164
% 126.96/127.36  Inuse:        1447
% 126.96/127.36  Deleted:      3075
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying clauses:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1127721
% 126.96/127.36  Kept:         122166
% 126.96/127.36  Inuse:        1532
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1469164
% 126.96/127.36  Kept:         124176
% 126.96/127.36  Inuse:        1647
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1511045
% 126.96/127.36  Kept:         127195
% 126.96/127.36  Inuse:        1667
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1580923
% 126.96/127.36  Kept:         131302
% 126.96/127.36  Inuse:        1711
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1643428
% 126.96/127.36  Kept:         133349
% 126.96/127.36  Inuse:        1763
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1731920
% 126.96/127.36  Kept:         135356
% 126.96/127.36  Inuse:        1842
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1832484
% 126.96/127.36  Kept:         137371
% 126.96/127.36  Inuse:        1902
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  Resimplifying inuse:
% 126.96/127.36  Done
% 126.96/127.36  
% 126.96/127.36  
% 126.96/127.36  Intermediate Status:
% 126.96/127.36  Generated:    1930095
% 126.96/127.36  Kept:         139418
% 126.96/127.36  Inuse:        2003
% 126.96/127.36  Deleted:      3993
% 126.96/127.36  Deletedinuse: 19
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying clauses:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2053535
% 294.86/295.31  Kept:         141425
% 294.86/295.31  Inuse:        2106
% 294.86/295.31  Deleted:      4675
% 294.86/295.31  Deletedinuse: 19
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2247087
% 294.86/295.31  Kept:         143513
% 294.86/295.31  Inuse:        2216
% 294.86/295.31  Deleted:      4675
% 294.86/295.31  Deletedinuse: 19
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2312236
% 294.86/295.31  Kept:         145520
% 294.86/295.31  Inuse:        2267
% 294.86/295.31  Deleted:      4679
% 294.86/295.31  Deletedinuse: 21
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2374067
% 294.86/295.31  Kept:         147537
% 294.86/295.31  Inuse:        2301
% 294.86/295.31  Deleted:      4684
% 294.86/295.31  Deletedinuse: 22
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2454088
% 294.86/295.31  Kept:         149579
% 294.86/295.31  Inuse:        2346
% 294.86/295.31  Deleted:      4684
% 294.86/295.31  Deletedinuse: 22
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2584271
% 294.86/295.31  Kept:         151582
% 294.86/295.31  Inuse:        2424
% 294.86/295.31  Deleted:      4686
% 294.86/295.31  Deletedinuse: 22
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2710934
% 294.86/295.31  Kept:         155451
% 294.86/295.31  Inuse:        2452
% 294.86/295.31  Deleted:      4709
% 294.86/295.31  Deletedinuse: 44
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    2940411
% 294.86/295.31  Kept:         157469
% 294.86/295.31  Inuse:        2498
% 294.86/295.31  Deleted:      4709
% 294.86/295.31  Deletedinuse: 44
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    3067672
% 294.86/295.31  Kept:         159492
% 294.86/295.31  Inuse:        2524
% 294.86/295.31  Deleted:      4709
% 294.86/295.31  Deletedinuse: 44
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying clauses:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    3151956
% 294.86/295.31  Kept:         161542
% 294.86/295.31  Inuse:        2578
% 294.86/295.31  Deleted:      6645
% 294.86/295.31  Deletedinuse: 46
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    3192163
% 294.86/295.31  Kept:         163547
% 294.86/295.31  Inuse:        2611
% 294.86/295.31  Deleted:      6645
% 294.86/295.31  Deletedinuse: 46
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  Resimplifying inuse:
% 294.86/295.31  Done
% 294.86/295.31  
% 294.86/295.31  
% 294.86/295.31  Intermediate Status:
% 294.86/295.31  Generated:    3345890
% 294.86/295.32  Kept:         165604
% 294.86/295.32  Inuse:        2651
% 294.86/295.32  Deleted:      6645
% 294.86/295.32  Deletedinuse: 46
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    3529572
% 294.86/295.32  Kept:         167672
% 294.86/295.32  Inuse:        2729
% 294.86/295.32  Deleted:      6664
% 294.86/295.32  Deletedinuse: 64
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    3814048
% 294.86/295.32  Kept:         169678
% 294.86/295.32  Inuse:        2822
% 294.86/295.32  Deleted:      6668
% 294.86/295.32  Deletedinuse: 68
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    4556197
% 294.86/295.32  Kept:         171686
% 294.86/295.32  Inuse:        2917
% 294.86/295.32  Deleted:      6692
% 294.86/295.32  Deletedinuse: 76
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    4676190
% 294.86/295.32  Kept:         173693
% 294.86/295.32  Inuse:        2932
% 294.86/295.32  Deleted:      6692
% 294.86/295.32  Deletedinuse: 76
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    4719306
% 294.86/295.32  Kept:         176375
% 294.86/295.32  Inuse:        2936
% 294.86/295.32  Deleted:      6692
% 294.86/295.32  Deletedinuse: 76
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    4811685
% 294.86/295.32  Kept:         178397
% 294.86/295.32  Inuse:        3008
% 294.86/295.32  Deleted:      6693
% 294.86/295.32  Deletedinuse: 77
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    4946352
% 294.86/295.32  Kept:         180407
% 294.86/295.32  Inuse:        3098
% 294.86/295.32  Deleted:      6693
% 294.86/295.32  Deletedinuse: 77
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying clauses:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    5060723
% 294.86/295.32  Kept:         182953
% 294.86/295.32  Inuse:        3149
% 294.86/295.32  Deleted:      8386
% 294.86/295.32  Deletedinuse: 77
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    5137791
% 294.86/295.32  Kept:         185917
% 294.86/295.32  Inuse:        3152
% 294.86/295.32  Deleted:      8386
% 294.86/295.32  Deletedinuse: 77
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    5207548
% 294.86/295.32  Kept:         187972
% 294.86/295.32  Inuse:        3169
% 294.86/295.32  Deleted:      8386
% 294.86/295.32  Deletedinuse: 77
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  
% 294.86/295.32  Intermediate Status:
% 294.86/295.32  Generated:    5351460
% 294.86/295.32  Kept:         189988
% 294.86/295.32  Inuse:        3228
% 294.86/295.32  Deleted:      8386
% 294.86/295.32  Deletedinuse: 77
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  Done
% 294.86/295.32  
% 294.86/295.32  Resimplifying inuse:
% 294.86/295.32  DoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------