TSTP Solution File: LCL835-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL835-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:58:37 EDT 2022
% Result : Timeout 300.06s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL835-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 3 03:29:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.95/1.34 *** allocated 10000 integers for termspace/termends
% 0.95/1.34 *** allocated 10000 integers for clauses
% 0.95/1.34 *** allocated 10000 integers for justifications
% 0.95/1.34 Bliksem 1.12
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34 Automatic Strategy Selection
% 0.95/1.34
% 0.95/1.34 Clauses:
% 0.95/1.34 [
% 0.95/1.34 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.95/1.34 Y, T, Z ), Z ) ) ],
% 0.95/1.34 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.95/1.34 T, Y, Z ), Z ) ) ],
% 0.95/1.34 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.95/1.34 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.95/1.34 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.34 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.95/1.34 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.34 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.95/1.34 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.95/1.34 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.95/1.34 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.95/1.34 hAPP( X, T ) ) ],
% 0.95/1.34 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.95/1.34 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.95/1.34 'c_List_Olist_ONil'( Z ) ) ],
% 0.95/1.34 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.95/1.34 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.95/1.34 Y ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.95/1.34 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.95/1.34 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.95/1.34 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.95/1.34 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.95/1.34 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.95/1.34 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.95/1.34 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.34 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.34 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.95/1.34 , X ), Z, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.95/1.34 , X ), Z, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.95/1.34 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.95/1.34 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.95/1.34 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.95/1.34 ), Z ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.95/1.34 ), Z ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.95/1.34 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.95/1.34 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.95/1.34 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.95/1.34 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.95/1.34 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.34 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.95/1.34 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.95/1.34 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.95/1.34 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.95/1.34 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.95/1.34 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.95/1.34 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.95/1.34 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.95/1.34 , V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 T, X, U, W, Y, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 T, X, U, Y, W, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.95/1.34 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.95/1.34 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.95/1.34 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.95/1.34 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.95/1.34 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), T ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), T ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.34 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.95/1.34 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.95/1.34 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.95/1.34 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.95/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.95/1.34 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.95/1.34 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 Z, X, 'tc_nat' ) ],
% 0.95/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.95/1.34 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.95/1.34 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.95/1.34 hAPP( Z, T ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.95/1.34 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.95/1.34 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.95/1.34 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.95/1.34 ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.95/1.34 =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.95/1.34 =( Y, T ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.34 T, X ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.95/1.34 ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.95/1.34 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.95/1.34 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.95/1.34 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.95/1.34 , T ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.95/1.34 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.95/1.34 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.95/1.34 ), Z ), U ) ) ) ],
% 0.95/1.34 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.95/1.34 'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.95/1.34 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.95/1.34 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.95/1.34 ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.95/1.34 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.95/1.34 Y ) ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.95/1.34 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.95/1.34 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.95/1.34 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.95/1.34 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 X, T, 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.95/1.34 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.95/1.34 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.95/1.34 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.95/1.34 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.95/1.34 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.95/1.34 , 'c_List_Olist_ONil'( T ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.95/1.34 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.95/1.34 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.95/1.34 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.95/1.34 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.95/1.34 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.95/1.34 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.95/1.34 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.95/1.34 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.95/1.34 'tc_nat' ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.95/1.34 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.95/1.34 , 'c_List_Olist_ONil'( X ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.95/1.34 , 'c_List_Olist_ONil'( X ) ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.95/1.34 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.95/1.34 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.95/1.34 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.95/1.34 ) ],
% 0.95/1.34 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.95/1.34 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.95/1.34 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.95/1.34 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.95/1.34 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.95/1.34 hAPP( X, T ) ) ],
% 0.95/1.34 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.95/1.34 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ) ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.34 , X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.34 , Y, X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.34 , Y, X ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.95/1.34 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.95/1.34 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.95/1.34 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.95/1.34 , V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 X, T, U, Y, W, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.95/1.34 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.95/1.34 , V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.95/1.34 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.95/1.34 , V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.95/1.34 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.95/1.34 W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.95/1.34 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.95/1.34 W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.95/1.34 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.95/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.95/1.34 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.95/1.34 W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.95/1.34 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.95/1.34 , V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.95/1.34 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.95/1.34 W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.95/1.34 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.95/1.34 , V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.95/1.34 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 0.95/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.95/1.34 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 0.95/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.95/1.34 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.95/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 T, X, U, W, Z, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 T, X, U, W, Y, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 T, X, U, Z, W, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 T, X, U, Y, W, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.95/1.34 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 X, T, U, Z, W, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.95/1.34 X, T, U, Y, W, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 0.95/1.34 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 0.95/1.34 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.95/1.34 , V0, U, V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 0.95/1.34 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.95/1.34 , V0, U, V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.95/1.34 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.95/1.34 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.95/1.34 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.95/1.34 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.95/1.34 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.95/1.34 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.95/1.34 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.95/1.34 Z, Y, X ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.95/1.34 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.95/1.34 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.95/1.34 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.95/1.34 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.95/1.34 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.95/1.34 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.95/1.34 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.95/1.34 'c_Type_Otypings'( X, T, U ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.95/1.34 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.95/1.34 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.95/1.34 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.95/1.34 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.95/1.34 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.95/1.34 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.95/1.34 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.95/1.34 ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.95/1.34 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.95/1.34 ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.95/1.34 ), Z, X ) ) ],
% 0.95/1.34 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.95/1.34 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.95/1.34 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.95/1.34 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.95/1.34 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.95/1.34 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.95/1.34 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.95/1.34 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.95/1.34 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.95/1.34 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.95/1.34 , Y ) ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.95/1.34 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.95/1.34 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.95/1.34 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.95/1.34 X, T ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.95/1.34 X, T ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.95/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.95/1.34 , 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.95/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.95/1.34 , 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.95/1.34 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.95/1.34 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.95/1.34 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.95/1.34 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.95/1.34 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.95/1.34 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.95/1.34 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.95/1.34 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.34 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.95/1.34 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.95/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.34 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.95/1.34 Y ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.95/1.34 X ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.34 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.95/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.95/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.34 ), 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.34 ), 'tc_nat' ) ) ],
% 0.95/1.34 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.95/1.34 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.95/1.34 ), Z ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.95/1.34 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.95/1.34 ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.95/1.34 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.95/1.34 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.95/1.34 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.95/1.34 ), U ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.34 ), =( Z, Y ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.95/1.34 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.95/1.34 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.95/1.34 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.34 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.34 T, X ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.95/1.34 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.95/1.34 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.95/1.34 ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.95/1.34 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 0.95/1.34 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0,
% 0.95/1.34 V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 0.95/1.34 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0,
% 0.95/1.34 V1 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.95/1.34 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.95/1.34 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.95/1.34 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.34 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.34 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.95/1.34 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.95/1.34 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.95/1.34 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.95/1.34 ), W ), W ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.34 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.95/1.34 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.95/1.34 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.95/1.34 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.95/1.34 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.95/1.34 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.95/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.95/1.34 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.95/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.95/1.34 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.95/1.34 , Y ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.34 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.95/1.34 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.95/1.34 'tc_nat' ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.95/1.34 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.95/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.95/1.34 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.95/1.34 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.34 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 'c_InductTermi_OIT', X ) ) ) ],
% 0.95/1.34 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.95/1.34 ), X ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.95/1.34 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.95/1.34 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.95/1.34 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.34 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.95/1.34 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.95/1.34 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.95/1.34 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.95/1.34 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.95/1.34 ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.95/1.34 , Z ), Y ), 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.95/1.34 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.95/1.34 ) ), =( X, T ) ],
% 0.95/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.95/1.34 ) ), =( Y, U ) ],
% 0.95/1.34 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.95/1.34 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.95/1.34 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.95/1.34 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.95/1.34 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.95/1.34 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.95/1.34 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.95/1.34 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.95/1.34 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.95/1.34 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.95/1.34 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.95/1.34 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.95/1.34 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.95/1.34 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.95/1.34 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.95/1.34 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.95/1.34 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.95/1.34 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.95/1.34 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.95/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.95/1.34 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.95/1.34 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.95/1.34 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.95/1.34 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.95/1.34 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.95/1.34 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.95/1.34 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.95/1.34 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.95/1.34 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.34 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.34 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.95/1.34 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.34 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.95/1.34 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.95/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.34 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.95/1.34 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.95/1.34 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 0.95/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.95/1.34 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.95/1.34 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.95/1.34 ) ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.95/1.34 Z ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.95/1.34 Z ) ) ) ],
% 0.95/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.95/1.34 Z, U ), W ) ) ) ],
% 0.95/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.95/1.34 Z, U ), W ) ) ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.95/1.34 Z ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.95/1.34 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.95/1.34 ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.95/1.34 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.95/1.34 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.95/1.34 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.95/1.34 , Z, U, W ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.95/1.34 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.95/1.34 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.95/1.34 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.95/1.34 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.95/1.34 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.95/1.34 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.95/1.34 Z ) ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.34 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.95/1.34 ), Z ) ) ],
% 0.95/1.34 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.95/1.34 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ), 'c_Wellfounded_Oaccp'(
% 0.95/1.34 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.95/1.34 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.95/1.34 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.95/1.34 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.95/1.34 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.95/1.34 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.95/1.34 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.95/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.95/1.34 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.95/1.34 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.95/1.34 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.95/1.34 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.95/1.34 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.95/1.34 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.95/1.34 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.95/1.34 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.95/1.34 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.95/1.34 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.95/1.34 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.34 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.95/1.34 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.95/1.34 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.95/1.34 X, U ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.95/1.34 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.95/1.34 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.95/1.34 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.95/1.34 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.95/1.34 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.95/1.34 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.95/1.34 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.95/1.34 , 'tc_Lambda_OdB' ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.95/1.34 ), X ), Y ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.95/1.34 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.95/1.34 X ), Y ) ), Z ), Y ), X ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.95/1.34 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.95/1.34 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.95/1.34 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.95/1.34 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.95/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.95/1.34 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.95/1.34 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.95/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.95/1.34 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.95/1.34 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.95/1.34 , Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.95/1.34 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.95/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.95/1.34 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.95/1.34 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.95/1.34 , Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), 'c_Type_Osko__Type__Xabs__typeE__1__1'( X, Y ),
% 0.95/1.34 'tc_Type_Otype' ), Y, 'c_Type_Osko__Type__Xabs__typeE__1__2'( X, Y ) ),
% 0.95/1.34 ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ),
% 0.95/1.34 'tc_Type_Otype' ), Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z
% 0.95/1.34 ) ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ],
% 0.95/1.34 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.95/1.34 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_a____' ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.95/1.34 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.95/1.34 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.95/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.95/1.34 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.95/1.34 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.95/1.34 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.95/1.34 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.95/1.34 ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.34 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.34 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.95/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.95/1.34 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.34 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.95/1.34 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.34 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.95/1.34 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.95/1.34 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.95/1.34 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.95/1.34 ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.95/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.95/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.95/1.34 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.95/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.95/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.95/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.95/1.34 ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.95/1.34 , Y ) ],
% 0.95/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.95/1.34 , Y ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.95/1.34 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.95/1.34 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.95/1.34 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.95/1.34 , Y ), Z ) ) ],
% 0.95/1.34 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.95/1.34 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.95/1.34 'c_Suc'( Y ), Z, T ) ) ],
% 0.95/1.34 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.95/1.34 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.95/1.34 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 0.95/1.34 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.95/1.34 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.95/1.34 ) ) ) ],
% 0.95/1.34 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.95/1.34 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.95/1.34 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 0.95/1.34 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.95/1.34 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.95/1.34 ) ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.95/1.34 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____'
% 0.95/1.34 ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), X ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.34 , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ),
% 0.95/1.34 ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'(
% 0.95/1.34 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.95/1.34 ,
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ) ) ) ],
% 0.95/1.34 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.95/1.34 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ), Y )
% 0.95/1.34 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( hBOOL( hAPP(
% 0.95/1.34 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y
% 0.95/1.34 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.95/1.34 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), T ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.95/1.34 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ),
% 0.95/1.34 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.95/1.34 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.95/1.34 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.95/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.95/1.34 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.95/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.95/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.95/1.34 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.95/1.34 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.95/1.34 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.95/1.34 'v_r____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.95/1.34 ) ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.95/1.34 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.34 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.95/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.95/1.34 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.95/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ),
% 0.95/1.34 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.95/1.34 [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____'
% 0.95/1.34 , 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.95/1.34 hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.95/1.34 'tc_Lambda_OdB' ), 'v_T_H____' ) ) ],
% 0.95/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.95/1.34 ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.95/1.34 ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.95/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.95/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.95/1.34 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.95/1.34 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.95/1.34 ] .
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34 percentage equality = 0.395592, percentage horn = 0.917431
% 0.95/1.34 This is a problem with some equality
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34
% 0.95/1.34 Options Used:
% 0.95/1.34
% 0.95/1.34 useres = 1
% 0.95/1.34 useparamod = 1
% 0.95/1.34 useeqrefl = 1
% 0.95/1.34 useeqfact = 1
% 0.95/1.34 usefactor = 1
% 0.95/1.34 usesimpsplitting = 0
% 0.95/1.34 usesimpdemod = 5
% 0.95/1.34 usesimpres = 3
% 0.95/1.34
% 0.95/1.34 resimpinuse = 1000
% 0.95/1.34 resimpclauses = 20000
% 0.95/1.34 substype = eqrewr
% 0.95/1.34 backwardsubs = 1
% 0.95/1.34 selectoldest = 5
% 0.95/1.34
% 0.95/1.34 litorderings [0] = split
% 0.95/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.34
% 0.95/1.34 termordering = kbo
% 0.95/1.34
% 0.95/1.34 litapriori = 0
% 0.95/1.34 termapriori = 1
% 0.95/1.34 litaposteriori = 0
% 0.95/1.34 termaposteriori = 0
% 0.95/1.34 demodaposteriori = 0
% 0.95/1.34 ordereqreflfact = 0
% 0.95/1.34
% 0.95/1.34 litselect = negord
% 0.95/1.34
% 0.95/1.34 maxweight = 15
% 0.95/1.34 maxdepth = 30000
% 0.95/1.34 maxlength = 115
% 0.95/1.34 maxnrvars = 195
% 0.95/1.34 excuselevel = 1
% 0.95/1.34 increasemaxweight = 1
% 0.95/1.34
% 0.95/1.34 maxselected = 10000000
% 0.95/1.34 maxnrclauses = 10000000
% 0.95/1.34
% 0.95/1.34 showgenerated = 0
% 0.95/1.34 showkept = 0
% 0.95/1.34 showselected = 0
% 0.95/1.34 showdeleted = 0
% 0.95/1.34 showresimp = 1
% 0.95/1.34 showstatus = 2000
% 0.95/1.34
% 0.95/1.34 prologoutput = 1
% 0.95/1.34 nrgoals = 5000000
% 0.95/1.34 totalproof = 1
% 0.95/1.34
% 0.95/1.34 Symbols occurring in the translation:
% 0.95/1.34
% 0.95/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.34 . [1, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.95/1.34 ! [4, 1] (w:0, o:119, a:1, s:1, b:0),
% 0.95/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.34 'c_List_Olistsp' [42, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Oappend' [44, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Olist_ONil' [45, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.95/1.34 'c_InductTermi_OIT' [46, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.95/1.34 'c_Lambda_OdB_OApp' [47, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.95/1.34 'c_Lambda_OdB_OVar' [49, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.95/1.34 'tc_Lambda_OdB' [51, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Ofoldl' [52, 5] (w:1, o:219, a:1, s:1, b:0),
% 0.95/1.34 hAPP [53, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.95/1.34 hBOOL [54, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.95/1.34 'class_Ring__and__Field_Ocomm__semiring__1' [55, 1] (w:1, o:127, a:1
% 0.95/1.34 , s:1, b:0),
% 0.95/1.34 'c_HOL_Oplus__class_Oplus' [56, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.95/1.34 'tc_nat' [61, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.95/1.34 'c_HOL_Ozero__class_Ozero' [62, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.95/1.34 'c_HOL_Oord__class_Oless' [63, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.95/1.34 'c_Predicate_Oconversep' [67, 3] (w:1, o:199, a:1, s:1, b:0),
% 0.95/1.34 'c_Suc' [70, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Oreplicate' [72, 3] (w:1, o:200, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Olist_OCons' [73, 3] (w:1, o:201, a:1, s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Oab__group__add' [74, 1] (w:1, o:132, a:1, s:1
% 0.95/1.34 , b:0),
% 0.95/1.34 'c_Lambda_OdB_OdB__case' [82, 5] (w:1, o:220, a:1, s:1, b:0),
% 0.95/1.34 'c_COMBC' [86, 5] (w:1, o:221, a:1, s:1, b:0),
% 0.95/1.34 'c_Lambda_Osubst' [88, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Ofoldr' [91, 5] (w:1, o:222, a:1, s:1, b:0),
% 0.95/1.34 'c_List_Omap' [92, 4] (w:1, o:210, a:1, s:1, b:0),
% 0.95/1.34 'c_Transitive__Closure_Ortranclp' [93, 2] (w:1, o:187, a:1, s:1, b:0)
% 0.95/1.34 ,
% 0.95/1.34 'c_ListOrder_Ostep1' [94, 4] (w:1, o:211, a:1, s:1, b:0),
% 0.95/1.34 'class_Orderings_Olinorder' [95, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.95/1.34 'c_Orderings_Oord__class_Omax' [96, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Omonoid__add' [97, 1] (w:1, o:135, a:1, s:1, b:0)
% 0.95/1.34 ,
% 0.95/1.34 'c_List_Olistsum' [98, 2] (w:1, o:188, a:1, s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Opordered__comm__monoid__add' [99, 1] (w:1, o:136
% 0.95/1.34 , a:1, s:1, b:0),
% 0.95/1.34 'c_Lambda_Obeta' [102, 0] (w:1, o:80, a:1, s:1, b:0),
% 0.95/1.34 'class_Ring__and__Field_Oidom' [108, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.95/1.34
% 0.95/1.34 'class_Int_Onumber__ring' [109, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add' [110, 1] (w:1, o:139
% 0.95/1.34 , a:1, s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Ocancel__semigroup__add' [111, 1] (w:1, o:140, a:
% 0.95/1.34 1, s:1, b:0),
% 0.95/1.34 'c_Groebner__Basis_Ogb__semiring' [121, 6] (w:1, o:224, a:1, s:1, b:0
% 0.95/1.34 ),
% 0.95/1.34 'c_Lambda_Olift' [122, 0] (w:1, o:84, a:1, s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Oab__semigroup__add' [124, 1] (w:1, o:141, a:1
% 0.95/1.34 , s:1, b:0),
% 0.95/1.34 'class_OrderedGroup_Ocomm__monoid__add' [125, 1] (w:1, o:142, a:1, s:
% 0.95/1.34 1, b:0),
% 0.95/1.34 'class_Orderings_Oorder' [126, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.95/1.34 'class_Orderings_Opreorder' [127, 1] (w:1, o:144, a:1, s:1, b:0),
% 5.61/5.97 'v_ua______' [130, 0] (w:1, o:87, a:1, s:1, b:0),
% 5.61/5.97 'c_Lambda_OdB_OAbs' [131, 1] (w:1, o:145, a:1, s:1, b:0),
% 5.61/5.97 'c_Wellfounded_Oaccp' [134, 3] (w:1, o:202, a:1, s:1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Osemiring__0' [135, 1] (w:1, o:147, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'class_Power_Opower' [136, 1] (w:1, o:151, a:1, s:1, b:0),
% 5.61/5.97 'c_Power_Opower__class_Opower' [137, 3] (w:1, o:203, a:1, s:1, b:0),
% 5.61/5.97
% 5.61/5.97 'class_Nat_Osemiring__char__0' [140, 1] (w:1, o:131, a:1, s:1, b:0),
% 5.61/5.97
% 5.61/5.97 'c_Nat_Osemiring__1__class_Oof__nat' [141, 2] (w:1, o:189, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'c_Lambda_Oliftn' [143, 3] (w:1, o:204, a:1, s:1, b:0),
% 5.61/5.97 'class_OrderedGroup_Olordered__ab__group__add' [146, 1] (w:1, o:134
% 5.61/5.97 , a:1, s:1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Oordered__idom' [147, 1] (w:1, o:154, a:1, s:
% 5.61/5.97 1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Oordered__semidom' [148, 1] (w:1, o:155, a:1
% 5.61/5.97 , s:1, b:0),
% 5.61/5.97 'c_Lambda_Osubstn' [149, 3] (w:1, o:205, a:1, s:1, b:0),
% 5.61/5.97 'c_fequal' [150, 1] (w:1, o:156, a:1, s:1, b:0),
% 5.61/5.97 'c_Lambda_OdB_OdB__rec' [151, 5] (w:1, o:223, a:1, s:1, b:0),
% 5.61/5.97 'v_u____' [156, 0] (w:1, o:92, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Otyping' [159, 3] (w:1, o:208, a:1, s:1, b:0),
% 5.61/5.97 'tc_Type_Otype' [161, 0] (w:1, o:100, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Oshift' [162, 4] (w:1, o:212, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Otypings' [164, 3] (w:1, o:209, a:1, s:1, b:0),
% 5.61/5.97 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [165, 1]
% 5.61/5.97 (w:1, o:148, a:1, s:1, b:0),
% 5.61/5.97 'c_OrderedGroup_Omonoid__add' [168, 3] (w:1, o:198, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Otype_OFun' [169, 0] (w:1, o:102, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [170, 4] (w:1, o:213, a:
% 5.61/5.97 1, s:1, b:0),
% 5.61/5.97 'tc_fun' [171, 2] (w:1, o:190, a:1, s:1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Ozero__neq__one' [172, 1] (w:1, o:157, a:1
% 5.61/5.97 , s:1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Ono__zero__divisors' [173, 1] (w:1, o:153, a:
% 5.61/5.97 1, s:1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Omult__zero' [174, 1] (w:1, o:152, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'class_Ring__and__Field_Oring__1__no__zero__divisors' [175, 1] (w:1
% 5.61/5.97 , o:146, a:1, s:1, b:0),
% 5.61/5.97 'c_OrderedGroup_Osemigroup__add' [176, 2] (w:1, o:191, a:1, s:1, b:0)
% 5.61/5.97 ,
% 5.61/5.97 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [177, 1]
% 5.61/5.97 (w:1, o:149, a:1, s:1, b:0),
% 5.61/5.97 'class_OrderedGroup_Osemigroup__add' [178, 1] (w:1, o:150, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xvar__app__types__1__1' [179, 4] (w:1, o:214, a:1
% 5.61/5.97 , s:1, b:0),
% 5.61/5.97 't_a' [180, 0] (w:1, o:103, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xtyping__elims__3__1' [186, 3] (w:1, o:206, a:1
% 5.61/5.97 , s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xtyping__elims__3__2' [187, 3] (w:1, o:207, a:1
% 5.61/5.97 , s:1, b:0),
% 5.61/5.97 'class_Ring__and__Field_Osemiring__1' [189, 1] (w:1, o:158, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 5.61/5.97 196, 4] (w:1, o:215, a:1, s:1, b:0),
% 5.61/5.97 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [197, 1
% 5.61/5.97 ] (w:1, o:160, a:1, s:1, b:0),
% 5.61/5.97 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [198, 1
% 5.61/5.97 ] (w:1, o:159, a:1, s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xtyping__elims__2__1' [199, 4] (w:1, o:216, a:1
% 5.61/5.97 , s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [200, 4] (w:1, o:218, a:
% 5.61/5.97 1, s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [201, 4] (w:1, o:217, a:
% 5.61/5.97 1, s:1, b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xabs__typeE__1__1' [203, 2] (w:1, o:192, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'c_Type_Osko__Type__Xabs__typeE__1__2' [204, 2] (w:1, o:193, a:1, s:1
% 5.61/5.97 , b:0),
% 5.61/5.97 'v_ea______' [205, 0] (w:1, o:104, a:1, s:1, b:0),
% 5.61/5.97 'v_T____' [206, 0] (w:1, o:105, a:1, s:1, b:0),
% 5.61/5.97 'v_a____' [207, 0] (w:1, o:106, a:1, s:1, b:0),
% 5.61/5.97 'v_ia______' [211, 0] (w:1, o:107, a:1, s:1, b:0),
% 5.61/5.97 'v_r____' [212, 0] (w:1, o:108, a:1, s:1, b:0),
% 5.61/5.97 'v_as____' [213, 0] (w:1, o:109, a:1, s:1, b:0),
% 5.61/5.97 'v_T_Ha______' [214, 0] (w:1, o:110, a:1, s:1, b:0),
% 5.61/5.97 'v_e____' [215, 0] (w:1, o:111, a:1, s:1, b:0),
% 19.56/19.92 'v_i____' [217, 0] (w:1, o:112, a:1, s:1, b:0),
% 19.56/19.92 'v_T_H____' [218, 0] (w:1, o:113, a:1, s:1, b:0),
% 19.56/19.92 'tc_bool' [222, 0] (w:1, o:116, a:1, s:1, b:0).
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Starting Search:
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 6286
% 19.56/19.92 Kept: 2003
% 19.56/19.92 Inuse: 131
% 19.56/19.92 Deleted: 4
% 19.56/19.92 Deletedinuse: 0
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 15474
% 19.56/19.92 Kept: 4086
% 19.56/19.92 Inuse: 187
% 19.56/19.92 Deleted: 5
% 19.56/19.92 Deletedinuse: 1
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 27996
% 19.56/19.92 Kept: 6086
% 19.56/19.92 Inuse: 224
% 19.56/19.92 Deleted: 5
% 19.56/19.92 Deletedinuse: 1
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 38538
% 19.56/19.92 Kept: 8090
% 19.56/19.92 Inuse: 294
% 19.56/19.92 Deleted: 6
% 19.56/19.92 Deletedinuse: 1
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 46690
% 19.56/19.92 Kept: 10096
% 19.56/19.92 Inuse: 317
% 19.56/19.92 Deleted: 7
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 64676
% 19.56/19.92 Kept: 12523
% 19.56/19.92 Inuse: 340
% 19.56/19.92 Deleted: 8
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 78600
% 19.56/19.92 Kept: 14649
% 19.56/19.92 Inuse: 370
% 19.56/19.92 Deleted: 8
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 89160
% 19.56/19.92 Kept: 16822
% 19.56/19.92 Inuse: 400
% 19.56/19.92 Deleted: 8
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 107428
% 19.56/19.92 Kept: 19706
% 19.56/19.92 Inuse: 450
% 19.56/19.92 Deleted: 8
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying clauses:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 119443
% 19.56/19.92 Kept: 22052
% 19.56/19.92 Inuse: 470
% 19.56/19.92 Deleted: 183
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 130664
% 19.56/19.92 Kept: 24052
% 19.56/19.92 Inuse: 508
% 19.56/19.92 Deleted: 183
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 152389
% 19.56/19.92 Kept: 26562
% 19.56/19.92 Inuse: 520
% 19.56/19.92 Deleted: 183
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 164470
% 19.56/19.92 Kept: 28568
% 19.56/19.92 Inuse: 541
% 19.56/19.92 Deleted: 183
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 174298
% 19.56/19.92 Kept: 31444
% 19.56/19.92 Inuse: 550
% 19.56/19.92 Deleted: 183
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 185215
% 19.56/19.92 Kept: 33673
% 19.56/19.92 Inuse: 575
% 19.56/19.92 Deleted: 183
% 19.56/19.92 Deletedinuse: 2
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 200096
% 19.56/19.92 Kept: 36043
% 19.56/19.92 Inuse: 605
% 19.56/19.92 Deleted: 184
% 19.56/19.92 Deletedinuse: 3
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 209162
% 19.56/19.92 Kept: 38280
% 19.56/19.92 Inuse: 630
% 19.56/19.92 Deleted: 185
% 19.56/19.92 Deletedinuse: 4
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 222375
% 19.56/19.92 Kept: 41494
% 19.56/19.92 Inuse: 645
% 19.56/19.92 Deleted: 185
% 19.56/19.92 Deletedinuse: 4
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying clauses:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 233715
% 19.56/19.92 Kept: 43566
% 19.56/19.92 Inuse: 670
% 19.56/19.92 Deleted: 718
% 19.56/19.92 Deletedinuse: 4
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 244131
% 19.56/19.92 Kept: 45779
% 19.56/19.92 Inuse: 700
% 19.56/19.92 Deleted: 718
% 19.56/19.92 Deletedinuse: 4
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 255270
% 19.56/19.92 Kept: 47784
% 19.56/19.92 Inuse: 713
% 19.56/19.92 Deleted: 718
% 19.56/19.92 Deletedinuse: 4
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 265618
% 19.56/19.92 Kept: 49974
% 19.56/19.92 Inuse: 744
% 19.56/19.92 Deleted: 724
% 19.56/19.92 Deletedinuse: 4
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 276617
% 19.56/19.92 Kept: 52141
% 19.56/19.92 Inuse: 764
% 19.56/19.92 Deleted: 725
% 19.56/19.92 Deletedinuse: 5
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92 Resimplifying inuse:
% 19.56/19.92 Done
% 19.56/19.92
% 19.56/19.92
% 19.56/19.92 Intermediate Status:
% 19.56/19.92 Generated: 288021
% 19.56/19.92 Kept: 54151
% 19.56/19.92 Inuse: 775
% 19.56/19.92 Deleted: 725
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 298119
% 47.24/47.65 Kept: 56307
% 47.24/47.65 Inuse: 782
% 47.24/47.65 Deleted: 725
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 311158
% 47.24/47.65 Kept: 58308
% 47.24/47.65 Inuse: 812
% 47.24/47.65 Deleted: 725
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 327113
% 47.24/47.65 Kept: 61123
% 47.24/47.65 Inuse: 829
% 47.24/47.65 Deleted: 725
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying clauses:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 336614
% 47.24/47.65 Kept: 63132
% 47.24/47.65 Inuse: 839
% 47.24/47.65 Deleted: 937
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 349211
% 47.24/47.65 Kept: 65259
% 47.24/47.65 Inuse: 849
% 47.24/47.65 Deleted: 937
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 366915
% 47.24/47.65 Kept: 67467
% 47.24/47.65 Inuse: 869
% 47.24/47.65 Deleted: 937
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 388791
% 47.24/47.65 Kept: 69670
% 47.24/47.65 Inuse: 879
% 47.24/47.65 Deleted: 937
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 402307
% 47.24/47.65 Kept: 71828
% 47.24/47.65 Inuse: 904
% 47.24/47.65 Deleted: 937
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 414824
% 47.24/47.65 Kept: 74049
% 47.24/47.65 Inuse: 929
% 47.24/47.65 Deleted: 937
% 47.24/47.65 Deletedinuse: 5
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 454246
% 47.24/47.65 Kept: 78067
% 47.24/47.65 Inuse: 939
% 47.24/47.65 Deleted: 938
% 47.24/47.65 Deletedinuse: 6
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 465387
% 47.24/47.65 Kept: 80076
% 47.24/47.65 Inuse: 950
% 47.24/47.65 Deleted: 938
% 47.24/47.65 Deletedinuse: 6
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 476901
% 47.24/47.65 Kept: 82339
% 47.24/47.65 Inuse: 969
% 47.24/47.65 Deleted: 938
% 47.24/47.65 Deletedinuse: 6
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying clauses:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 491891
% 47.24/47.65 Kept: 85651
% 47.24/47.65 Inuse: 989
% 47.24/47.65 Deleted: 1103
% 47.24/47.65 Deletedinuse: 6
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 511038
% 47.24/47.65 Kept: 88802
% 47.24/47.65 Inuse: 999
% 47.24/47.65 Deleted: 1103
% 47.24/47.65 Deletedinuse: 6
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 521720
% 47.24/47.65 Kept: 92041
% 47.24/47.65 Inuse: 1000
% 47.24/47.65 Deleted: 1103
% 47.24/47.65 Deletedinuse: 6
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 535236
% 47.24/47.65 Kept: 94198
% 47.24/47.65 Inuse: 1004
% 47.24/47.65 Deleted: 1114
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 540357
% 47.24/47.65 Kept: 96305
% 47.24/47.65 Inuse: 1009
% 47.24/47.65 Deleted: 1134
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 554289
% 47.24/47.65 Kept: 98600
% 47.24/47.65 Inuse: 1012
% 47.24/47.65 Deleted: 1146
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 566373
% 47.24/47.65 Kept: 100609
% 47.24/47.65 Inuse: 1014
% 47.24/47.65 Deleted: 1154
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 580988
% 47.24/47.65 Kept: 102769
% 47.24/47.65 Inuse: 1020
% 47.24/47.65 Deleted: 1178
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying clauses:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 600016
% 47.24/47.65 Kept: 105205
% 47.24/47.65 Inuse: 1040
% 47.24/47.65 Deleted: 4539
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 639759
% 47.24/47.65 Kept: 109786
% 47.24/47.65 Inuse: 1065
% 47.24/47.65 Deleted: 4539
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 652844
% 47.24/47.65 Kept: 112326
% 47.24/47.65 Inuse: 1080
% 47.24/47.65 Deleted: 4539
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 47.24/47.65 Generated: 664699
% 47.24/47.65 Kept: 114454
% 47.24/47.65 Inuse: 1100
% 47.24/47.65 Deleted: 4539
% 47.24/47.65 Deletedinuse: 7
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65 Resimplifying inuse:
% 47.24/47.65 Done
% 47.24/47.65
% 47.24/47.65
% 47.24/47.65 Intermediate Status:
% 176.44/176.81 Generated: 678217
% 176.44/176.81 Kept: 116691
% 176.44/176.81 Inuse: 1115
% 176.44/176.81 Deleted: 4539
% 176.44/176.81 Deletedinuse: 7
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 691982
% 176.44/176.81 Kept: 118777
% 176.44/176.81 Inuse: 1130
% 176.44/176.81 Deleted: 4539
% 176.44/176.81 Deletedinuse: 7
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 704939
% 176.44/176.81 Kept: 121011
% 176.44/176.81 Inuse: 1140
% 176.44/176.81 Deleted: 4539
% 176.44/176.81 Deletedinuse: 7
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 720684
% 176.44/176.81 Kept: 123361
% 176.44/176.81 Inuse: 1150
% 176.44/176.81 Deleted: 4539
% 176.44/176.81 Deletedinuse: 7
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying clauses:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 733122
% 176.44/176.81 Kept: 125636
% 176.44/176.81 Inuse: 1160
% 176.44/176.81 Deleted: 4652
% 176.44/176.81 Deletedinuse: 7
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 746408
% 176.44/176.81 Kept: 127960
% 176.44/176.81 Inuse: 1180
% 176.44/176.81 Deleted: 4652
% 176.44/176.81 Deletedinuse: 7
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 760809
% 176.44/176.81 Kept: 130018
% 176.44/176.81 Inuse: 1195
% 176.44/176.81 Deleted: 4653
% 176.44/176.81 Deletedinuse: 8
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 771259
% 176.44/176.81 Kept: 132297
% 176.44/176.81 Inuse: 1201
% 176.44/176.81 Deleted: 4653
% 176.44/176.81 Deletedinuse: 8
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 779415
% 176.44/176.81 Kept: 134306
% 176.44/176.81 Inuse: 1213
% 176.44/176.81 Deleted: 4653
% 176.44/176.81 Deletedinuse: 8
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 788967
% 176.44/176.81 Kept: 136571
% 176.44/176.81 Inuse: 1230
% 176.44/176.81 Deleted: 4653
% 176.44/176.81 Deletedinuse: 8
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 807250
% 176.44/176.81 Kept: 140511
% 176.44/176.81 Inuse: 1250
% 176.44/176.81 Deleted: 4653
% 176.44/176.81 Deletedinuse: 8
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 815280
% 176.44/176.81 Kept: 142530
% 176.44/176.81 Inuse: 1266
% 176.44/176.81 Deleted: 4654
% 176.44/176.81 Deletedinuse: 9
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying clauses:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 833157
% 176.44/176.81 Kept: 145882
% 176.44/176.81 Inuse: 1285
% 176.44/176.81 Deleted: 4979
% 176.44/176.81 Deletedinuse: 9
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 848131
% 176.44/176.81 Kept: 147888
% 176.44/176.81 Inuse: 1299
% 176.44/176.81 Deleted: 4979
% 176.44/176.81 Deletedinuse: 9
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 871938
% 176.44/176.81 Kept: 150130
% 176.44/176.81 Inuse: 1310
% 176.44/176.81 Deleted: 4979
% 176.44/176.81 Deletedinuse: 9
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 899760
% 176.44/176.81 Kept: 153656
% 176.44/176.81 Inuse: 1320
% 176.44/176.81 Deleted: 4979
% 176.44/176.81 Deletedinuse: 9
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 918163
% 176.44/176.81 Kept: 155839
% 176.44/176.81 Inuse: 1324
% 176.44/176.81 Deleted: 4980
% 176.44/176.81 Deletedinuse: 9
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 939958
% 176.44/176.81 Kept: 158449
% 176.44/176.81 Inuse: 1334
% 176.44/176.81 Deleted: 4981
% 176.44/176.81 Deletedinuse: 10
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 952372
% 176.44/176.81 Kept: 160989
% 176.44/176.81 Inuse: 1340
% 176.44/176.81 Deleted: 4981
% 176.44/176.81 Deletedinuse: 10
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 966137
% 176.44/176.81 Kept: 163923
% 176.44/176.81 Inuse: 1359
% 176.44/176.81 Deleted: 4982
% 176.44/176.81 Deletedinuse: 11
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying clauses:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 975140
% 176.44/176.81 Kept: 165944
% 176.44/176.81 Inuse: 1370
% 176.44/176.81 Deleted: 5217
% 176.44/176.81 Deletedinuse: 11
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 998256
% 176.44/176.81 Kept: 169052
% 176.44/176.81 Inuse: 1379
% 176.44/176.81 Deleted: 5217
% 176.44/176.81 Deletedinuse: 11
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 1018036
% 176.44/176.81 Kept: 171923
% 176.44/176.81 Inuse: 1398
% 176.44/176.81 Deleted: 5218
% 176.44/176.81 Deletedinuse: 11
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 1043031
% 176.44/176.81 Kept: 174875
% 176.44/176.81 Inuse: 1408
% 176.44/176.81 Deleted: 5219
% 176.44/176.81 Deletedinuse: 12
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81 Resimplifying inuse:
% 176.44/176.81 Done
% 176.44/176.81
% 176.44/176.81
% 176.44/176.81 Intermediate Status:
% 176.44/176.81 Generated: 1063459
% 176.44/176.81 Kept: 176889
% 176.44/176.81 Inuse: 1415
% 176.44/176.81 Deleted: 5219
% 176.44/176.81 Deletedinuse: 12
% 300.06/300.43 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------