TSTP Solution File: LCL817-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL817-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:58:23 EDT 2022
% Result : Unsatisfiable 276.66s 277.12s
% Output : Refutation 276.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL817-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Mon Jul 4 16:54:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.75/1.15 *** allocated 10000 integers for termspace/termends
% 0.75/1.15 *** allocated 10000 integers for clauses
% 0.75/1.15 *** allocated 10000 integers for justifications
% 0.75/1.15 Bliksem 1.12
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Automatic Strategy Selection
% 0.75/1.15
% 0.75/1.15 Clauses:
% 0.75/1.15 [
% 0.75/1.15 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.15 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.15 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.15 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.15 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.75/1.15 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.15 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.75/1.15 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.15 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.75/1.15 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.75/1.15 ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.75/1.15 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.75/1.15 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.75/1.15 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.75/1.15 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.75/1.15 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.75/1.15 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.75/1.15 ), W ), W ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.75/1.15 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.75/1.15 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.75/1.15 , 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.75/1.15 , 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.15 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.75/1.15 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.75/1.15 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.75/1.15 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.75/1.15 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.75/1.15 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.75/1.15 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.75/1.15 =( Y, T ) ],
% 0.75/1.15 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.75/1.15 =( X, T ) ],
% 0.75/1.15 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.75/1.15 T, Y, Z ), Z ) ) ],
% 0.75/1.15 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.75/1.15 Y, T, Z ), Z ) ) ],
% 0.75/1.15 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.75/1.15 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.75/1.15 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.75/1.15 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.75/1.15 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.75/1.15 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.75/1.15 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X
% 0.75/1.15 , Y, T ) ), ~( 'c_Type_Otypings'( X, 'c_List_Oappend'( T,
% 0.75/1.15 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.75/1.15 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.75/1.15 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.15 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.15 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.75/1.15 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.15 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.75/1.15 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.75/1.15 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.75/1.15 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.15 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.75/1.15 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.75/1.15 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.75/1.15 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.75/1.15 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.75/1.15 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.75/1.15 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.75/1.15 Y ) ],
% 0.75/1.15 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.75/1.15 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.75/1.15 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.15 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.75/1.15 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.15 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.75/1.15 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.75/1.15 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.75/1.15 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.75/1.15 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), T ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.75/1.15 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.75/1.15 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ) ), T ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.75/1.15 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.75/1.15 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.75/1.15 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.75/1.15 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.75/1.15 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.75/1.15 , T ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.75/1.15 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.75/1.15 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.75/1.15 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.75/1.15 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.75/1.15 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.75/1.15 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.75/1.15 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.75/1.15 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.75/1.15 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.75/1.15 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.75/1.15 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.15 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.15 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.75/1.15 , 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.15 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.75/1.15 T, X ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.75/1.15 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.75/1.15 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.75/1.15 ), X ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.75/1.15 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.75/1.15 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.75/1.15 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.75/1.15 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.75/1.15 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.75/1.15 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.75/1.15 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.75/1.15 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.75/1.15 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.75/1.15 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.75/1.15 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.75/1.15 ) ), =( X, T ) ],
% 0.75/1.15 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.75/1.15 ) ), =( Y, U ) ],
% 0.75/1.15 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.75/1.15 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.75/1.15 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.75/1.15 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.75/1.15 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.75/1.15 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.75/1.15 ) ],
% 0.75/1.15 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.15 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.75/1.15 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.75/1.15 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.15 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.15 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.15 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.15 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.75/1.15 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.75/1.15 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.75/1.15 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.75/1.15 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.75/1.15 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.75/1.15 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.75/1.15 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.75/1.15 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.75/1.15 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.75/1.15 'tc_nat' ) ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.75/1.15 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.75/1.15 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.15 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.15 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.75/1.15 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.75/1.15 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.75/1.15 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.75/1.15 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.75/1.15 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.15 ), =( Z, Y ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.15 , Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.15 , Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.75/1.15 , X ) ) ],
% 0.75/1.15 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.75/1.15 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.75/1.15 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.15 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.15 ), Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.75/1.15 ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.75/1.15 ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.75/1.15 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.75/1.15 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.75/1.15 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.15 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.75/1.15 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.75/1.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.75/1.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.15 ), 'tc_nat' ) ) ],
% 0.75/1.15 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.15 ), 'tc_nat' ) ) ],
% 0.75/1.15 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.75/1.15 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.75/1.15 , Y ) ],
% 0.75/1.15 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.75/1.15 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.15 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.75/1.15 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.75/1.15 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.75/1.15 , Z ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.75/1.15 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.75/1.15 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.75/1.15 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.75/1.15 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.75/1.15 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.15 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.75/1.15 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.75/1.15 , Y ) ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.75/1.15 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.75/1.15 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.75/1.15 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.75/1.15 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.75/1.15 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'( X, Y ) ),
% 0.75/1.15 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.75/1.15 , Z ) ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.75/1.15 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.75/1.15 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.15 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.15 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.15 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.75/1.15 ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.15 ), Z ) ) ) ],
% 0.75/1.15 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.75/1.15 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.75/1.15 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.75/1.15 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.75/1.15 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.75/1.15 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.75/1.15 , Y ), Z ) ) ],
% 0.75/1.15 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.75/1.15 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.75/1.15 ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.75/1.15 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.75/1.15 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.15 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.75/1.15 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.75/1.15 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.15 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.75/1.15 'tc_nat' ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.75/1.15 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.75/1.15 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.15 [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.15 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.15 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.75/1.15 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.75/1.15 'v_Ts____', 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.15 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP( hAPP(
% 0.75/1.15 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.75/1.15 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.75/1.15 'tc_Type_Otype' ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.75/1.15 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.75/1.15 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ],
% 0.75/1.15 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.75/1.15 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.75/1.15 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.75/1.15 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.75/1.15 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.75/1.15 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.75/1.15 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.75/1.15 ],
% 0.75/1.15 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.75/1.15 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.75/1.15 hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) ), ~(
% 0.75/1.15 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', T ) )
% 0.75/1.15 ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype' ), Z,
% 0.75/1.15 V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.75/1.15 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.75/1.15 hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) ), ~(
% 0.75/1.15 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', T ) )
% 0.75/1.15 ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype' ), Z,
% 0.75/1.15 V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 0.75/1.15 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.75/1.15 , Y ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.75/1.15 ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ), 'c_Lambda_Olift'( Z, Y )
% 0.75/1.15 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.15 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), X ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.75/1.15 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.75/1.15 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.75/1.15 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.75/1.15 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.75/1.15 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.75/1.15 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.75/1.15 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.75/1.15 , Y ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.15 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.75/1.15 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.75/1.15 ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.75/1.15 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.75/1.15 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.75/1.15 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.75/1.15 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.75/1.15 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.75/1.15 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.75/1.15 'tc_Type_Otype' ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.15 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 0.75/1.15 [ =( 'v_n____', 'v_i____' ) ],
% 0.75/1.15 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.75/1.15 , Z ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.75/1.15 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.75/1.15 , X ), T ) ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.75/1.15 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.75/1.15 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.75/1.15 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.15 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 0.75/1.15 [ ~( 'c_Type_Otyping'( 'v_e____', 'c_Lambda_Osubst'( 'v_a____',
% 0.75/1.15 'v_u____', 'v_i____' ), 'v_T_H_H____' ) ) ],
% 0.75/1.15 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.75/1.15 'class_Orderings_Opreorder'( Y ) ) ],
% 0.75/1.15 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.75/1.15 'class_Orderings_Oorder'( Y ) ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.75/1.15 ],
% 0.75/1.15 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.75/1.15 ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.75/1.15 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.75/1.15 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.75/1.15 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.75/1.15 ] .
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 percentage equality = 0.330189, percentage horn = 0.947368
% 0.75/1.15 This is a problem with some equality
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Options Used:
% 0.75/1.15
% 0.75/1.15 useres = 1
% 0.75/1.15 useparamod = 1
% 0.75/1.15 useeqrefl = 1
% 0.75/1.15 useeqfact = 1
% 0.75/1.15 usefactor = 1
% 0.75/1.15 usesimpsplitting = 0
% 0.75/1.15 usesimpdemod = 5
% 0.75/1.15 usesimpres = 3
% 0.75/1.15
% 0.75/1.15 resimpinuse = 1000
% 0.75/1.15 resimpclauses = 20000
% 0.75/1.15 substype = eqrewr
% 0.75/1.15 backwardsubs = 1
% 0.75/1.15 selectoldest = 5
% 0.75/1.15
% 0.75/1.15 litorderings [0] = split
% 0.75/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.15
% 0.75/1.15 termordering = kbo
% 0.75/1.15
% 0.75/1.15 litapriori = 0
% 0.75/1.15 termapriori = 1
% 0.75/1.15 litaposteriori = 0
% 0.75/1.15 termaposteriori = 0
% 0.75/1.15 demodaposteriori = 0
% 0.75/1.15 ordereqreflfact = 0
% 0.75/1.15
% 0.75/1.15 litselect = negord
% 0.75/1.15
% 0.75/1.15 maxweight = 15
% 0.75/1.15 maxdepth = 30000
% 0.75/1.15 maxlength = 115
% 0.75/1.15 maxnrvars = 195
% 0.75/1.15 excuselevel = 1
% 0.75/1.15 increasemaxweight = 1
% 0.75/1.15
% 0.75/1.15 maxselected = 10000000
% 0.75/1.15 maxnrclauses = 10000000
% 0.75/1.15
% 0.75/1.15 showgenerated = 0
% 0.75/1.15 showkept = 0
% 0.75/1.15 showselected = 0
% 0.75/1.15 showdeleted = 0
% 0.75/1.15 showresimp = 1
% 0.75/1.15 showstatus = 2000
% 0.75/1.15
% 0.75/1.15 prologoutput = 1
% 0.75/1.15 nrgoals = 5000000
% 0.75/1.15 totalproof = 1
% 0.75/1.15
% 0.75/1.15 Symbols occurring in the translation:
% 0.75/1.15
% 0.75/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.15 . [1, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.75/1.15 ! [4, 1] (w:0, o:96, a:1, s:1, b:0),
% 0.75/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.15 'c_List_Oappend' [43, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.75/1.15 'c_List_Olist_ONil' [48, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.75/1.15 'c_List_Olist_OCons' [49, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.75/1.15 'c_List_Olistsp' [52, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.75/1.15 'c_ListOrder_Ostep1' [54, 4] (w:1, o:169, a:1, s:1, b:0),
% 0.75/1.15 hAPP [55, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.75/1.15 hBOOL [56, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.75/1.15 'c_List_Ofoldr' [60, 5] (w:1, o:177, a:1, s:1, b:0),
% 0.75/1.15 'c_Type_Osko__Type__Xtypes__snocE__1__2' [65, 4] (w:1, o:170, a:1, s:
% 0.75/1.15 1, b:0),
% 0.75/1.15 'c_Type_Otyping' [66, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.75/1.15 'tc_Lambda_OdB' [67, 0] (w:1, o:47, a:1, s:1, b:0),
% 3.33/3.75 'c_Type_Otypings' [68, 3] (w:1, o:163, a:1, s:1, b:0),
% 3.33/3.75 'c_List_Ofoldl' [70, 5] (w:1, o:178, a:1, s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Olordered__ab__group__add' [71, 1] (w:1, o:104
% 3.33/3.75 , a:1, s:1, b:0),
% 3.33/3.75 'c_HOL_Ozero__class_Ozero' [72, 1] (w:1, o:105, a:1, s:1, b:0),
% 3.33/3.75 'c_HOL_Oplus__class_Oplus' [73, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.33/3.75 'c_HOL_Oord__class_Oless' [74, 3] (w:1, o:164, a:1, s:1, b:0),
% 3.33/3.75 'class_Ring__and__Field_Ocomm__semiring__1' [75, 1] (w:1, o:107, a:1
% 3.33/3.75 , s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Omonoid__add' [76, 1] (w:1, o:108, a:1, s:1, b:0)
% 3.33/3.75 ,
% 3.33/3.75 'class_OrderedGroup_Ocomm__monoid__add' [77, 1] (w:1, o:109, a:1, s:1
% 3.33/3.75 , b:0),
% 3.33/3.75 'class_Ring__and__Field_Oidom' [78, 1] (w:1, o:110, a:1, s:1, b:0),
% 3.33/3.75 'class_Int_Onumber__ring' [79, 1] (w:1, o:111, a:1, s:1, b:0),
% 3.33/3.75 'class_Ring__and__Field_Oordered__semidom' [80, 1] (w:1, o:112, a:1
% 3.33/3.75 , s:1, b:0),
% 3.33/3.75 'c_Nat_Osemiring__1__class_Oof__nat' [82, 2] (w:1, o:155, a:1, s:1
% 3.33/3.75 , b:0),
% 3.33/3.75 'class_OrderedGroup_Ocancel__semigroup__add' [88, 1] (w:1, o:113, a:1
% 3.33/3.75 , s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Ocancel__ab__semigroup__add' [89, 1] (w:1, o:114
% 3.33/3.75 , a:1, s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Opordered__comm__monoid__add' [91, 1] (w:1, o:115
% 3.33/3.75 , a:1, s:1, b:0),
% 3.33/3.75 'class_Ring__and__Field_Osemiring__1' [92, 1] (w:1, o:116, a:1, s:1
% 3.33/3.75 , b:0),
% 3.33/3.75 'tc_nat' [93, 0] (w:1, o:58, a:1, s:1, b:0),
% 3.33/3.75 'c_Predicate_Oconversep' [94, 3] (w:1, o:165, a:1, s:1, b:0),
% 3.33/3.75 'c_Transitive__Closure_Ortranclp' [95, 2] (w:1, o:156, a:1, s:1, b:0)
% 3.33/3.75 ,
% 3.33/3.75 'class_OrderedGroup_Oab__group__add' [96, 1] (w:1, o:117, a:1, s:1
% 3.33/3.75 , b:0),
% 3.33/3.75 'class_OrderedGroup_Oab__semigroup__add' [100, 1] (w:1, o:118, a:1
% 3.33/3.75 , s:1, b:0),
% 3.33/3.75 'c_InductTermi_OIT' [101, 0] (w:1, o:59, a:1, s:1, b:0),
% 3.33/3.75 'v_ua______' [102, 0] (w:1, o:60, a:1, s:1, b:0),
% 3.33/3.75 'c_Wellfounded_Oaccp' [103, 3] (w:1, o:166, a:1, s:1, b:0),
% 3.33/3.75 'c_Lambda_Obeta' [104, 0] (w:1, o:61, a:1, s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Osemigroup__add' [105, 1] (w:1, o:119, a:1, s:1
% 3.33/3.75 , b:0),
% 3.33/3.75 'class_Nat_Osemiring__char__0' [106, 1] (w:1, o:103, a:1, s:1, b:0),
% 3.33/3.75
% 3.33/3.75 'class_Ring__and__Field_Oordered__idom' [108, 1] (w:1, o:120, a:1, s:
% 3.33/3.75 1, b:0),
% 3.33/3.75 'c_Lambda_OdB_OApp' [109, 0] (w:1, o:63, a:1, s:1, b:0),
% 3.33/3.75 'c_fequal' [111, 1] (w:1, o:121, a:1, s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [112, 1]
% 3.33/3.75 (w:1, o:122, a:1, s:1, b:0),
% 3.33/3.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [113, 1]
% 3.33/3.75 (w:1, o:123, a:1, s:1, b:0),
% 3.33/3.75 'class_Orderings_Opreorder' [115, 1] (w:1, o:125, a:1, s:1, b:0),
% 3.33/3.75 'class_Orderings_Olinorder' [116, 1] (w:1, o:126, a:1, s:1, b:0),
% 3.33/3.75 'class_Orderings_Oorder' [117, 1] (w:1, o:124, a:1, s:1, b:0),
% 3.33/3.75 'c_Lambda_OdB_OAbs' [119, 1] (w:1, o:127, a:1, s:1, b:0),
% 3.33/3.75 'c_Lambda_OdB_OVar' [121, 1] (w:1, o:128, a:1, s:1, b:0),
% 3.33/3.75 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [126, 4] (w:1, o:171, a:
% 3.33/3.75 1, s:1, b:0),
% 3.33/3.75 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [127, 4] (w:1, o:172, a:
% 3.33/3.75 1, s:1, b:0),
% 3.33/3.75 'c_Type_Oshift' [128, 4] (w:1, o:173, a:1, s:1, b:0),
% 3.33/3.75 'c_Lambda_Osubst' [134, 3] (w:1, o:167, a:1, s:1, b:0),
% 3.33/3.75 'v_ea______' [135, 0] (w:1, o:69, a:1, s:1, b:0),
% 3.33/3.75 'v_T____' [136, 0] (w:1, o:70, a:1, s:1, b:0),
% 3.33/3.75 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [138, 4] (w:1, o:174, a:
% 3.33/3.75 1, s:1, b:0),
% 3.33/3.75 'c_Type_Osko__Type__Xvar__app__types__1__1' [140, 4] (w:1, o:175, a:1
% 3.33/3.75 , s:1, b:0),
% 3.33/3.75 'v_rs____' [141, 0] (w:1, o:75, a:1, s:1, b:0),
% 3.33/3.75 'v_a____' [142, 0] (w:1, o:76, a:1, s:1, b:0),
% 3.33/3.75 'v_as____' [143, 0] (w:1, o:77, a:1, s:1, b:0),
% 3.33/3.75 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [145, 3] (w:
% 3.33/3.75 1, o:168, a:1, s:1, b:0),
% 3.33/3.75 'c_Type_Otype_OFun' [148, 0] (w:1, o:79, a:1, s:1, b:0),
% 3.33/3.75 'c_Type_Osko__Type__Xtyping__elims__2__1' [149, 4] (w:1, o:176, a:1
% 3.33/3.75 , s:1, b:0),
% 3.33/3.75 'tc_Type_Otype' [150, 0] (w:1, o:80, a:1, s:1, b:0),
% 3.33/3.75 'c_Lambda_Olift' [151, 2] (w:1, o:157, a:1, s:1, b:0),
% 22.21/22.60 'v_T_H_H____' [154, 0] (w:1, o:81, a:1, s:1, b:0),
% 22.21/22.60 'v_Ts____' [155, 0] (w:1, o:82, a:1, s:1, b:0),
% 22.21/22.60 'v_T_H____' [156, 0] (w:1, o:83, a:1, s:1, b:0),
% 22.21/22.60 'v_e____' [157, 0] (w:1, o:84, a:1, s:1, b:0),
% 22.21/22.60 'v_i____' [158, 0] (w:1, o:85, a:1, s:1, b:0),
% 22.21/22.60 'v_n____' [159, 0] (w:1, o:86, a:1, s:1, b:0),
% 22.21/22.60 'v_ia______' [160, 0] (w:1, o:87, a:1, s:1, b:0),
% 22.21/22.60 'v_T_Ha______' [161, 0] (w:1, o:88, a:1, s:1, b:0),
% 22.21/22.60 'v_u____' [171, 0] (w:1, o:90, a:1, s:1, b:0),
% 22.21/22.60 'tc_fun' [175, 2] (w:1, o:158, a:1, s:1, b:0),
% 22.21/22.60 'tc_bool' [176, 0] (w:1, o:93, a:1, s:1, b:0).
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Starting Search:
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 6033
% 22.21/22.60 Kept: 2049
% 22.21/22.60 Inuse: 76
% 22.21/22.60 Deleted: 3
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 14692
% 22.21/22.60 Kept: 4372
% 22.21/22.60 Inuse: 135
% 22.21/22.60 Deleted: 3
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 23977
% 22.21/22.60 Kept: 6638
% 22.21/22.60 Inuse: 187
% 22.21/22.60 Deleted: 4
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 35941
% 22.21/22.60 Kept: 8670
% 22.21/22.60 Inuse: 226
% 22.21/22.60 Deleted: 5
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 47914
% 22.21/22.60 Kept: 10732
% 22.21/22.60 Inuse: 280
% 22.21/22.60 Deleted: 6
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 62879
% 22.21/22.60 Kept: 12745
% 22.21/22.60 Inuse: 305
% 22.21/22.60 Deleted: 6
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 73958
% 22.21/22.60 Kept: 14964
% 22.21/22.60 Inuse: 329
% 22.21/22.60 Deleted: 7
% 22.21/22.60 Deletedinuse: 0
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 87169
% 22.21/22.60 Kept: 16970
% 22.21/22.60 Inuse: 370
% 22.21/22.60 Deleted: 9
% 22.21/22.60 Deletedinuse: 1
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 97940
% 22.21/22.60 Kept: 19100
% 22.21/22.60 Inuse: 407
% 22.21/22.60 Deleted: 10
% 22.21/22.60 Deletedinuse: 1
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying clauses:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 107781
% 22.21/22.60 Kept: 21102
% 22.21/22.60 Inuse: 442
% 22.21/22.60 Deleted: 186
% 22.21/22.60 Deletedinuse: 2
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 120347
% 22.21/22.60 Kept: 23689
% 22.21/22.60 Inuse: 452
% 22.21/22.60 Deleted: 186
% 22.21/22.60 Deletedinuse: 2
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 128066
% 22.21/22.60 Kept: 25838
% 22.21/22.60 Inuse: 474
% 22.21/22.60 Deleted: 186
% 22.21/22.60 Deletedinuse: 2
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 139238
% 22.21/22.60 Kept: 27867
% 22.21/22.60 Inuse: 515
% 22.21/22.60 Deleted: 186
% 22.21/22.60 Deletedinuse: 2
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 149290
% 22.21/22.60 Kept: 30024
% 22.21/22.60 Inuse: 537
% 22.21/22.60 Deleted: 187
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 166607
% 22.21/22.60 Kept: 32646
% 22.21/22.60 Inuse: 550
% 22.21/22.60 Deleted: 187
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 180989
% 22.21/22.60 Kept: 34902
% 22.21/22.60 Inuse: 557
% 22.21/22.60 Deleted: 187
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 196874
% 22.21/22.60 Kept: 36941
% 22.21/22.60 Inuse: 576
% 22.21/22.60 Deleted: 187
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 205962
% 22.21/22.60 Kept: 38944
% 22.21/22.60 Inuse: 592
% 22.21/22.60 Deleted: 187
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying clauses:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 218306
% 22.21/22.60 Kept: 41087
% 22.21/22.60 Inuse: 617
% 22.21/22.60 Deleted: 448
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 234481
% 22.21/22.60 Kept: 43087
% 22.21/22.60 Inuse: 639
% 22.21/22.60 Deleted: 448
% 22.21/22.60 Deletedinuse: 3
% 22.21/22.60
% 22.21/22.60 Resimplifying inuse:
% 22.21/22.60 Done
% 22.21/22.60
% 22.21/22.60
% 22.21/22.60 Intermediate Status:
% 22.21/22.60 Generated: 244583
% 22.21/22.60 Kept: 45368
% 22.21/22.60 Inuse: 652
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 254654
% 276.66/277.12 Kept: 47426
% 276.66/277.12 Inuse: 672
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 266173
% 276.66/277.12 Kept: 49797
% 276.66/277.12 Inuse: 697
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 276694
% 276.66/277.12 Kept: 52106
% 276.66/277.12 Inuse: 712
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 288270
% 276.66/277.12 Kept: 54162
% 276.66/277.12 Inuse: 737
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 302012
% 276.66/277.12 Kept: 56572
% 276.66/277.12 Inuse: 752
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 308513
% 276.66/277.12 Kept: 58768
% 276.66/277.12 Inuse: 758
% 276.66/277.12 Deleted: 448
% 276.66/277.12 Deletedinuse: 3
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying clauses:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 317658
% 276.66/277.12 Kept: 61242
% 276.66/277.12 Inuse: 777
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 328497
% 276.66/277.12 Kept: 63641
% 276.66/277.12 Inuse: 792
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 336938
% 276.66/277.12 Kept: 65950
% 276.66/277.12 Inuse: 807
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 359107
% 276.66/277.12 Kept: 68297
% 276.66/277.12 Inuse: 817
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 375912
% 276.66/277.12 Kept: 70623
% 276.66/277.12 Inuse: 832
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 396373
% 276.66/277.12 Kept: 73032
% 276.66/277.12 Inuse: 852
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 406739
% 276.66/277.12 Kept: 75727
% 276.66/277.12 Inuse: 856
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 429432
% 276.66/277.12 Kept: 78159
% 276.66/277.12 Inuse: 862
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 448265
% 276.66/277.12 Kept: 80169
% 276.66/277.12 Inuse: 880
% 276.66/277.12 Deleted: 581
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying clauses:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 466439
% 276.66/277.12 Kept: 85768
% 276.66/277.12 Inuse: 897
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 571747
% 276.66/277.12 Kept: 87780
% 276.66/277.12 Inuse: 948
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 641459
% 276.66/277.12 Kept: 91588
% 276.66/277.12 Inuse: 980
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 770523
% 276.66/277.12 Kept: 93595
% 276.66/277.12 Inuse: 1048
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 816590
% 276.66/277.12 Kept: 95596
% 276.66/277.12 Inuse: 1079
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 890305
% 276.66/277.12 Kept: 97597
% 276.66/277.12 Inuse: 1150
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1121394
% 276.66/277.12 Kept: 100190
% 276.66/277.12 Inuse: 1256
% 276.66/277.12 Deleted: 644
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying clauses:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1256024
% 276.66/277.12 Kept: 102217
% 276.66/277.12 Inuse: 1365
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1401945
% 276.66/277.12 Kept: 104218
% 276.66/277.12 Inuse: 1482
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1431843
% 276.66/277.12 Kept: 106229
% 276.66/277.12 Inuse: 1505
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1474006
% 276.66/277.12 Kept: 108243
% 276.66/277.12 Inuse: 1540
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1519570
% 276.66/277.12 Kept: 110812
% 276.66/277.12 Inuse: 1553
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1593935
% 276.66/277.12 Kept: 112840
% 276.66/277.12 Inuse: 1569
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 1736051
% 276.66/277.12 Kept: 114883
% 276.66/277.12 Inuse: 1598
% 276.66/277.12 Deleted: 984
% 276.66/277.12 Deletedinuse: 4
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 2008484
% 276.66/277.12 Kept: 116895
% 276.66/277.12 Inuse: 1738
% 276.66/277.12 Deleted: 990
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 2223384
% 276.66/277.12 Kept: 118896
% 276.66/277.12 Inuse: 1863
% 276.66/277.12 Deleted: 990
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying clauses:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 2616605
% 276.66/277.12 Kept: 120913
% 276.66/277.12 Inuse: 1964
% 276.66/277.12 Deleted: 1687
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 2725839
% 276.66/277.12 Kept: 122923
% 276.66/277.12 Inuse: 2041
% 276.66/277.12 Deleted: 1687
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 2797738
% 276.66/277.12 Kept: 125048
% 276.66/277.12 Inuse: 2095
% 276.66/277.12 Deleted: 1687
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 2960251
% 276.66/277.12 Kept: 127136
% 276.66/277.12 Inuse: 2143
% 276.66/277.12 Deleted: 1687
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 3765580
% 276.66/277.12 Kept: 129139
% 276.66/277.12 Inuse: 2200
% 276.66/277.12 Deleted: 1687
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 5056176
% 276.66/277.12 Kept: 131141
% 276.66/277.12 Inuse: 2294
% 276.66/277.12 Deleted: 1687
% 276.66/277.12 Deletedinuse: 10
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 6748400
% 276.66/277.12 Kept: 133150
% 276.66/277.12 Inuse: 2483
% 276.66/277.12 Deleted: 1695
% 276.66/277.12 Deletedinuse: 15
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 7442164
% 276.66/277.12 Kept: 135185
% 276.66/277.12 Inuse: 2561
% 276.66/277.12 Deleted: 1752
% 276.66/277.12 Deletedinuse: 63
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 8973356
% 276.66/277.12 Kept: 137185
% 276.66/277.12 Inuse: 2698
% 276.66/277.12 Deleted: 1803
% 276.66/277.12 Deletedinuse: 108
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12 Resimplifying inuse:
% 276.66/277.12 Done
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Intermediate Status:
% 276.66/277.12 Generated: 9953548
% 276.66/277.12 Kept: 139197
% 276.66/277.12 Inuse: 2797
% 276.66/277.12 Deleted: 1803
% 276.66/277.12 Deletedinuse: 108
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 Bliksems!, er is een bewijs:
% 276.66/277.12 % SZS status Unsatisfiable
% 276.66/277.12 % SZS output start Refutation
% 276.66/277.12
% 276.66/277.12 clause( 71, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 210, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 213, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 276.66/277.12 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 220, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 276.66/277.12 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 276.66/277.12 X, 'c_Lambda_Osubst'( U, Y, T ), W ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 221, [ ~( 'c_Type_Otyping'( 'v_e____', 'c_Lambda_Osubst'( 'v_a____'
% 276.66/277.12 , 'v_u____', 'v_i____' ), 'v_T_H_H____' ) ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 236, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 14574, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_nat' )
% 276.66/277.12 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, 'tc_nat' ) ) ), =( X, Y ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 81187, [ ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ),
% 276.66/277.12 'c_Type_Otyping'( 'v_e____', 'c_Lambda_Osubst'( 'v_a____', X, 'v_i____' )
% 276.66/277.12 , 'v_T_H_H____' ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 95149, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', X ), ~( =(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_T____', 'tc_nat' ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_nat' ) ) ) ] )
% 276.66/277.12 .
% 276.66/277.12 clause( 139575, [] )
% 276.66/277.12 .
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 % SZS output end Refutation
% 276.66/277.12 found a proof!
% 276.66/277.12
% 276.66/277.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 276.66/277.12
% 276.66/277.12 initialclauses(
% 276.66/277.12 [ clause( 139577, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 276.66/277.12 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 276.66/277.12 , clause( 139578, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 276.66/277.12 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139579, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 276.66/277.12 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 276.66/277.12 , clause( 139580, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 276.66/277.12 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139581, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 276.66/277.12 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 276.66/277.12 , clause( 139582, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 276.66/277.12 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 276.66/277.12 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139583, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 276.66/277.12 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 276.66/277.12 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139584, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 276.66/277.12 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139585, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 276.66/277.12 'c_List_Olist_ONil'( Z ) ) ] )
% 276.66/277.12 , clause( 139586, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 276.66/277.12 'c_List_Olist_ONil'( Z ) ) ] )
% 276.66/277.12 , clause( 139587, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 276.66/277.12 'c_List_Olist_ONil'( Z ) ) ] )
% 276.66/277.12 , clause( 139588, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 276.66/277.12 'c_List_Olist_ONil'( Z ) ) ] )
% 276.66/277.12 , clause( 139589, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 276.66/277.12 ~( 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 276.66/277.12 , clause( 139590, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 276.66/277.12 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 276.66/277.12 ), W ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 276.66/277.12 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ] )
% 276.66/277.12 , clause( 139591, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 276.66/277.12 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 276.66/277.12 , clause( 139592, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 276.66/277.12 Z ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 276.66/277.12 , clause( 139593, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 276.66/277.12 , X ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 276.66/277.12 , clause( 139594, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 276.66/277.12 , X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 276.66/277.12 , clause( 139595, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~(
% 276.66/277.12 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 276.66/277.12 'c_List_Olist_ONil'( U ), U ), U ), 'c_List_Oappend'( W,
% 276.66/277.12 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ] )
% 276.66/277.12 , clause( 139596, [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U,
% 276.66/277.12 T, W ), 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139597, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 276.66/277.12 ) ) ] )
% 276.66/277.12 , clause( 139598, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ),
% 276.66/277.12 Y ) ] )
% 276.66/277.12 , clause( 139599, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 276.66/277.12 ) ) ] )
% 276.66/277.12 , clause( 139600, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 276.66/277.12 ) ) ] )
% 276.66/277.12 , clause( 139601, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 276.66/277.12 X ) ] )
% 276.66/277.12 , clause( 139602, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X
% 276.66/277.12 , T, Z ) ) ), =( Y, T ) ] )
% 276.66/277.12 , clause( 139603, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 276.66/277.12 , Y, Z ) ) ), =( X, T ) ] )
% 276.66/277.12 , clause( 139604, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 276.66/277.12 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139605, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 276.66/277.12 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139606, [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ),
% 276.66/277.12 'c_List_Oappend'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139607, [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ),
% 276.66/277.12 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z
% 276.66/277.12 , U, T ), T ) ] )
% 276.66/277.12 , clause( 139608, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'(
% 276.66/277.12 X, T, U, W ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T,
% 276.66/277.12 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( W ), W ), W ),
% 276.66/277.12 'c_List_Oappend'( U, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 276.66/277.12 ), W ), W ) ) ] )
% 276.66/277.12 , clause( 139609, [ 'c_Type_Otyping'( X, Y,
% 276.66/277.12 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X, Y, T ) ), ~(
% 276.66/277.12 'c_Type_Otypings'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 276.66/277.12 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 276.66/277.12 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139610, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 276.66/277.12 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139611, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 276.66/277.12 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139612, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 276.66/277.12 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 276.66/277.12 , clause( 139613, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 276.66/277.12 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 276.66/277.12 , clause( 139614, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 276.66/277.12 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139615, [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~(
% 276.66/277.12 'c_ListOrder_Ostep1'( Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U,
% 276.66/277.12 'c_List_Olist_ONil'( T ), T ), T ), 'c_List_Oappend'( Y,
% 276.66/277.12 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ] )
% 276.66/277.12 , clause( 139616, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 276.66/277.12 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139617, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ),
% 276.66/277.12 W, U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139618, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 276.66/277.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 276.66/277.12 , clause( 139619, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 276.66/277.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 276.66/277.12 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ] )
% 276.66/277.12 , clause( 139620, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 276.66/277.12 , clause( 139621, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 276.66/277.12 , clause( 139622, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 276.66/277.12 ) ), Y ) ] )
% 276.66/277.12 , clause( 139623, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 276.66/277.12 , Y ), Y ) ] )
% 276.66/277.12 , clause( 139624, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 276.66/277.12 , clause( 139625, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 276.66/277.12 'class_Int_Onumber__ring'( X ) ), =( Y, hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139626, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 276.66/277.12 X ) ), Y ), Y ) ] )
% 276.66/277.12 , clause( 139627, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 276.66/277.12 , clause( 139628, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 276.66/277.12 , clause( 139629, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 276.66/277.12 , clause( 139630, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 276.66/277.12 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 276.66/277.12 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139631, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 276.66/277.12 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) )
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139632, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~(
% 276.66/277.12 'c_ListOrder_Ostep1'( Z, 'c_List_Olist_OCons'( Y, T, U ),
% 276.66/277.12 'c_List_Olist_OCons'( X, W, U ), U ) ) ] )
% 276.66/277.12 , clause( 139633, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 276.66/277.12 'c_List_Olist_ONil'( Z ) ) ) ] )
% 276.66/277.12 , clause( 139634, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 276.66/277.12 'c_List_Olist_ONil'( Z ) ) ) ] )
% 276.66/277.12 , clause( 139635, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 276.66/277.12 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ] )
% 276.66/277.12 , clause( 139636, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 276.66/277.12 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 276.66/277.12 , clause( 139637, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 276.66/277.12 ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 276.66/277.12 , clause( 139638, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 276.66/277.12 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 276.66/277.12 , clause( 139639, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 276.66/277.12 ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 276.66/277.12 X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139640, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 276.66/277.12 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 276.66/277.12 , clause( 139641, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139642, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( 'c_Predicate_Oconversep'( X, Y, Y ), Y
% 276.66/277.12 ), T ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139643, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 276.66/277.12 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 276.66/277.12 , clause( 139644, [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y,
% 276.66/277.12 T ), Z ) ] )
% 276.66/277.12 , clause( 139645, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ] )
% 276.66/277.12 , clause( 139646, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 276.66/277.12 , clause( 139647, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z )
% 276.66/277.12 , T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 276.66/277.12 , clause( 139648, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 276.66/277.12 , clause( 139649, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z )
% 276.66/277.12 , T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 276.66/277.12 , clause( 139650, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 276.66/277.12 , clause( 139651, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 276.66/277.12 , clause( 139652, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 276.66/277.12 X ), Y ), T ) ), Z ) ) ] )
% 276.66/277.12 , clause( 139653, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 276.66/277.12 X ), Y ), Z ) ), T ) ) ] )
% 276.66/277.12 , clause( 139654, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 276.66/277.12 , clause( 139655, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 276.66/277.12 , clause( 139656, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 276.66/277.12 , clause( 139657, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 276.66/277.12 , clause( 139658, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 276.66/277.12 X ), Y ), Z ) ), T ) ) ] )
% 276.66/277.12 , clause( 139659, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 276.66/277.12 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 276.66/277.12 , clause( 139660, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ] )
% 276.66/277.12 , clause( 139661, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 276.66/277.12 'c_List_Olist_OCons'( Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139662, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ),
% 276.66/277.12 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 276.66/277.12 'c_List_Olist_OCons'( Z, T, U ), U ) ] )
% 276.66/277.12 , clause( 139663, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 276.66/277.12 , clause( 139664, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 276.66/277.12 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 276.66/277.12 , clause( 139665, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~(
% 276.66/277.12 'c_Wellfounded_Oaccp'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ) ] )
% 276.66/277.12 , clause( 139666, [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB'
% 276.66/277.12 ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 276.66/277.12 , clause( 139667, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 276.66/277.12 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139668, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 276.66/277.12 , clause( 139669, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 276.66/277.12 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 276.66/277.12 , clause( 139670, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 276.66/277.12 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 276.66/277.12 , clause( 139671, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =(
% 276.66/277.12 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X, X ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ] )
% 276.66/277.12 , clause( 139672, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 276.66/277.12 , clause( 139673, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 276.66/277.12 'class_Int_Onumber__ring'( X ) ), ~( =( Y, hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), =( Z,
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 276.66/277.12 , clause( 139674, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 276.66/277.12 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 276.66/277.12 ) ) ] )
% 276.66/277.12 , clause( 139675, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 276.66/277.12 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ] )
% 276.66/277.12 , clause( 139676, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z
% 276.66/277.12 , Y ) ) ] )
% 276.66/277.12 , clause( 139677, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z )
% 276.66/277.12 , Z ) ) ] )
% 276.66/277.12 , clause( 139678, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 276.66/277.12 ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 276.66/277.12 ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139679, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 276.66/277.12 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 276.66/277.12 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 276.66/277.12 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139680, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139681, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 276.66/277.12 , clause( 139682, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 276.66/277.12 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139683, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T,
% 276.66/277.12 Z ), Y ) ] )
% 276.66/277.12 , clause( 139684, [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 276.66/277.12 hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 276.66/277.12 ) ) ), =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 276.66/277.12 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 276.66/277.12 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 276.66/277.12 , 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139685, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 276.66/277.12 'c_fequal'( X ) ) ] )
% 276.66/277.12 , clause( 139686, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 276.66/277.12 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 276.66/277.12 , clause( 139687, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~(
% 276.66/277.12 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 276.66/277.12 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 276.66/277.12 , clause( 139688, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 276.66/277.12 T, X ) ) ] )
% 276.66/277.12 , clause( 139689, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 276.66/277.12 , Z, X ) ) ) ] )
% 276.66/277.12 , clause( 139690, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139691, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 276.66/277.12 , clause( 139692, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 276.66/277.12 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 276.66/277.12 , clause( 139693, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 276.66/277.12 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 276.66/277.12 , clause( 139694, [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 276.66/277.12 , U, T, W ), hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139695, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'(
% 276.66/277.12 X, Y, Z ), Z, Y ), X ) ] )
% 276.66/277.12 , clause( 139696, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 276.66/277.12 , clause( 139697, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 276.66/277.12 , clause( 139698, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ] )
% 276.66/277.12 , clause( 139699, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 276.66/277.12 , clause( 139700, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 276.66/277.12 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 276.66/277.12 , clause( 139701, [ ~(
% 276.66/277.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ] )
% 276.66/277.12 , clause( 139702, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 276.66/277.12 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 276.66/277.12 , clause( 139703, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 276.66/277.12 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 276.66/277.12 , clause( 139704, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP(
% 276.66/277.12 X, U ), W ) ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T
% 276.66/277.12 ), 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 276.66/277.12 , clause( 139705, [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T
% 276.66/277.12 ), 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z,
% 276.66/277.12 U, T ) ) ] )
% 276.66/277.12 , clause( 139706, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 276.66/277.12 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 276.66/277.12 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139707, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 276.66/277.12 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139708, [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 276.66/277.12 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 276.66/277.12 'tc_Lambda_OdB' ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP(
% 276.66/277.12 hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 276.66/277.12 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 276.66/277.12 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139709, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 X, Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 276.66/277.12 , clause( 139710, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 X, Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 276.66/277.12 , clause( 139711, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 276.66/277.12 Y, X ) ) ] )
% 276.66/277.12 , clause( 139712, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 276.66/277.12 Y, X ) ) ] )
% 276.66/277.12 , clause( 139713, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 276.66/277.12 Y, X ) ) ] )
% 276.66/277.12 , clause( 139714, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 276.66/277.12 , clause( 139715, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( X, Z ), U ) ) ) ] )
% 276.66/277.12 , clause( 139716, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 276.66/277.12 Y, X ) ) ] )
% 276.66/277.12 , clause( 139717, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y
% 276.66/277.12 ) ) ) ] )
% 276.66/277.12 , clause( 139718, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 276.66/277.12 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 276.66/277.12 , clause( 139719, [ 'c_Type_Otypings'( X, Y,
% 276.66/277.12 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, T, Y ) ), ~(
% 276.66/277.12 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139720, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139721, [ 'c_Type_Otypings'( X, Y,
% 276.66/277.12 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, T, Y ) ), ~(
% 276.66/277.12 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139722, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U
% 276.66/277.12 ) ), ~( 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139723, [ ~( 'c_HOL_Oord__class_Oless'(
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 276.66/277.12 'tc_nat' ), 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139724, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 276.66/277.12 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139725, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 276.66/277.12 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 276.66/277.12 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139726, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 276.66/277.12 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 276.66/277.12 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 276.66/277.12 , clause( 139727, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 276.66/277.12 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139728, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 276.66/277.12 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), 'c_List_Ofoldr'(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 276.66/277.12 ) ) ] )
% 276.66/277.12 , clause( 139729, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 276.66/277.12 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 276.66/277.12 , clause( 139730, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 276.66/277.12 , clause( 139731, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 276.66/277.12 , clause( 139732, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139733, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 276.66/277.12 , clause( 139734, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 276.66/277.12 ), =( Z, Y ) ] )
% 276.66/277.12 , clause( 139735, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 276.66/277.12 , clause( 139736, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), =( Z, Y ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139737, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 276.66/277.12 , clause( 139738, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139739, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 276.66/277.12 ), =( Z, Y ) ] )
% 276.66/277.12 , clause( 139740, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 276.66/277.12 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139741, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 276.66/277.12 , clause( 139742, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 276.66/277.12 , clause( 139743, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 276.66/277.12 , clause( 139744, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139745, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139746, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 276.66/277.12 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139747, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y
% 276.66/277.12 ) ) ), =( X, Y ) ] )
% 276.66/277.12 , clause( 139748, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 276.66/277.12 , clause( 139749, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 276.66/277.12 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ) ) ) ) ] )
% 276.66/277.12 , clause( 139750, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 276.66/277.12 , clause( 139751, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y
% 276.66/277.12 ) ) ) ] )
% 276.66/277.12 , clause( 139752, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 276.66/277.12 , clause( 139753, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139754, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 276.66/277.12 , Y ), Z ), Z ) ) ] )
% 276.66/277.12 , clause( 139755, [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____'
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139756, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 276.66/277.12 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 276.66/277.12 ), Y ) ) ) ] )
% 276.66/277.12 , clause( 139757, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 276.66/277.12 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) )
% 276.66/277.12 , ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 276.66/277.12 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 276.66/277.12 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 276.66/277.12 , clause( 139758, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 276.66/277.12 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 276.66/277.12 , clause( 139759, [ ~( 'class_Orderings_Oorder'( X ) ),
% 276.66/277.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 276.66/277.12 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 276.66/277.12 , clause( 139760, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 276.66/277.12 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139761, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139762, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 276.66/277.12 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139763, [ 'c_Type_Otypings'( X, Y,
% 276.66/277.12 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, T, Y ) ), ~(
% 276.66/277.12 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139764, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 276.66/277.12 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139765, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 276.66/277.12 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 276.66/277.12 , clause( 139766, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 276.66/277.12 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP(
% 276.66/277.12 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 276.66/277.12 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 276.66/277.12 ) ) ) ] )
% 276.66/277.12 , clause( 139767, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 276.66/277.12 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139768, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 276.66/277.12 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 276.66/277.12 , clause( 139769, [ 'c_Type_Otypings'( X, Y,
% 276.66/277.12 'c_Type_Osko__Type__Xvar__app__types__1__1'( Z, T, X, Y ) ), ~(
% 276.66/277.12 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ) ),
% 276.66/277.12 ~( 'c_Type_Otypings'( X, W, V0 ) ), ~( 'c_Type_Otyping'( X,
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139770, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'(
% 276.66/277.12 X ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 276.66/277.12 , clause( 139771, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____',
% 276.66/277.12 'v_as____', 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139772, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 276.66/277.12 , clause( 139773, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 276.66/277.12 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139774, [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 276.66/277.12 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 276.66/277.12 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139775, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 276.66/277.12 , clause( 139776, [ =( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 276.66/277.12 , clause( 139777, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 276.66/277.12 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 276.66/277.12 , clause( 139778, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 276.66/277.12 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 276.66/277.12 , clause( 139779, [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun'
% 276.66/277.12 , 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 276.66/277.12 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139780, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 'c_InductTermi_OIT', X ) ) ) ] )
% 276.66/277.12 , clause( 139781, [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 276.66/277.12 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X,
% 276.66/277.12 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139782, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'(
% 276.66/277.12 X, Y ) ), 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139783, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 276.66/277.12 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 276.66/277.12 ) ) ] )
% 276.66/277.12 , clause( 139784, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T
% 276.66/277.12 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 276.66/277.12 , clause( 139785, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 276.66/277.12 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139786, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 276.66/277.12 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139787, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 276.66/277.12 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 276.66/277.12 ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139788, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 276.66/277.12 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139789, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 276.66/277.12 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 276.66/277.12 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 276.66/277.12 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139790, [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun',
% 276.66/277.12 'v_T_H_H____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____',
% 276.66/277.12 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ] )
% 276.66/277.12 , clause( 139791, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 276.66/277.12 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 276.66/277.12 , clause( 139792, [ 'c_Type_Otyping'( X, Y,
% 276.66/277.12 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, T, Y ) ), ~(
% 276.66/277.12 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T ), Y ), Z ) ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139793, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( Y ),
% 276.66/277.12 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139794, [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~(
% 276.66/277.12 'c_Type_Otypings'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 276.66/277.12 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T, 'tc_Type_Otype',
% 276.66/277.12 'tc_Type_Otype' ) ) ) ] )
% 276.66/277.12 , clause( 139795, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 276.66/277.12 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 276.66/277.12 , clause( 139796, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ),
% 276.66/277.12 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 276.66/277.12 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, Y, T ), Z,
% 276.66/277.12 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139797, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 276.66/277.12 , 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X
% 276.66/277.12 , 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139798, [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 276.66/277.12 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X,
% 276.66/277.12 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ), Z ) ) ] )
% 276.66/277.12 , clause( 139799, [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____',
% 276.66/277.12 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ] )
% 276.66/277.12 , clause( 139800, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 276.66/277.12 , 'v_T____', 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'(
% 276.66/277.12 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 276.66/277.12 'tc_Type_Otype' ) ) ] )
% 276.66/277.12 , clause( 139801, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 276.66/277.12 , 'v_T____', 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP(
% 276.66/277.12 hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 276.66/277.12 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 276.66/277.12 'tc_Type_Otype' ) ) ) ] )
% 276.66/277.12 , clause( 139802, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 276.66/277.12 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 276.66/277.12 , Y ), T ) ) ) ] )
% 276.66/277.12 , clause( 139803, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______',
% 276.66/277.12 'v_ia______', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ] )
% 276.66/277.12 , clause( 139804, [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 276.66/277.12 ), Y ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) )
% 276.66/277.12 , 'c_Lambda_Olift'( Y, Z ) ) ) ] )
% 276.66/277.12 , clause( 139805, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 276.66/277.12 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 276.66/277.12 ), T ) ) ) ] )
% 276.66/277.12 , clause( 139806, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 276.66/277.12 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 276.66/277.12 ), T ) ) ) ] )
% 276.66/277.12 , clause( 139807, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'(
% 276.66/277.12 X ) ) ) ] )
% 276.66/277.12 , clause( 139808, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP(
% 276.66/277.12 hAPP( 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'(
% 276.66/277.12 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 276.66/277.12 'tc_Type_Otype' ), Y, T ) ) ] )
% 276.66/277.12 , clause( 139809, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 276.66/277.12 , clause( 139810, [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ),
% 276.66/277.12 Y ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) )
% 276.66/277.12 ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 276.66/277.12 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype'
% 276.66/277.12 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ] )
% 276.66/277.12 , clause( 139811, [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ),
% 276.66/277.12 Y ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) )
% 276.66/277.12 ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 276.66/277.12 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype'
% 276.66/277.12 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ] )
% 276.66/277.12 , clause( 139812, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X,
% 276.66/277.12 Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 276.66/277.12 , clause( 139813, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139814, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 276.66/277.12 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 276.66/277.12 , clause( 139815, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139816, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'(
% 276.66/277.12 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 276.66/277.12 , clause( 139817, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 276.66/277.12 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ),
% 276.66/277.12 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 276.66/277.12 ), Z ) ) ) ] )
% 276.66/277.12 , clause( 139818, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ), X ) ) ] )
% 276.66/277.12 , clause( 139819, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 276.66/277.12 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 276.66/277.12 , clause( 139820, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 276.66/277.12 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 276.66/277.12 , clause( 139821, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 276.66/277.12 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 276.66/277.12 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 276.66/277.12 'tc_Lambda_OdB' ) ) ] )
% 276.66/277.12 , clause( 139822, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y
% 276.66/277.12 ), Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y
% 276.66/277.12 , hAPP( hAPP( 'c_Type_Otype_OFun', U ), T ) ) ) ] )
% 276.66/277.12 , clause( 139823, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 276.66/277.12 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 276.66/277.12 , clause( 139824, [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 276.66/277.12 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 276.66/277.12 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 276.66/277.12 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 276.66/277.12 , Y ) ) ] )
% 276.66/277.12 , clause( 139825, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 276.66/277.12 , 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 276.66/277.12 'tc_nat' ) ) ] )
% 276.66/277.12 , clause( 139826, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X
% 276.66/277.12 , 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 276.66/277.12 , X ) ) ) ] )
% 276.66/277.12 , clause( 139827, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP(
% 276.66/277.12 hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ] )
% 276.66/277.12 , clause( 139828, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP(
% 276.66/277.12 hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ] )
% 276.66/277.12 , clause( 139829, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 276.66/277.12 , clause( 139830, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 276.66/277.12 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 276.66/277.12 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 276.66/277.12 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 276.66/277.12 , clause( 139831, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y
% 276.66/277.12 ) ) ), =( X, Y ) ] )
% 276.66/277.12 , clause( 139832, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 276.66/277.12 'tc_Type_Otype' ), 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X
% 276.66/277.12 , T, U ) ) ] )
% 276.66/277.12 , clause( 139833, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139834, [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 276.66/277.12 X ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X,
% 276.66/277.12 Z, T ) ), 'c_Lambda_Osubst'( Y, Z, T ) ) ) ] )
% 276.66/277.12 , clause( 139835, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 276.66/277.12 , clause( 139836, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X )
% 276.66/277.12 , Y ) ] )
% 276.66/277.12 , clause( 139837, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 276.66/277.12 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 276.66/277.12 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 276.66/277.12 'tc_Type_Otype' ) ) ) ] )
% 276.66/277.12 , clause( 139838, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 276.66/277.12 , 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 276.66/277.12 , clause( 139839, [ =( 'v_n____', 'v_i____' ) ] )
% 276.66/277.12 , clause( 139840, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 276.66/277.12 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 276.66/277.12 , clause( 139841, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'(
% 276.66/277.12 X, Y, Z ) ), 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 276.66/277.12 'c_Lambda_Obeta', X ), T ) ) ) ] )
% 276.66/277.12 , clause( 139842, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X
% 276.66/277.12 , Y ) ) ] )
% 276.66/277.12 , clause( 139843, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ] )
% 276.66/277.12 , clause( 139844, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y )
% 276.66/277.12 , X ) ] )
% 276.66/277.12 , clause( 139845, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 276.66/277.12 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 276.66/277.12 X, 'c_Lambda_Osubst'( U, Y, T ), W ) ] )
% 276.66/277.12 , clause( 139846, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139847, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 276.66/277.12 , 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 276.66/277.12 , clause( 139848, [ ~( 'c_Type_Otyping'( 'v_e____', 'c_Lambda_Osubst'(
% 276.66/277.12 'v_a____', 'v_u____', 'v_i____' ), 'v_T_H_H____' ) ) ] )
% 276.66/277.12 , clause( 139849, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 276.66/277.12 'class_Orderings_Opreorder'( Y ) ) ] )
% 276.66/277.12 , clause( 139850, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 276.66/277.12 'class_Orderings_Oorder'( Y ) ) ] )
% 276.66/277.12 , clause( 139851, [
% 276.66/277.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139852, [
% 276.66/277.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139853, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 276.66/277.12 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139854, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 276.66/277.12 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139855, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 276.66/277.12 ) ] )
% 276.66/277.12 , clause( 139856, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139857, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 276.66/277.12 ] )
% 276.66/277.12 , clause( 139858, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139859, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 276.66/277.12 )
% 276.66/277.12 , clause( 139860, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139861, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139862, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139863, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139864, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139865, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139866, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 276.66/277.12 , clause( 139867, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 276.66/277.12 , clause( 139868, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 276.66/277.12 , clause( 139869, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 276.66/277.12 , clause( 139870, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ),
% 276.66/277.12 Y ) ) ) ] )
% 276.66/277.12 ] ).
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 subsumption(
% 276.66/277.12 clause( 71, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 276.66/277.12 , clause( 139672, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 276.66/277.12 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 276.66/277.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 276.66/277.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 subsumption(
% 276.66/277.12 clause( 210, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 276.66/277.12 , clause( 139833, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 276.66/277.12 )
% 276.66/277.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 276.66/277.12
% 276.66/277.12
% 276.66/277.12 subsumption(
% 276.66/277.12 clause( 213, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 276.66/277.12 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 276.66/277.12 , clause( 139838, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 276.66/277.12 , 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 276.66/277.12 , substitutCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------