TSTP Solution File: LCL836-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL836-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 07:58:38 EDT 2022

% Result   : Timeout 300.04s 300.50s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL836-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % DateTime : Mon Jul  4 11:39:37 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.85/1.28  *** allocated 10000 integers for termspace/termends
% 0.85/1.28  *** allocated 10000 integers for clauses
% 0.85/1.28  *** allocated 10000 integers for justifications
% 0.85/1.28  *** allocated 15000 integers for termspace/termends
% 0.85/1.28  Bliksem 1.12
% 0.85/1.28  
% 0.85/1.28  
% 0.85/1.28  Automatic Strategy Selection
% 0.85/1.28  
% 0.85/1.28  Clauses:
% 0.85/1.28  [
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y, 
% 0.85/1.28    X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z, 
% 0.85/1.28    X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 0.85/1.28    =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.85/1.28     ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 
% 0.85/1.28    'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, 
% 0.85/1.28    Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X, 
% 0.85/1.28    'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.85/1.28     [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'( 
% 0.85/1.28    Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ), 
% 0.85/1.28    hBOOL( hAPP( X, Z ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ), 
% 0.85/1.28    hBOOL( hAPP( X, Z ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.85/1.28     ), Z ), Y ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.85/1.28     ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 
% 0.85/1.28    'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.85/1.28     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    Z, X, 'tc_nat' ) ],
% 0.85/1.28     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.85/1.28    Y, T, Z ), Z ) ) ],
% 0.85/1.28     [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'( 
% 0.85/1.28    T, Y, Z ), Z ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ), 
% 0.85/1.28    hAPP( Z, T ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y, 
% 0.85/1.28    Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.85/1.28    Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 0.85/1.28    Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.85/1.28     [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'( 
% 0.85/1.28    Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X, 
% 0.85/1.28    'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 
% 0.85/1.28    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.85/1.28    , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.85/1.28     ), =( X, T ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ), 
% 0.85/1.28    =( X, T ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ), 
% 0.85/1.28    =( Y, T ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    T, X ) ) ],
% 0.85/1.28     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y, 
% 0.85/1.28    'tc_nat' ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.85/1.28     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.85/1.28     ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.85/1.28     ) ],
% 0.85/1.28     [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~( 
% 0.85/1.28    'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.85/1.28     [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.85/1.28     ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.85/1.28    , T ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.85/1.28     ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.85/1.28    , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.85/1.28     ), Z ), U ) ) ) ],
% 0.85/1.28     [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 
% 0.85/1.28    'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'( 
% 0.85/1.28    'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, 
% 0.85/1.28    'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ) ), 
% 0.85/1.28    ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.85/1.28     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.85/1.28     ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 
% 0.85/1.28    'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z, 
% 0.85/1.28    T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z, 
% 0.85/1.28    T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z, 
% 0.85/1.28    T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.85/1.28     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.85/1.28     [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.85/1.28     [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.85/1.28     [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ), 
% 0.85/1.28    'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    X, T, 'tc_nat' ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 0.85/1.28    ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ), 
% 0.85/1.28    'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'( 
% 0.85/1.28    X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.85/1.28    , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z, 
% 0.85/1.28    'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.85/1.28     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.28     [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.85/1.28    , Z ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.85/1.28    'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.85/1.28    , 'c_List_Olist_ONil'( T ) ) ],
% 0.85/1.28     [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ), 
% 0.85/1.28    'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.85/1.28    , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.85/1.28    'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.85/1.28    'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.85/1.28     ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.85/1.28     [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.85/1.28     [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), T ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), T ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.85/1.28    'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ), 
% 0.85/1.28    ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ), 
% 0.85/1.28    ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.85/1.28     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ), 
% 0.85/1.28    hAPP( X, T ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 
% 0.85/1.28    T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.85/1.28    T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.85/1.28     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.85/1.28    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.28    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.28    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.28    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.28    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, Y ) ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ), 
% 0.85/1.28    ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.85/1.28     [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ), 
% 0.85/1.28    'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.85/1.28    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.28    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.28    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.28    'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.85/1.28    , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.85/1.28    T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.85/1.28     ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.28    , T, X ) ) ), =( Y, Z ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.85/1.28    , T, X ) ) ), =( Z, T ) ],
% 0.85/1.28     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.85/1.28    , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.85/1.28     ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 
% 0.85/1.28    'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 
% 0.85/1.28    'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ), 
% 0.85/1.28    ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.85/1.28    , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U, 
% 0.85/1.28    'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.85/1.28    , X ), Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.85/1.28    , X ), Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.85/1.28    'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X, 
% 0.85/1.28    'tc_nat' ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.85/1.28    'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 0.85/1.28    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.28     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.85/1.28    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ), 
% 0.85/1.28    'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.85/1.28     ), Z ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.85/1.28     ), Z ) ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.85/1.28    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.85/1.28    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.85/1.28     ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.85/1.28     [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ), 
% 0.85/1.28    'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.85/1.28    ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.85/1.28    , 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.28    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.85/1.28     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.85/1.28    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.85/1.28     [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.85/1.28    'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), Z, 'tc_nat' ), 'tc_nat'
% 0.85/1.28     ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 0.85/1.28    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP( 
% 0.85/1.28    hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 0.85/1.28    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.85/1.28    , V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    T, X, U, W, Y, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    T, X, U, Y, W, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 0.85/1.28    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.85/1.28    , V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    X, T, U, Y, W, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 0.85/1.28    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.85/1.28    , V0, V1, V2 ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 0.85/1.28    Z, T, X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, 
% 0.85/1.28    X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, 
% 0.85/1.28    X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, 
% 0.85/1.28    X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, 
% 0.85/1.28    X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 
% 0.85/1.28    X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 
% 0.85/1.28    'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.85/1.28    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.85/1.28     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.85/1.28     [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ), 
% 0.85/1.28    'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X, 
% 0.85/1.28    'tc_nat' ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.85/1.28    , 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.85/1.28    , 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.85/1.28    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.85/1.28    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.28     [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 0.85/1.28    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ), 
% 0.85/1.28    hAPP( X, T ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( 'c_lessequals'( Z
% 0.85/1.28    , Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~( 
% 0.85/1.28    'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.85/1.28    , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.85/1.28     ) ],
% 0.85/1.28     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.28    , X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.28    , Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.28    , Y, X ) ) ],
% 0.85/1.28     [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.85/1.28     ), Y ), X ), 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ), 
% 0.85/1.28    'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.85/1.28     ), Z ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , X ), Y ), 'tc_nat' ) ],
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Y ), X ), 'tc_nat' ) ],
% 0.85/1.28     [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , X ), Y ), 'tc_nat' ) ],
% 0.85/1.28     [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'( 
% 0.85/1.28    X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.85/1.28     ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.85/1.28    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.85/1.28    'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ), 
% 0.85/1.28    'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.85/1.28     ), U ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.28     ), =( Z, Y ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ) ],
% 0.85/1.28     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.85/1.28    , Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 0.85/1.28    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.28    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.28    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.85/1.28    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.85/1.28    'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'( 
% 0.85/1.28    'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28    , X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 0.85/1.28    T, X ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.85/1.28    , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.85/1.28     ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28    , X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.28     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.85/1.28     ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 
% 0.85/1.28    'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.85/1.28     ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 
% 0.85/1.28    'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.85/1.28    X, 'tc_nat' ) ), X ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( 'c_lessequals'( 
% 0.85/1.28    X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y, 
% 0.85/1.28    X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.85/1.28    , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.85/1.28    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28    , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.85/1.28     [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.85/1.28    , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), 
% 0.85/1.28    'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.85/1.28     ), W ), W ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.28    , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ), 
% 0.85/1.28    'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.85/1.28    , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), 
% 0.85/1.28    =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~( 
% 0.85/1.28    'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 0.85/1.28    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.85/1.28    , V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.85/1.28    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 0.85/1.28    W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.85/1.28    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 0.85/1.28    W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.85/1.28    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 0.85/1.28    ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.85/1.28    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 0.85/1.28    W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 0.85/1.28    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.85/1.28    , V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.85/1.28    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 0.85/1.28    W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 0.85/1.28    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.85/1.28    , V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.85/1.28    , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ), 
% 0.85/1.28    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.85/1.28    , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ), 
% 0.85/1.28    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.85/1.28    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 0.85/1.28    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    T, X, U, W, Z, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    T, X, U, W, Y, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    T, X, U, Z, W, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    T, X, U, Y, W, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 0.85/1.28    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    X, T, U, Z, W, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 0.85/1.28    X, T, U, Y, W, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ), 
% 0.85/1.28    Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP( 
% 0.85/1.28    hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.85/1.28    , V0, U, V1 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP( 
% 0.85/1.28    hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.85/1.28    , V0, U, V1 ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.85/1.28    , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~( 
% 0.85/1.28    'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.85/1.28     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'( 
% 0.85/1.28    Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.85/1.28    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.85/1.28     ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 
% 0.85/1.28    'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'( 
% 0.85/1.28    Z, Y, X ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 0.85/1.28    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 0.85/1.28    T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 0.85/1.28    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ), 
% 0.85/1.28    'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ), 
% 0.85/1.28    'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~( 
% 0.85/1.28    hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.85/1.28    'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.85/1.28     [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.85/1.28    , 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.85/1.28    , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ), 
% 0.85/1.28    'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.85/1.28    , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.85/1.28     [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'( 
% 0.85/1.28    'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.85/1.28     [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( 
% 0.85/1.28    'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ), 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.85/1.28     ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 
% 0.85/1.28    X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.85/1.28     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.28     ), Z, X ) ) ],
% 0.85/1.28     [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'( 
% 0.85/1.28    Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.85/1.28    , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W, 
% 0.85/1.28    'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.85/1.28    , T, X ), 'c_Orderings_Oord__class_Omax'( Y, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, 
% 0.85/1.28    X ), X ), 'c_Orderings_Oord__class_Omax'( Z, 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.85/1.28     [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.85/1.28     ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.85/1.28    , X ), X ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.85/1.28    , X ), X ) ],
% 0.85/1.28     [ =( 'c_Transitive__Closure_Ortranclp'( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( X, Y ), Y ), 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ), 
% 0.85/1.28    'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.85/1.28    , Y ) ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.85/1.28    'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z, 
% 0.85/1.28    X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.85/1.28    'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), 
% 0.85/1.28    'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.85/1.28    , Y ), Z ), Z, X ), Y ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z, 
% 0.85/1.28    X, T ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y, 
% 0.85/1.28    X, T ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 0.85/1.28    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.85/1.28    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.85/1.28    , 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.85/1.28    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.85/1.28    , 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.85/1.28    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.85/1.28    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.85/1.28     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 0.85/1.28    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.28    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.28    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.85/1.28    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.85/1.28    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.28    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.28    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28     ) ), =( Y, Z ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28     ) ), =( Y, Z ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 0.85/1.28    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 0.85/1.28    Y ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), 
% 0.85/1.28    X ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 0.85/1.28    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.85/1.28     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.28     ), Z ), X ) ],
% 0.85/1.28     [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.28     ), Z ), X ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ), 'tc_nat' ), X ) ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.85/1.28     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.85/1.28     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ), 
% 0.85/1.28    hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 
% 0.85/1.28    'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ), 
% 0.85/1.28    =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.85/1.28    , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.85/1.28     ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 0.85/1.28    ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.85/1.28    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.85/1.28    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.85/1.28     ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ), 
% 0.85/1.28    hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.85/1.28    'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.85/1.28    'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.85/1.28     ), X ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 0.85/1.28    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.85/1.28    , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.85/1.28    , Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.85/1.28    , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.85/1.28    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.85/1.28    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 0.85/1.28    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.85/1.28    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 0.85/1.28    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.28    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.85/1.28     ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , Z ), Y ), 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.85/1.28    , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.85/1.28     ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.85/1.28    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.85/1.28     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.85/1.28    , X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.85/1.28    , X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.85/1.28    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.85/1.28    , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.85/1.28     ) ), =( X, T ) ],
% 0.85/1.28     [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.85/1.28     ) ), =( Y, U ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.85/1.28     ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.85/1.28     [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ), 
% 0.85/1.28    ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ), 
% 0.85/1.28    'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.85/1.28     [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ), 
% 0.85/1.28    'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.85/1.28    'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, 
% 0.85/1.28    'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), 
% 0.85/1.28    'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y, 
% 0.85/1.28    'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'( 
% 0.85/1.28    Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.85/1.28    , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.85/1.28    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.28    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.28    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.28    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.28    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.85/1.28    , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( 
% 0.85/1.28    'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.85/1.28    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.85/1.28    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.85/1.28    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 
% 0.85/1.28    'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T, 
% 0.85/1.28    'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.85/1.28     ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.85/1.28    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 0.85/1.28    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 0.85/1.28    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.28     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.85/1.28    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.85/1.28    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.85/1.28     ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.28     [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'( 
% 0.85/1.28    'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.85/1.28    , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 
% 0.85/1.28    'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X, 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.85/1.28    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.85/1.28    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 
% 0.85/1.28    'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.28     [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ), 
% 0.85/1.28    'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.28    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.85/1.28     ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.85/1.28    , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.85/1.28     ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 0.85/1.28    'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.28    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.28     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.85/1.28     ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.85/1.28    'c_lessequals'( Z, Y, X ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.28    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.28     [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.85/1.28     ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.85/1.28     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.28    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 't_a' ) ) ) ), hBOOL( hAPP( X, Y
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinducts__1'( 
% 0.85/1.28    X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_Nitpick_Onat__gcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.85/1.28    , X ) ],
% 0.85/1.28     [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'( 
% 0.85/1.28    X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.28     ), 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.28     ), 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'( 
% 0.85/1.28    X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.28     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 0.85/1.28    'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL( 
% 0.85/1.28    hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.85/1.28     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.85/1.28    , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ), 'tc_nat' ), X ) ],
% 0.85/1.28     [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.85/1.28     [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.85/1.28     ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 
% 0.85/1.28    ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.85/1.28     ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y, 
% 0.85/1.28    X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.85/1.28     ) ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'( 
% 0.85/1.28    Z ) ) ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.85/1.28    Z ) ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( 
% 0.85/1.28    Z, U ), W ) ) ) ],
% 0.85/1.28     [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( 
% 0.85/1.28    Z, U ), W ) ) ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), 
% 0.85/1.28    Z ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.85/1.28    , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.85/1.28     ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.85/1.28    , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ), 
% 0.85/1.28    'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.85/1.28    , Z, U, W ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.85/1.28     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ), 
% 0.85/1.28    'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.85/1.28     ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ), 
% 0.85/1.28    'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'( 
% 0.85/1.28    Z ) ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.28    , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.85/1.28     ), Z ) ) ],
% 0.85/1.28     [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( 'c_Wellfounded_Oaccp'( 
% 0.85/1.28    'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ), 'c_Wellfounded_Oaccp'( 
% 0.85/1.28    'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.85/1.28    , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.85/1.28    , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( 
% 0.85/1.28    hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 
% 0.85/1.28    'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.85/1.28     [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), X ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 
% 0.85/1.28    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z, 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.85/1.28    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, 
% 0.85/1.28    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 
% 0.85/1.28    'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.85/1.28    , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T, 
% 0.85/1.28    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ), 
% 0.85/1.28    'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ), 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y, 
% 0.85/1.28    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.85/1.28    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.85/1.28     ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'( 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.85/1.28    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP( 
% 0.85/1.28    X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~( 
% 0.85/1.28    'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 0.85/1.28    X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.85/1.28     ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ), 
% 0.85/1.28    'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z, 
% 0.85/1.28    X, U ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ), 
% 0.85/1.28    'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.85/1.28     [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ), 
% 0.85/1.28    'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.85/1.28    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 
% 0.85/1.28    'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 
% 0.85/1.28    'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat', 
% 0.85/1.28    'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.85/1.28    , 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.85/1.28     ), X ), Y ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 
% 0.85/1.28    T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift', 
% 0.85/1.28    X ), Y ) ), Z ), Y ), X ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.85/1.28     ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~( 
% 0.85/1.28    hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.28    , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), 
% 0.85/1.28    ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 
% 0.85/1.28    'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.85/1.28     ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.28    , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), 
% 0.85/1.28    ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____', 
% 0.85/1.28    'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ), 
% 0.85/1.28    'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.85/1.28    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.85/1.28    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.85/1.28     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.85/1.28    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 0.85/1.28    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.28     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 0.85/1.28    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 0.85/1.28    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.85/1.28     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.85/1.28     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 0.85/1.28    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.28     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.85/1.28     ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.85/1.28    ,
% 0.85/1.28     [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 
% 0.85/1.28    'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.85/1.28     ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.85/1.28    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 
% 0.85/1.28    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X, 
% 0.85/1.28    'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.85/1.28    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 
% 0.85/1.28    Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.85/1.28     [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 
% 0.85/1.28    'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 
% 0.85/1.28    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.85/1.28     ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.85/1.28    , Y ) ],
% 0.85/1.28     [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.85/1.28    , Y ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.85/1.28    , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.85/1.28     ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.28    , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.28    , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.28    'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ), Y )
% 0.85/1.28     ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y
% 0.85/1.28    , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 
% 0.85/1.28    hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), T ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.28    , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( 
% 0.85/1.28    'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', 
% 0.85/1.28    'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.28    , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.85/1.28    , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_a____' ) ) ],
% 0.85/1.28     [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.28    , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 
% 0.85/1.28    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ) ) ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.85/1.28     [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.85/1.28     [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 
% 0.85/1.28    'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 
% 0.85/1.28    'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.85/1.28     [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.85/1.28     [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____', 
% 0.85/1.28    'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.85/1.28    'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.29    'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____'
% 0.85/1.29     ) ],
% 0.85/1.29     [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 
% 0.85/1.29    'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 
% 0.85/1.29    'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'( 
% 0.85/1.29    'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_u____'
% 0.85/1.29     ), 'v_i____' ) ) ) ) ],
% 0.85/1.29     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.85/1.29    'class_Orderings_Opreorder'( Y ) ) ],
% 0.85/1.29     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.85/1.29    'class_Orderings_Oorder'( Y ) ) ],
% 0.85/1.29     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.85/1.29    Y ) ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.85/1.29     ],
% 0.85/1.29     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.85/1.29     ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.85/1.29     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.85/1.29     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.85/1.29     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.85/1.29     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.85/1.29     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.85/1.29  ] .
% 0.85/1.29  
% 0.85/1.29  
% 0.85/1.29  percentage equality = 0.305951, percentage horn = 0.930403
% 0.85/1.29  This is a problem with some equality
% 0.85/1.29  
% 0.85/1.29  
% 0.85/1.29  
% 0.85/1.29  Options Used:
% 0.85/1.29  
% 0.85/1.29  useres =            1
% 0.85/1.29  useparamod =        1
% 0.85/1.29  useeqrefl =         1
% 0.85/1.29  useeqfact =         1
% 0.85/1.29  usefactor =         1
% 0.85/1.29  usesimpsplitting =  0
% 0.85/1.29  usesimpdemod =      5
% 0.85/1.29  usesimpres =        3
% 0.85/1.29  
% 0.85/1.29  resimpinuse      =  1000
% 0.85/1.29  resimpclauses =     20000
% 0.85/1.29  substype =          eqrewr
% 0.85/1.29  backwardsubs =      1
% 0.85/1.29  selectoldest =      5
% 0.85/1.29  
% 0.85/1.29  litorderings [0] =  split
% 0.85/1.29  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.85/1.29  
% 0.85/1.29  termordering =      kbo
% 0.85/1.29  
% 0.85/1.29  litapriori =        0
% 0.85/1.29  termapriori =       1
% 0.85/1.29  litaposteriori =    0
% 0.85/1.29  termaposteriori =   0
% 0.85/1.29  demodaposteriori =  0
% 0.85/1.29  ordereqreflfact =   0
% 0.85/1.29  
% 0.85/1.29  litselect =         negord
% 0.85/1.29  
% 0.85/1.29  maxweight =         15
% 0.85/1.29  maxdepth =          30000
% 0.85/1.29  maxlength =         115
% 0.85/1.29  maxnrvars =         195
% 0.85/1.29  excuselevel =       1
% 0.85/1.29  increasemaxweight = 1
% 0.85/1.29  
% 0.85/1.29  maxselected =       10000000
% 0.85/1.29  maxnrclauses =      10000000
% 0.85/1.29  
% 0.85/1.29  showgenerated =    0
% 0.85/1.29  showkept =         0
% 0.85/1.29  showselected =     0
% 0.85/1.29  showdeleted =      0
% 0.85/1.29  showresimp =       1
% 0.85/1.29  showstatus =       2000
% 0.85/1.29  
% 0.85/1.29  prologoutput =     1
% 0.85/1.29  nrgoals =          5000000
% 0.85/1.29  totalproof =       1
% 0.85/1.29  
% 0.85/1.29  Symbols occurring in the translation:
% 0.85/1.29  
% 0.85/1.29  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.85/1.29  .  [1, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.85/1.29  !  [4, 1]      (w:0, o:110, a:1, s:1, b:0), 
% 0.85/1.29  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.85/1.29  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.85/1.29  'class_Orderings_Olinorder'  [40, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.85/1.29  'c_Orderings_Oord__class_Omax'  [43, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 0.85/1.29  'c_lessequals'  [44, 3]      (w:1, o:197, a:1, s:1, b:0), 
% 0.85/1.29  'class_Orderings_Oorder'  [45, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 0.85/1.29  'c_HOL_Oord__class_Oless'  [47, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 0.85/1.29  'class_Orderings_Opreorder'  [48, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Opordered__comm__monoid__add'  [49, 1]      (w:1, o:119
% 1.67/2.08    , a:1, s:1, b:0), 
% 1.67/2.08  'c_HOL_Ozero__class_Ozero'  [50, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 1.67/2.08  'c_HOL_Oplus__class_Oplus'  [51, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.67/2.08  hAPP  [53, 2]      (w:1, o:188, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Opordered__ab__semigroup__add'  [55, 1]      (w:1, o:
% 1.67/2.08    122, a:1, s:1, b:0), 
% 1.67/2.08  'tc_nat'  [58, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 1.67/2.08  'c_ListOrder_Ostep1'  [66, 4]      (w:1, o:212, a:1, s:1, b:0), 
% 1.67/2.08  'c_List_Oappend'  [67, 3]      (w:1, o:199, a:1, s:1, b:0), 
% 1.67/2.08  'c_HOL_Ominus__class_Ominus'  [71, 3]      (w:1, o:200, a:1, s:1, b:0), 
% 1.67/2.08  hBOOL  [72, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Ogroup__add'  [73, 1]      (w:1, o:124, a:1, s:1, b:0)
% 1.67/2.08    , 
% 1.67/2.08  'c_Lambda_Obeta'  [74, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 1.67/2.08  'tc_Lambda_OdB'  [75, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 1.67/2.08  'c_Transitive__Closure_Ortranclp'  [76, 2]      (w:1, o:189, a:1, s:1, b:0)
% 1.67/2.08    , 
% 1.67/2.08  'c_Lambda_OdB_OAbs'  [78, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 1.67/2.08  'c_Lambda_Osubst'  [80, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 1.67/2.08  'c_Lambda_OdB_OVar'  [81, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 1.67/2.08  'c_List_Olistsp'  [83, 3]      (w:1, o:201, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Olordered__ab__group__add'  [84, 1]      (w:1, o:127
% 1.67/2.08    , a:1, s:1, b:0), 
% 1.67/2.08  'c_Lambda_OdB_OdB__case'  [89, 5]      (w:1, o:217, a:1, s:1, b:0), 
% 1.67/2.08  'class_Ring__and__Field_Oordered__semidom'  [90, 1]      (w:1, o:130, a:1
% 1.67/2.08    , s:1, b:0), 
% 1.67/2.08  'c_Nat_Osemiring__1__class_Oof__nat'  [92, 2]      (w:1, o:190, a:1, s:1
% 1.67/2.08    , b:0), 
% 1.67/2.08  'c_List_Olist_OCons'  [94, 3]      (w:1, o:202, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [96, 1]      
% 1.67/2.08    (w:1, o:131, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Ocomm__monoid__add'  [97, 1]      (w:1, o:132, a:1, s:1
% 1.67/2.08    , b:0), 
% 1.67/2.08  'c_List_Olist_ONil'  [98, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 1.67/2.08  'c_List_Oreplicate'  [99, 3]      (w:1, o:203, a:1, s:1, b:0), 
% 1.67/2.08  'c_Power_Opower__class_Opower'  [101, 3]      (w:1, o:205, a:1, s:1, b:0), 
% 1.67/2.08    
% 1.67/2.08  'c_Wellfounded_Oaccp'  [102, 3]      (w:1, o:206, a:1, s:1, b:0), 
% 1.67/2.08  'c_Predicate_Oconversep'  [103, 3]      (w:1, o:207, a:1, s:1, b:0), 
% 1.67/2.08  'c_InductTermi_OIT'  [105, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 1.67/2.08  'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'  [106, 1]      (w:1
% 1.67/2.08    , o:134, a:1, s:1, b:0), 
% 1.67/2.08  'class_Orderings_Obot'  [107, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 1.67/2.08  'c_Orderings_Obot__class_Obot'  [108, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 1.67/2.08    
% 1.67/2.08  'c_List_Omap'  [111, 4]      (w:1, o:213, a:1, s:1, b:0), 
% 1.67/2.08  'class_Ring__and__Field_Ocomm__semiring__1'  [112, 1]      (w:1, o:137, a:1
% 1.67/2.08    , s:1, b:0), 
% 1.67/2.08  'c_List_Ofoldr'  [113, 5]      (w:1, o:218, a:1, s:1, b:0), 
% 1.67/2.08  'class_Nat_Osemiring__char__0'  [114, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 1.67/2.08    
% 1.67/2.08  'c_Type_Otyping'  [117, 3]      (w:1, o:208, a:1, s:1, b:0), 
% 1.67/2.08  'c_List_Odrop'  [118, 3]      (w:1, o:209, a:1, s:1, b:0), 
% 1.67/2.08  'c_Groebner__Basis_Ogb__semiring'  [126, 6]      (w:1, o:222, a:1, s:1, b:0
% 1.67/2.08    ), 
% 1.67/2.08  'class_OrderedGroup_Oab__semigroup__add'  [127, 1]      (w:1, o:138, a:1
% 1.67/2.08    , s:1, b:0), 
% 1.67/2.08  'c_List_Ofoldl'  [128, 5]      (w:1, o:219, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Oab__group__add'  [131, 1]      (w:1, o:139, a:1, s:1
% 1.67/2.08    , b:0), 
% 1.67/2.08  'class_OrderedGroup_Opordered__ab__group__add'  [135, 1]      (w:1, o:140
% 1.67/2.08    , a:1, s:1, b:0), 
% 1.67/2.08  'c_COMBC'  [138, 5]      (w:1, o:220, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Omonoid__add'  [142, 1]      (w:1, o:141, a:1, s:1, b:0
% 1.67/2.08    ), 
% 1.67/2.08  'c_List_Olistsum'  [143, 2]      (w:1, o:191, a:1, s:1, b:0), 
% 1.67/2.08  'c_Lambda_OdB_OApp'  [145, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 1.67/2.08  'class_Ring__and__Field_Oidom'  [148, 1]      (w:1, o:142, a:1, s:1, b:0), 
% 1.67/2.08    
% 1.67/2.08  'class_Int_Onumber__ring'  [149, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [150, 1]      (w:1, o:144
% 1.67/2.08    , a:1, s:1, b:0), 
% 1.67/2.08  'class_OrderedGroup_Ocancel__semigroup__add'  [151, 1]      (w:1, o:145, a:
% 1.67/2.08    1, s:1, b:0), 
% 1.67/2.08  'class_Ring__and__Field_Oordered__idom'  [155, 1]      (w:1, o:146, a:1, s:
% 1.67/2.08    1, b:0), 
% 1.67/2.08  'c_Type_Oshift'  [156, 4]      (w:1, o:214, a:1, s:1, b:0), 
% 1.67/2.08  'c_Lambda_Osubstn'  [157, 3]      (w:1, o:210, a:1, s:1, b:0), 
% 9.16/9.56  'c_fequal'  [158, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 9.16/9.56  'c_Lambda_OdB_OdB__rec'  [159, 5]      (w:1, o:221, a:1, s:1, b:0), 
% 9.16/9.56  'c_Lambda_Oliftn'  [160, 3]      (w:1, o:211, a:1, s:1, b:0), 
% 9.16/9.56  'c_Lambda_Olift'  [161, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 9.16/9.56  'c_OrderedGroup_Osemigroup__add'  [163, 2]      (w:1, o:194, a:1, s:1, b:0)
% 9.16/9.56    , 
% 9.16/9.56  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [164, 1]      
% 9.16/9.56    (w:1, o:148, a:1, s:1, b:0), 
% 9.16/9.56  'tc_Type_Otype'  [172, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 9.16/9.56  'c_OrderedGroup_Omonoid__add'  [174, 3]      (w:1, o:204, a:1, s:1, b:0), 
% 9.16/9.56  'class_Ring__and__Field_Ozero__neq__one'  [175, 1]      (w:1, o:149, a:1
% 9.16/9.56    , s:1, b:0), 
% 9.16/9.56  'class_Ring__and__Field_Ono__zero__divisors'  [176, 1]      (w:1, o:129, a:
% 9.16/9.56    1, s:1, b:0), 
% 9.16/9.56  'class_Ring__and__Field_Omult__zero'  [177, 1]      (w:1, o:128, a:1, s:1
% 9.16/9.56    , b:0), 
% 9.16/9.56  'class_Power_Opower'  [178, 1]      (w:1, o:151, a:1, s:1, b:0), 
% 9.16/9.56  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [179, 1]      (w:1
% 9.16/9.56    , o:152, a:1, s:1, b:0), 
% 9.16/9.56  'c_Nat_Onat_Onat__case'  [180, 4]      (w:1, o:215, a:1, s:1, b:0), 
% 9.16/9.56  'class_OrderedGroup_Osemigroup__add'  [181, 1]      (w:1, o:150, a:1, s:1
% 9.16/9.56    , b:0), 
% 9.16/9.56  't_a'  [182, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 9.16/9.56  'class_Ring__and__Field_Oring__1'  [183, 1]      (w:1, o:153, a:1, s:1, b:0
% 9.16/9.56    ), 
% 9.16/9.56  'class_Ring__and__Field_Osemiring__1'  [187, 1]      (w:1, o:155, a:1, s:1
% 9.16/9.56    , b:0), 
% 9.16/9.56  'v_e____'  [188, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 9.16/9.56  'v_u____'  [189, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 9.16/9.56  'v_T____'  [190, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 9.16/9.56  'v_sko__Nat__Xnat__Xinducts__1'  [191, 1]      (w:1, o:156, a:1, s:1, b:0)
% 9.16/9.56    , 
% 9.16/9.56  'c_Nitpick_Onat__gcd'  [192, 2]      (w:1, o:192, a:1, s:1, b:0), 
% 9.16/9.56  'c_nat_Onat__size'  [193, 1]      (w:1, o:157, a:1, s:1, b:0), 
% 9.16/9.56  'c_String_Ochar_Ochar__size'  [194, 1]      (w:1, o:158, a:1, s:1, b:0), 
% 9.16/9.56  'v_sko__Nat__Xnat__Xinduct__1'  [195, 1]      (w:1, o:159, a:1, s:1, b:0), 
% 9.16/9.56    
% 9.16/9.56  'v_sko__List__Xupt__Xinduct__1'  [196, 1]      (w:1, o:160, a:1, s:1, b:0)
% 9.16/9.56    , 
% 9.16/9.56  'tc_String_Ochar'  [197, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 9.16/9.56  'c_Nat_Osize__class_Osize'  [198, 2]      (w:1, o:193, a:1, s:1, b:0), 
% 9.16/9.56  'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'  [
% 9.16/9.56    206, 4]      (w:1, o:216, a:1, s:1, b:0), 
% 9.16/9.56  'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'  [207, 1
% 9.16/9.56    ]      (w:1, o:162, a:1, s:1, b:0), 
% 9.16/9.56  'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'  [208, 1
% 9.16/9.56    ]      (w:1, o:161, a:1, s:1, b:0), 
% 9.16/9.56  'tc_fun'  [209, 2]      (w:1, o:195, a:1, s:1, b:0), 
% 9.16/9.56  'v_ua______'  [210, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 9.16/9.56  'v_a____'  [211, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 9.16/9.56  'v_i____'  [213, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 9.16/9.56  'v_r____'  [214, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 9.16/9.56  'v_as____'  [215, 0]      (w:1, o:103, a:1, s:1, b:0), 
% 9.16/9.56  'v_T_H____'  [216, 0]      (w:1, o:104, a:1, s:1, b:0), 
% 9.16/9.56  'class_Ring__and__Field_Osemiring__0'  [217, 1]      (w:1, o:154, a:1, s:1
% 9.16/9.56    , b:0), 
% 9.16/9.56  'tc_bool'  [220, 0]      (w:1, o:107, a:1, s:1, b:0).
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Starting Search:
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    5732
% 9.16/9.56  Kept:         2051
% 9.16/9.56  Inuse:        133
% 9.16/9.56  Deleted:      2
% 9.16/9.56  Deletedinuse: 0
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    15128
% 9.16/9.56  Kept:         4064
% 9.16/9.56  Inuse:        218
% 9.16/9.56  Deleted:      4
% 9.16/9.56  Deletedinuse: 1
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    26494
% 9.16/9.56  Kept:         6389
% 9.16/9.56  Inuse:        293
% 9.16/9.56  Deleted:      6
% 9.16/9.56  Deletedinuse: 3
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    32697
% 9.16/9.56  Kept:         8540
% 9.16/9.56  Inuse:        328
% 9.16/9.56  Deleted:      6
% 9.16/9.56  Deletedinuse: 3
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    43019
% 9.16/9.56  Kept:         10624
% 9.16/9.56  Inuse:        382
% 9.16/9.56  Deleted:      7
% 9.16/9.56  Deletedinuse: 3
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    54058
% 9.16/9.56  Kept:         12637
% 9.16/9.56  Inuse:        417
% 9.16/9.56  Deleted:      8
% 9.16/9.56  Deletedinuse: 4
% 9.16/9.56  
% 9.16/9.56  Resimplifying inuse:
% 9.16/9.56  Done
% 9.16/9.56  
% 9.16/9.56  
% 9.16/9.56  Intermediate Status:
% 9.16/9.56  Generated:    62043
% 27.26/27.67  Kept:         14649
% 27.26/27.67  Inuse:        429
% 27.26/27.67  Deleted:      9
% 27.26/27.67  Deletedinuse: 4
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    72674
% 27.26/27.67  Kept:         16665
% 27.26/27.67  Inuse:        492
% 27.26/27.67  Deleted:      13
% 27.26/27.67  Deletedinuse: 4
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    82494
% 27.26/27.67  Kept:         18676
% 27.26/27.67  Inuse:        513
% 27.26/27.67  Deleted:      84
% 27.26/27.67  Deletedinuse: 6
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying clauses:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    90539
% 27.26/27.67  Kept:         20737
% 27.26/27.67  Inuse:        542
% 27.26/27.67  Deleted:      638
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    106453
% 27.26/27.67  Kept:         23076
% 27.26/27.67  Inuse:        557
% 27.26/27.67  Deleted:      638
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    123281
% 27.26/27.67  Kept:         25328
% 27.26/27.67  Inuse:        572
% 27.26/27.67  Deleted:      638
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    132575
% 27.26/27.67  Kept:         27500
% 27.26/27.67  Inuse:        602
% 27.26/27.67  Deleted:      638
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    144397
% 27.26/27.67  Kept:         29501
% 27.26/27.67  Inuse:        646
% 27.26/27.67  Deleted:      638
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    157602
% 27.26/27.67  Kept:         32250
% 27.26/27.67  Inuse:        680
% 27.26/27.67  Deleted:      640
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    164548
% 27.26/27.67  Kept:         34893
% 27.26/27.67  Inuse:        690
% 27.26/27.67  Deleted:      640
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    178935
% 27.26/27.67  Kept:         37267
% 27.26/27.67  Inuse:        740
% 27.26/27.67  Deleted:      640
% 27.26/27.67  Deletedinuse: 7
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    189667
% 27.26/27.67  Kept:         39413
% 27.26/27.67  Inuse:        760
% 27.26/27.67  Deleted:      641
% 27.26/27.67  Deletedinuse: 8
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying clauses:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    203674
% 27.26/27.67  Kept:         41517
% 27.26/27.67  Inuse:        785
% 27.26/27.67  Deleted:      1161
% 27.26/27.67  Deletedinuse: 9
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    214580
% 27.26/27.67  Kept:         43768
% 27.26/27.67  Inuse:        791
% 27.26/27.67  Deleted:      1161
% 27.26/27.67  Deletedinuse: 9
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    231109
% 27.26/27.67  Kept:         47076
% 27.26/27.67  Inuse:        800
% 27.26/27.67  Deleted:      1162
% 27.26/27.67  Deletedinuse: 10
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    246780
% 27.26/27.67  Kept:         49337
% 27.26/27.67  Inuse:        825
% 27.26/27.67  Deleted:      1162
% 27.26/27.67  Deletedinuse: 10
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    256132
% 27.26/27.67  Kept:         51359
% 27.26/27.67  Inuse:        861
% 27.26/27.67  Deleted:      1162
% 27.26/27.67  Deletedinuse: 10
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    269565
% 27.26/27.67  Kept:         53378
% 27.26/27.67  Inuse:        887
% 27.26/27.67  Deleted:      1162
% 27.26/27.67  Deletedinuse: 10
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    280322
% 27.26/27.67  Kept:         55453
% 27.26/27.67  Inuse:        914
% 27.26/27.67  Deleted:      1210
% 27.26/27.67  Deletedinuse: 42
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    305442
% 27.26/27.67  Kept:         58797
% 27.26/27.67  Inuse:        919
% 27.26/27.67  Deleted:      1210
% 27.26/27.67  Deletedinuse: 42
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying clauses:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    316888
% 27.26/27.67  Kept:         60820
% 27.26/27.67  Inuse:        936
% 27.26/27.67  Deleted:      2874
% 27.26/27.67  Deletedinuse: 43
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    330315
% 27.26/27.67  Kept:         62833
% 27.26/27.67  Inuse:        954
% 27.26/27.67  Deleted:      2874
% 27.26/27.67  Deletedinuse: 43
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    345717
% 27.26/27.67  Kept:         65387
% 27.26/27.67  Inuse:        979
% 27.26/27.67  Deleted:      2874
% 27.26/27.67  Deletedinuse: 43
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    355888
% 27.26/27.67  Kept:         67706
% 27.26/27.67  Inuse:        994
% 27.26/27.67  Deleted:      2874
% 27.26/27.67  Deletedinuse: 43
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 27.26/27.67  Done
% 27.26/27.67  
% 27.26/27.67  
% 27.26/27.67  Intermediate Status:
% 27.26/27.67  Generated:    369938
% 27.26/27.67  Kept:         70819
% 27.26/27.67  Inuse:        1004
% 27.26/27.67  Deleted:      2874
% 27.26/27.67  Deletedinuse: 43
% 27.26/27.67  
% 27.26/27.67  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    394612
% 62.28/62.68  Kept:         73373
% 62.28/62.68  Inuse:        1029
% 62.28/62.68  Deleted:      2874
% 62.28/62.68  Deletedinuse: 43
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    409043
% 62.28/62.68  Kept:         75882
% 62.28/62.68  Inuse:        1059
% 62.28/62.68  Deleted:      2875
% 62.28/62.68  Deletedinuse: 44
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    428133
% 62.28/62.68  Kept:         79028
% 62.28/62.68  Inuse:        1079
% 62.28/62.68  Deleted:      2875
% 62.28/62.68  Deletedinuse: 44
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying clauses:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    448325
% 62.28/62.68  Kept:         81042
% 62.28/62.68  Inuse:        1120
% 62.28/62.68  Deleted:      3181
% 62.28/62.68  Deletedinuse: 44
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    456147
% 62.28/62.68  Kept:         83231
% 62.28/62.68  Inuse:        1138
% 62.28/62.68  Deleted:      3189
% 62.28/62.68  Deletedinuse: 46
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    471072
% 62.28/62.68  Kept:         86177
% 62.28/62.68  Inuse:        1152
% 62.28/62.68  Deleted:      3190
% 62.28/62.68  Deletedinuse: 46
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    491092
% 62.28/62.68  Kept:         89269
% 62.28/62.68  Inuse:        1182
% 62.28/62.68  Deleted:      3190
% 62.28/62.68  Deletedinuse: 46
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    503874
% 62.28/62.68  Kept:         91775
% 62.28/62.68  Inuse:        1192
% 62.28/62.68  Deleted:      3190
% 62.28/62.68  Deletedinuse: 46
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    515069
% 62.28/62.68  Kept:         94146
% 62.28/62.68  Inuse:        1197
% 62.28/62.68  Deleted:      3190
% 62.28/62.68  Deletedinuse: 46
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    526318
% 62.28/62.68  Kept:         96503
% 62.28/62.68  Inuse:        1202
% 62.28/62.68  Deleted:      3190
% 62.28/62.68  Deletedinuse: 46
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    548228
% 62.28/62.68  Kept:         98611
% 62.28/62.68  Inuse:        1221
% 62.28/62.68  Deleted:      3202
% 62.28/62.68  Deletedinuse: 47
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    555509
% 62.28/62.68  Kept:         100613
% 62.28/62.68  Inuse:        1224
% 62.28/62.68  Deleted:      3213
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying clauses:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    574106
% 62.28/62.68  Kept:         103552
% 62.28/62.68  Inuse:        1230
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    590910
% 62.28/62.68  Kept:         106747
% 62.28/62.68  Inuse:        1240
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    604535
% 62.28/62.68  Kept:         108972
% 62.28/62.68  Inuse:        1255
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    619945
% 62.28/62.68  Kept:         111215
% 62.28/62.68  Inuse:        1271
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    631707
% 62.28/62.68  Kept:         113522
% 62.28/62.68  Inuse:        1273
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    646684
% 62.28/62.68  Kept:         116288
% 62.28/62.68  Inuse:        1281
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    660173
% 62.28/62.68  Kept:         118575
% 62.28/62.68  Inuse:        1285
% 62.28/62.68  Deleted:      3652
% 62.28/62.68  Deletedinuse: 51
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    670332
% 62.28/62.68  Kept:         120593
% 62.28/62.68  Inuse:        1308
% 62.28/62.68  Deleted:      3654
% 62.28/62.68  Deletedinuse: 52
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    676197
% 62.28/62.68  Kept:         123509
% 62.28/62.68  Inuse:        1309
% 62.28/62.68  Deleted:      3654
% 62.28/62.68  Deletedinuse: 52
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying clauses:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    683443
% 62.28/62.68  Kept:         126679
% 62.28/62.68  Inuse:        1314
% 62.28/62.68  Deleted:      4751
% 62.28/62.68  Deletedinuse: 52
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    691311
% 62.28/62.68  Kept:         128693
% 62.28/62.68  Inuse:        1331
% 62.28/62.68  Deleted:      4751
% 62.28/62.68  Deletedinuse: 52
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 62.28/62.68  Generated:    698808
% 62.28/62.68  Kept:         130710
% 62.28/62.68  Inuse:        1347
% 62.28/62.68  Deleted:      4751
% 62.28/62.68  Deletedinuse: 52
% 62.28/62.68  
% 62.28/62.68  Resimplifying inuse:
% 62.28/62.68  Done
% 62.28/62.68  
% 62.28/62.68  
% 62.28/62.68  Intermediate Status:
% 118.11/118.64  Generated:    708093
% 118.11/118.64  Kept:         132950
% 118.11/118.64  Inuse:        1364
% 118.11/118.64  Deleted:      4751
% 118.11/118.64  Deletedinuse: 52
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    719981
% 118.11/118.64  Kept:         135103
% 118.11/118.64  Inuse:        1389
% 118.11/118.64  Deleted:      4751
% 118.11/118.64  Deletedinuse: 52
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    735560
% 118.11/118.64  Kept:         137137
% 118.11/118.64  Inuse:        1410
% 118.11/118.64  Deleted:      4751
% 118.11/118.64  Deletedinuse: 52
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    752904
% 118.11/118.64  Kept:         139462
% 118.11/118.64  Inuse:        1419
% 118.11/118.64  Deleted:      4751
% 118.11/118.64  Deletedinuse: 52
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    773038
% 118.11/118.64  Kept:         144024
% 118.11/118.64  Inuse:        1426
% 118.11/118.64  Deleted:      4751
% 118.11/118.64  Deletedinuse: 52
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying clauses:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    790905
% 118.11/118.64  Kept:         146180
% 118.11/118.64  Inuse:        1454
% 118.11/118.64  Deleted:      5054
% 118.11/118.64  Deletedinuse: 52
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    805969
% 118.11/118.64  Kept:         148189
% 118.11/118.64  Inuse:        1474
% 118.11/118.64  Deleted:      5055
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    827930
% 118.11/118.64  Kept:         150192
% 118.11/118.64  Inuse:        1488
% 118.11/118.64  Deleted:      5055
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    857016
% 118.11/118.64  Kept:         154289
% 118.11/118.64  Inuse:        1494
% 118.11/118.64  Deleted:      5055
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    872876
% 118.11/118.64  Kept:         157338
% 118.11/118.64  Inuse:        1499
% 118.11/118.64  Deleted:      5055
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    880427
% 118.11/118.64  Kept:         159911
% 118.11/118.64  Inuse:        1501
% 118.11/118.64  Deleted:      5055
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    894241
% 118.11/118.64  Kept:         162426
% 118.11/118.64  Inuse:        1504
% 118.11/118.64  Deleted:      5055
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying clauses:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    905932
% 118.11/118.64  Kept:         164486
% 118.11/118.64  Inuse:        1520
% 118.11/118.64  Deleted:      5187
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    916921
% 118.11/118.64  Kept:         166782
% 118.11/118.64  Inuse:        1534
% 118.11/118.64  Deleted:      5187
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    942333
% 118.11/118.64  Kept:         169024
% 118.11/118.64  Inuse:        1555
% 118.11/118.64  Deleted:      5187
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    984438
% 118.11/118.64  Kept:         174113
% 118.11/118.64  Inuse:        1564
% 118.11/118.64  Deleted:      5187
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    1000752
% 118.11/118.64  Kept:         177545
% 118.11/118.64  Inuse:        1579
% 118.11/118.64  Deleted:      5187
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    1012132
% 118.11/118.64  Kept:         180129
% 118.11/118.64  Inuse:        1599
% 118.11/118.64  Deleted:      5187
% 118.11/118.64  Deletedinuse: 53
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  Resimplifying inuse:
% 118.11/118.64  Done
% 118.11/118.64  
% 118.11/118.64  
% 118.11/118.64  Intermediate Status:
% 118.11/118.64  Generated:    1021943
% 118.20/118.64  Kept:         182155
% 118.20/118.64  Inuse:        1611
% 118.20/118.64  Deleted:      5187
% 118.20/118.64  Deletedinuse: 53
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  
% 118.20/118.64  Intermediate Status:
% 118.20/118.64  Generated:    1034253
% 118.20/118.64  Kept:         184174
% 118.20/118.64  Inuse:        1626
% 118.20/118.64  Deleted:      5187
% 118.20/118.64  Deletedinuse: 53
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  Resimplifying clauses:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  
% 118.20/118.64  Intermediate Status:
% 118.20/118.64  Generated:    1055805
% 118.20/118.64  Kept:         186803
% 118.20/118.64  Inuse:        1634
% 118.20/118.64  Deleted:      5618
% 118.20/118.64  Deletedinuse: 53
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  
% 118.20/118.64  Intermediate Status:
% 118.20/118.64  Generated:    1070095
% 118.20/118.64  Kept:         189627
% 118.20/118.64  Inuse:        1644
% 118.20/118.64  Deleted:      5618
% 118.20/118.64  Deletedinuse: 53
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  
% 118.20/118.64  Intermediate Status:
% 118.20/118.64  Generated:    1087405
% 118.20/118.64  Kept:         192422
% 118.20/118.64  Inuse:        1654
% 118.20/118.64  Deleted:      5618
% 118.20/118.64  Deletedinuse: 53
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  
% 118.20/118.64  Intermediate Status:
% 118.20/118.64  Generated:    1101397
% 118.20/118.64  Kept:         195098
% 118.20/118.64  Inuse:        1664
% 118.20/118.64  Deleted:      5618
% 118.20/118.64  Deletedinuse: 53
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  Resimplifying inuse:
% 118.20/118.64  Done
% 118.20/118.64  
% 118.20/118.64  
% 118.20/118.64  Intermediate Status:
% 118.20/118.64  Generated:    1110235
% 118.20/118.64  Kept:         197114
% 235.08/235.57  Inuse:        1678
% 235.08/235.57  Deleted:      5618
% 235.08/235.57  Deletedinuse: 53
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1119853
% 235.08/235.57  Kept:         199117
% 235.08/235.57  Inuse:        1689
% 235.08/235.57  Deleted:      5618
% 235.08/235.57  Deletedinuse: 53
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1133141
% 235.08/235.57  Kept:         201212
% 235.08/235.57  Inuse:        1704
% 235.08/235.57  Deleted:      5619
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1142311
% 235.08/235.57  Kept:         203486
% 235.08/235.57  Inuse:        1714
% 235.08/235.57  Deleted:      5619
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying clauses:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1150354
% 235.08/235.57  Kept:         205497
% 235.08/235.57  Inuse:        1726
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1156431
% 235.08/235.57  Kept:         207575
% 235.08/235.57  Inuse:        1733
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1163506
% 235.08/235.57  Kept:         209906
% 235.08/235.57  Inuse:        1739
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1177036
% 235.08/235.57  Kept:         211966
% 235.08/235.57  Inuse:        1744
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1189192
% 235.08/235.57  Kept:         213968
% 235.08/235.57  Inuse:        1749
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1200230
% 235.08/235.57  Kept:         216217
% 235.08/235.57  Inuse:        1764
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1221707
% 235.08/235.57  Kept:         218518
% 235.08/235.57  Inuse:        1769
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1243194
% 235.08/235.57  Kept:         220624
% 235.08/235.57  Inuse:        1774
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1255304
% 235.08/235.57  Kept:         222908
% 235.08/235.57  Inuse:        1779
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1276669
% 235.08/235.57  Kept:         225221
% 235.08/235.57  Inuse:        1784
% 235.08/235.57  Deleted:      5798
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying clauses:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1297272
% 235.08/235.57  Kept:         227267
% 235.08/235.57  Inuse:        1789
% 235.08/235.57  Deleted:      5929
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1313811
% 235.08/235.57  Kept:         230606
% 235.08/235.57  Inuse:        1799
% 235.08/235.57  Deleted:      5929
% 235.08/235.57  Deletedinuse: 54
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1322558
% 235.08/235.57  Kept:         232915
% 235.08/235.57  Inuse:        1809
% 235.08/235.57  Deleted:      5930
% 235.08/235.57  Deletedinuse: 55
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1368931
% 235.08/235.57  Kept:         236773
% 235.08/235.57  Inuse:        1834
% 235.08/235.57  Deleted:      5930
% 235.08/235.57  Deletedinuse: 55
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1390477
% 235.08/235.57  Kept:         238835
% 235.08/235.57  Inuse:        1839
% 235.08/235.57  Deleted:      5930
% 235.08/235.57  Deletedinuse: 55
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1413052
% 235.08/235.57  Kept:         240846
% 235.08/235.57  Inuse:        1845
% 235.08/235.57  Deleted:      5930
% 235.08/235.57  Deletedinuse: 55
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1443536
% 235.08/235.57  Kept:         250538
% 235.08/235.57  Inuse:        1859
% 235.08/235.57  Deleted:      5930
% 235.08/235.57  Deletedinuse: 55
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying clauses:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1528954
% 235.08/235.57  Kept:         252574
% 235.08/235.57  Inuse:        1898
% 235.08/235.57  Deleted:      6452
% 235.08/235.57  Deletedinuse: 58
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1555657
% 235.08/235.57  Kept:         256981
% 235.08/235.57  Inuse:        1903
% 235.08/235.57  Deleted:      6452
% 235.08/235.57  Deletedinuse: 58
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1648623
% 235.08/235.57  Kept:         259018
% 235.08/235.57  Inuse:        1927
% 235.08/235.57  Deleted:      6452
% 235.08/235.57  Deletedinuse: 58
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1678596
% 235.08/235.57  Kept:         261089
% 235.08/235.57  Inuse:        1952
% 235.08/235.57  Deleted:      6452
% 235.08/235.57  Deletedinuse: 58
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  Resimplifying inuse:
% 235.08/235.57  Done
% 235.08/235.57  
% 235.08/235.57  
% 235.08/235.57  Intermediate Status:
% 235.08/235.57  Generated:    1741589
% 235.08/235.57  KeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------