TSTP Solution File: LCL814-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL814-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:58:20 EDT 2022
% Result : Timeout 300.02s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL814-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jul 4 06:38:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.92/1.32 *** allocated 10000 integers for termspace/termends
% 0.92/1.32 *** allocated 10000 integers for clauses
% 0.92/1.32 *** allocated 10000 integers for justifications
% 0.92/1.32 *** allocated 15000 integers for termspace/termends
% 0.92/1.32 Bliksem 1.12
% 0.92/1.32
% 0.92/1.32
% 0.92/1.32 Automatic Strategy Selection
% 0.92/1.32
% 0.92/1.32 Clauses:
% 0.92/1.32 [
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), Y, T ), Z ),
% 0.92/1.32 ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( 'c_List_Onth'(
% 0.92/1.32 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.92/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.92/1.32 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.92/1.32 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.92/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 'c_List_Onth'(
% 0.92/1.32 Y, 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), Z ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.32 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.32 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.32 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.92/1.32 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.92/1.32 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 0.92/1.32 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.32 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.92/1.32 , X, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 'c_List_Onth'(
% 0.92/1.32 X, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'(
% 0.92/1.32 X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.92/1.32 'c_List_Onth'( Y, 'c_HOL_Ominus__class_Ominus'( T,
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ) ), =( T,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Olist__update'( X, Y, Z, T ), T ),
% 0.92/1.32 'c_List_Olist__update'( 'c_List_Orev'( X, T ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Onth'(
% 0.92/1.32 'c_List_Olist_OCons'( Y, Z, T ), 'c_Int_Onumber__class_Onumber__of'( X,
% 0.92/1.32 'tc_nat' ), T ), Y ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.92/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.92/1.32 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.92/1.32 ), Z ), U ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.92/1.32 ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.92/1.32 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.92/1.32 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.92/1.32 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X,
% 0.92/1.32 'c_List_Onth'( Y, X, Z ), Z ), Y ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.92/1.32 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'(
% 0.92/1.32 'c_Suc'( Y ), X, Z ), Z ), 'c_List_Odrop'( Y, X, Z ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.32 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.92/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.92/1.32 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.92/1.32 ), Z ), Y ) ],
% 0.92/1.32 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.92/1.32 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.92/1.32 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.92/1.32 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.92/1.32 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.92/1.32 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.92/1.32 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.92/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.92/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.92/1.32 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 0.92/1.32 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Otake'( X, Y, Z ), T, Z ), 'c_List_Onth'( Y
% 0.92/1.32 , T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), T ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_List_Onth'( X, Y, Z ), 'c_List_Onth'( X, T, Z ) ) ), =( Y, T
% 0.92/1.32 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), ~(
% 0.92/1.32 'c_List_Odistinct'( X, Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Onth'( X, Y, Z ), 'c_List_Onth'( X, T, Z ) ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), ~(
% 0.92/1.32 'c_List_Odistinct'( X, Z ) ), =( Y, T ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.92/1.32 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.92/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.92/1.32 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.92/1.32 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.92/1.32 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Y ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.32 , X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.32 , Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.32 , Y, X ) ) ],
% 0.92/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.92/1.32 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.92/1.32 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.32 X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.32 ), =( Z, Y ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.92/1.32 , Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.92/1.32 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.92/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.92/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.92/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.92/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.92/1.32 X ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 , X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.92/1.32 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 T, X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Omap'( X, Y, Z, T ), U, T ), hAPP( X,
% 0.92/1.32 'c_List_Onth'( Y, U, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( U,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 , X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.92/1.32 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.92/1.32 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 0.92/1.32 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =(
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.92/1.32 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.92/1.32 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.92/1.32 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, U, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.92/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.92/1.32 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.92/1.32 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.92/1.32 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ),
% 0.92/1.32 =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.32 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.32 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( X, Y, 'c_List_Onth'( X, Y, Z ), Z ), X ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.92/1.32 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.92/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.92/1.32 ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.92/1.32 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.92/1.32 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 0.92/1.32 'c_List_Onth'( Y, T, Z ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.92/1.32 ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.92/1.32 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.92/1.32 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.92/1.32 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.92/1.32 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 0.92/1.32 , Y ) ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'tc_nat' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), T ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.92/1.32 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Orev'( X, Y ), Z, Y ), 'c_List_Onth'( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), 'c_Suc'( Z ), 'tc_nat' ), Y ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.32 ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.32 ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.92/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ),
% 0.92/1.32 'c_List_Onth'( X, U, T ) ), =( Y, U ) ],
% 0.92/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.92/1.32 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.92/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.32 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.32 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.92/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.92/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 0.92/1.32 ), Z ), T, X ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 0.92/1.32 , X ) ), T, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.92/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.92/1.32 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.92/1.32 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.92/1.32 ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.92/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.92/1.32 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.92/1.32 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.92/1.32 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.32 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ =( 'c_List_Orotate'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.92/1.32 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.32 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.32 ) ), =( Y, Z ) ],
% 0.92/1.32 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_Suc'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.92/1.32 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.92/1.32 ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.92/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.92/1.32 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.92/1.32 , 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.92/1.32 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.92/1.32 , X, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.92/1.32 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.32 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.92/1.32 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.92/1.32 'tc_nat' ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.92/1.32 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.92/1.32 , T, X ), X ), T, X ) ) ],
% 0.92/1.32 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.92/1.32 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.92/1.32 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y
% 0.92/1.32 , 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( T,
% 0.92/1.32 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ) ), =(
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( T, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.92/1.32 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.92/1.32 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.92/1.32 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.92/1.32 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.92/1.32 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.92/1.32 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.92/1.32 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.92/1.32 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.92/1.32 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.92/1.32 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.32 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.92/1.32 Y ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), X ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( X, Y, T ), Z ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.92/1.32 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.92/1.32 , Y ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), Z, X ), Y ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.92/1.32 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.92/1.32 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.92/1.32 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.92/1.32 ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.92/1.32 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.92/1.32 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.92/1.32 ), W ), W ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.92/1.32 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.92/1.32 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.92/1.32 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.92/1.32 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.92/1.32 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.92/1.32 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.92/1.32 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.92/1.32 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.92/1.32 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.92/1.32 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.92/1.32 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.32 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.92/1.32 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.92/1.32 , X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.92/1.32 , X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.32 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.92/1.32 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.92/1.32 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.92/1.32 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.92/1.32 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.92/1.32 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.92/1.32 Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.92/1.32 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.92/1.32 Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), T ), Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.92/1.32 , Y ), Z ), T, X ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.92/1.32 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ),
% 0.92/1.32 'c_List_Onth'( X, U, T ) ), =( Y, U ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.92/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.92/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.32 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.92/1.32 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.92/1.32 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.32 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.92/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.92/1.32 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.92/1.32 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.32 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( X
% 0.92/1.32 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =( X,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.92/1.32 'tc_nat' ), 'tc_nat' ), Z, T ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.92/1.32 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_List_Orotate'( X, 'c_List_Orev'( Y, Z ), Z ), 'c_List_Orev'(
% 0.92/1.32 'c_List_Orotate'( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), 'c_List_Oappend'(
% 0.92/1.32 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'( 'c_List_Onth'( Y, X, Z )
% 0.92/1.32 , 'c_List_Olist_ONil'( Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( X, 'c_List_Oappend'( 'c_List_Otake'( Y, X, Z ),
% 0.92/1.32 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'( 'c_Suc'(
% 0.92/1.32 Y ), X, Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z ), X ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.92/1.32 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ) ) ) ],
% 0.92/1.32 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 0.92/1.32 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.92/1.32 'tc_List_Olist'( Y ) ) ) ],
% 0.92/1.32 [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 0.92/1.32 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.92/1.32 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.92/1.32 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.92/1.32 ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.92/1.32 ), Z ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.92/1.32 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.92/1.32 , Y ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.92/1.32 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.92/1.32 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.92/1.32 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.92/1.32 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.92/1.32 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.92/1.32 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.92/1.32 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.92/1.32 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.92/1.32 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.92/1.32 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.92/1.32 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.92/1.32 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.92/1.32 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.92/1.32 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.92/1.32 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) ),
% 0.92/1.32 =( 'c_List_Onth'( Y, X, Z ), T ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.92/1.32 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.92/1.32 , Z ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.92/1.32 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.92/1.32 , Y ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.92/1.32 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.92/1.32 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.92/1.32 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.32 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.32 Z, X, 'tc_nat' ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.32 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.92/1.32 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 0.92/1.32 , T ) ) ],
% 0.92/1.32 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.92/1.32 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.92/1.32 'c_Suc'( Y ), Z, T ) ) ],
% 0.92/1.32 [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Orotate'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.92/1.32 ), Z ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.92/1.32 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 0.92/1.32 , T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.92/1.32 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.92/1.32 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.92/1.32 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.92/1.32 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.92/1.32 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.92/1.32 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.92/1.32 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.92/1.32 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.92/1.32 , 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ), ~(
% 0.92/1.32 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.92/1.32 , 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.92/1.32 =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) )
% 0.92/1.32 , X, Z ), T ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.92/1.32 ) ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.92/1.32 =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z )
% 0.92/1.32 ), T, Z ) ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.92/1.32 ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.92/1.32 =( Y, 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.92/1.32 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.92/1.32 =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( T,
% 0.92/1.32 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U ), 'c_lessequals'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.92/1.32 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.92/1.32 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.92/1.32 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.92/1.32 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.92/1.32 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 0.92/1.32 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 0.92/1.32 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.32 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.92/1.32 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.92/1.32 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_List_Oreplicate'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.32 ) ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.92/1.32 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.92/1.32 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.92/1.32 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.92/1.32 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.92/1.32 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.92/1.32 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.92/1.32 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.92/1.32 Y ) ), Z, Y ), X ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Z,
% 0.92/1.32 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.92/1.32 ) ), 'tc_nat' ), =( 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X,
% 0.92/1.32 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.92/1.32 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 0.92/1.32 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.92/1.32 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 0.92/1.32 ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.92/1.32 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.92/1.32 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.92/1.32 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.92/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.92/1.32 ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.92/1.32 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.92/1.32 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.92/1.32 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), 'c_List_Otake'(
% 0.92/1.32 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.92/1.32 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.92/1.32 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), Z ) ) ],
% 0.92/1.32 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.92/1.32 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.92/1.32 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.92/1.32 , Z ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.92/1.32 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.92/1.32 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), Z ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.92/1.32 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.92/1.32 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), Z ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.92/1.32 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.92/1.32 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.92/1.32 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.92/1.32 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.92/1.32 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.92/1.32 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.92/1.32 , Y ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.92/1.32 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.92/1.32 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.92/1.32 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.92/1.32 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.92/1.32 'v_Ts____', 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.92/1.32 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.92/1.32 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.92/1.32 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.92/1.32 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.92/1.32 ],
% 0.92/1.32 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.92/1.32 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.92/1.32 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.92/1.32 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.92/1.32 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.92/1.32 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.92/1.32 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.92/1.32 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.92/1.32 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 0.92/1.32 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.92/1.32 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.92/1.32 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.92/1.32 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.92/1.32 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 0.92/1.32 Z ), Z ), Y ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.92/1.32 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.92/1.32 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.92/1.32 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.92/1.32 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_List_Ofoldr'(
% 0.92/1.32 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.92/1.32 'tc_Type_Otype' ), 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Ofoldr'(
% 0.92/1.32 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.92/1.32 'tc_Type_Otype' ) ) ],
% 0.92/1.32 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.92/1.32 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 0.92/1.32 'c_List_Odistinct'( Y, Z ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'(
% 0.92/1.32 X, Y ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 0.92/1.32 ), Y ) ) ],
% 0.92/1.32 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.92/1.32 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.92/1.32 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.92/1.32 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.92/1.32 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.92/1.32 Y, Z ) ) ],
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.92/1.32 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.92/1.32 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.92/1.32 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.92/1.32 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.92/1.32 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.92/1.32 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldl'( X, Y, Z, T, U ), 'c_List_Ofoldr'( 'c_COMBC'( X, T
% 0.92/1.32 , U, T ), 'c_List_Orev'( Z, U ), Y, U, T ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.92/1.32 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 0.92/1.32 'c_List_Odistinct'( Y, Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.92/1.32 X ) ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.92/1.32 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.92/1.32 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.92/1.32 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.92/1.32 Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.92/1.32 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.92/1.32 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.92/1.32 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.92/1.32 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.92/1.32 Y, T, Z ), Z ) ) ],
% 0.92/1.32 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.92/1.32 T, Y, Z ), Z ) ) ],
% 0.92/1.32 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.92/1.32 ), =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.92/1.32 =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.92/1.32 =( Y, T ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.92/1.32 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.92/1.32 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP( hAPP(
% 0.92/1.32 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.92/1.32 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.92/1.32 'tc_Type_Otype' ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.92/1.32 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.92/1.32 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.92/1.32 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 0.92/1.32 , Z, Y ), Y ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 0.92/1.32 , X, Y ), Y ) ) ],
% 0.92/1.32 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.92/1.32 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.92/1.32 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.92/1.32 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.92/1.32 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.92/1.32 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.92/1.32 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.92/1.32 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.92/1.32 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.92/1.32 , Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.92/1.32 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.92/1.32 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.92/1.32 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.92/1.32 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.92/1.32 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.92/1.32 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.92/1.32 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.92/1.32 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.92/1.32 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.92/1.32 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.92/1.32 , 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.92/1.32 , 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.92/1.32 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.92/1.32 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.92/1.32 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.92/1.32 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.92/1.32 , Y ), Y ), Z ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.92/1.32 Z ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.92/1.32 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.92/1.32 , Y ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.92/1.32 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 0.92/1.32 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), X ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.92/1.32 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.92/1.32 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.92/1.32 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.92/1.32 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.92/1.32 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.92/1.32 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.92/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.92/1.32 'c_List_Olist_ONil'( Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.32 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 0.92/1.32 , X, Y ), Y ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~(
% 0.92/1.32 'c_List_Odistinct'( Y, Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.92/1.32 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldr'( X, Y, Z, T, U ), 'c_List_Ofoldl'( 'c_COMBC'( X, T
% 0.92/1.32 , U, U ), Z, 'c_List_Orev'( Y, T ), U, T ) ) ],
% 0.92/1.32 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.92/1.32 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.92/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.92/1.32 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.92/1.32 'tc_List_Olist'( Z ) ), X ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.92/1.32 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.32 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.92/1.32 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.92/1.32 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.92/1.32 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.92/1.32 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.92/1.32 'c_InductTermi_OIT', X ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.92/1.32 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.92/1.32 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.92/1.32 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.92/1.32 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.92/1.32 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.92/1.32 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.92/1.32 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.92/1.32 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 0.92/1.32 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.92/1.32 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.92/1.32 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.92/1.32 ) ), =( X, T ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.92/1.32 ) ), =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.92/1.32 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.92/1.32 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.92/1.32 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.92/1.32 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.92/1.32 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.92/1.32 , T ) ), =( Y, U ) ],
% 0.92/1.32 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.92/1.32 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.92/1.32 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.92/1.32 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.92/1.32 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.92/1.32 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.92/1.32 , V4 ), W ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.92/1.32 X ) ) ],
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.92/1.32 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.92/1.32 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.92/1.32 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.92/1.32 ) ],
% 0.92/1.32 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.92/1.32 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.92/1.32 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.92/1.32 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.92/1.32 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.92/1.32 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.92/1.32 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.92/1.32 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.92/1.32 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( 'c_COMBC'(
% 0.92/1.32 'c_Lambda_Olift', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 0.92/1.32 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.92/1.32 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.92/1.32 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.92/1.32 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.92/1.32 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.92/1.32 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.92/1.32 [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.92/1.32 Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.92/1.32 ), X ), Y ) ],
% 0.92/1.32 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ),
% 0.92/1.32 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =( 'c_List_Omap'( X
% 0.92/1.32 , Y, Z, Z ), Y ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.92/1.32 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.92/1.32 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.92/1.32 'tc_nat', 'tc_Lambda_OdB' ), Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Omap'( Z, X
% 0.92/1.32 , Y, T ), T ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.92/1.32 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.92/1.32 ), U ) ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.92/1.32 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.92/1.32 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.92/1.32 'tc_Type_Otype' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.92/1.32 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.92/1.32 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.92/1.32 [ =( 'v_n____', 'v_i____' ) ],
% 0.92/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.92/1.32 , 'c_List_Olist_ONil'( T ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.92/1.32 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.92/1.32 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 0.92/1.32 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.92/1.32 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.92/1.32 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 0.92/1.32 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.92/1.32 'tc_nat', 'tc_Lambda_OdB' ) ), Z ), 'tc_Lambda_OdB', 'tc_nat',
% 0.92/1.32 'tc_Lambda_OdB' ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.92/1.32 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.92/1.32 [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U ),
% 0.92/1.32 'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ],
% 0.92/1.32 [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.92/1.32 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ],
% 0.92/1.32 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.92/1.32 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.92/1.32 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.92/1.32 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 0.92/1.32 , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ),
% 0.92/1.32 =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.92/1.32 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.92/1.32 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.92/1.32 U ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.92/1.32 'c_List_Olist_ONil'( Z ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 0.92/1.32 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.92/1.32 [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 0.92/1.32 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 0.92/1.32 'tc_Lambda_OdB' ) ), Y ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), Z
% 0.92/1.32 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'(
% 0.92/1.32 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) ), ~(
% 0.92/1.32 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.92/1.32 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.92/1.32 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.92/1.32 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.92/1.32 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 0.92/1.32 ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 0.92/1.32 , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.92/1.32 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T,
% 0.92/1.32 U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 0.92/1.32 ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.92/1.32 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.92/1.32 'tc_nat', 'tc_Lambda_OdB' ), Y ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.92/1.32 U ), ~( 'c_Type_Otypings'( X, T, U ) ) ],
% 0.92/1.32 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.92/1.32 X ), Y ) ), Z ), Y ), X ) ],
% 0.92/1.32 [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ),
% 0.92/1.32 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.92/1.32 ), Z, X ) ) ],
% 0.92/1.32 [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.92/1.32 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ],
% 0.92/1.32 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.92/1.32 [ ~( 'c_Type_Otypings'( 'v_e____', 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 0.92/1.32 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.92/1.32 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_u____' ), 'tc_Lambda_OdB', 'tc_nat',
% 0.92/1.32 'tc_Lambda_OdB' ), 'v_i____' ), 'v_as____', 'tc_Lambda_OdB',
% 0.92/1.32 'tc_Lambda_OdB' ), 'v_Ts____' ) ) ],
% 0.92/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.92/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.92/1.32 ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.92/1.32 ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.92/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.92/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.92/1.32 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.92/1.32 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.92/1.32 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.92/1.32 U ) ) ],
% 0.92/1.32 [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.92/1.32 [ 'c_fequal'( X, X, Y ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.92/1.32 ] .
% 0.92/1.32
% 0.92/1.32
% 0.92/1.32 percentage equality = 0.376214, percentage horn = 0.925446
% 0.92/1.32 This is a problem with some equality
% 0.92/1.32
% 0.92/1.32
% 0.92/1.32
% 0.92/1.32 Options Used:
% 0.92/1.32
% 0.92/1.32 useres = 1
% 0.92/1.32 useparamod = 1
% 0.92/1.32 useeqrefl = 1
% 0.92/1.32 useeqfact = 1
% 0.92/1.32 usefactor = 1
% 0.92/1.32 usesimpsplitting = 0
% 0.92/1.32 usesimpdemod = 5
% 0.92/1.32 usesimpres = 3
% 0.92/1.32
% 0.92/1.32 resimpinuse = 1000
% 0.92/1.32 resimpclauses = 20000
% 0.92/1.32 substype = eqrewr
% 0.92/1.32 backwardsubs = 1
% 0.92/1.32 selectoldest = 5
% 0.92/1.32
% 0.92/1.32 litorderings [0] = split
% 0.92/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.32
% 0.92/1.32 termordering = kbo
% 0.92/1.32
% 0.92/1.32 litapriori = 0
% 0.92/1.32 termapriori = 1
% 0.92/1.32 litaposteriori = 0
% 0.92/1.32 termaposteriori = 0
% 0.92/1.32 demodaposteriori = 0
% 0.92/1.32 ordereqreflfact = 0
% 0.92/1.32
% 0.92/1.32 litselect = negord
% 0.92/1.32
% 0.92/1.32 maxweight = 15
% 0.92/1.32 maxdepth = 30000
% 0.92/1.32 maxlength = 115
% 0.92/1.32 maxnrvars = 195
% 0.92/1.32 excuselevel = 1
% 0.92/1.32 increasemaxweight = 1
% 0.92/1.32
% 0.92/1.32 maxselected = 10000000
% 0.92/1.32 maxnrclauses = 10000000
% 0.92/1.32
% 0.92/1.32 showgenerated = 0
% 0.92/1.32 showkept = 0
% 0.92/1.32 showselected = 0
% 0.92/1.32 showdeleted = 0
% 0.92/1.32 showresimp = 1
% 0.92/1.32 showstatus = 2000
% 0.92/1.32
% 0.92/1.32 prologoutput = 1
% 0.92/1.32 nrgoals = 5000000
% 0.92/1.32 totalproof = 1
% 0.92/1.32
% 0.92/1.32 Symbols occurring in the translation:
% 0.92/1.32
% 0.92/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.32 . [1, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.92/1.32 ! [4, 1] (w:0, o:114, a:1, s:1, b:0),
% 0.92/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.32 'class_Ring__and__Field_Ozero__neq__one' [40, 1] (w:1, o:119, a:1, s:
% 0.92/1.32 1, b:0),
% 0.92/1.32 'c_HOL_Oone__class_Oone' [41, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.92/1.32 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.92/1.32 'class_Ring__and__Field_Oordered__semidom' [43, 1] (w:1, o:122, a:1
% 0.92/1.32 , s:1, b:0),
% 0.92/1.32 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.92/1.32 'c_List_Olist__update' [48, 4] (w:1, o:205, a:1, s:1, b:0),
% 0.92/1.32 'c_List_Onth' [49, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.92/1.32 'tc_List_Olist' [50, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.92/1.32 'c_Nat_Osize__class_Osize' [51, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.92/1.32 'tc_nat' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.92/1.32 'class_Ring__and__Field_Oordered__idom' [54, 1] (w:1, o:124, a:1, s:1
% 0.92/1.32 , b:0),
% 0.92/1.32 'c_HOL_Oplus__class_Oplus' [55, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.92/1.32 hAPP [57, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.92/1.32 'class_OrderedGroup_Olordered__ab__group__add' [58, 1] (w:1, o:126
% 0.92/1.32 , a:1, s:1, b:0),
% 0.92/1.32 'c_Suc' [59, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.92/1.32 'class_Divides_Osemiring__div' [60, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.92/1.32 'c_Divides_Odiv__class_Omod' [63, 3] (w:1, o:190, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Olist_ONil' [67, 1] (w:1, o:130, a:1, s:1, b:0),
% 3.32/3.69 'c_ListOrder_Ostep1' [68, 4] (w:1, o:206, a:1, s:1, b:0),
% 3.32/3.69 'c_Transitive__Closure_Ortranclp' [69, 2] (w:1, o:182, a:1, s:1, b:0)
% 3.32/3.69 ,
% 3.32/3.69 hBOOL [71, 1] (w:1, o:131, a:1, s:1, b:0),
% 3.32/3.69 'c_HOL_Ominus__class_Ominus' [74, 3] (w:1, o:191, a:1, s:1, b:0),
% 3.32/3.69 'c_lessequals' [75, 3] (w:1, o:192, a:1, s:1, b:0),
% 3.32/3.69 'c_Lambda_OdB_OVar' [77, 1] (w:1, o:132, a:1, s:1, b:0),
% 3.32/3.69 'c_Lambda_OdB_OAbs' [79, 1] (w:1, o:133, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Opordered__comm__monoid__add' [81, 1] (w:1, o:134
% 3.32/3.69 , a:1, s:1, b:0),
% 3.32/3.69 'c_List_Oappend' [83, 3] (w:1, o:193, a:1, s:1, b:0),
% 3.32/3.69 'class_Ring__and__Field_Oidom' [84, 1] (w:1, o:135, a:1, s:1, b:0),
% 3.32/3.69 'class_Int_Onumber__ring' [85, 1] (w:1, o:136, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Ogroup__add' [86, 1] (w:1, o:137, a:1, s:1, b:0)
% 3.32/3.69 ,
% 3.32/3.69 'class_OrderedGroup_Oab__group__add' [87, 1] (w:1, o:138, a:1, s:1
% 3.32/3.69 , b:0),
% 3.32/3.69 'class_OrderedGroup_Osemigroup__add' [89, 1] (w:1, o:139, a:1, s:1
% 3.32/3.69 , b:0),
% 3.32/3.69 'c_List_Ofoldl' [91, 5] (w:1, o:215, a:1, s:1, b:0),
% 3.32/3.69 'class_Ring__and__Field_Ocomm__semiring__1' [92, 1] (w:1, o:140, a:1
% 3.32/3.69 , s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Ocomm__monoid__add' [93, 1] (w:1, o:141, a:1, s:1
% 3.32/3.69 , b:0),
% 3.32/3.69 'c_List_Olist_OCons' [94, 3] (w:1, o:194, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [95, 1]
% 3.32/3.69 (w:1, o:142, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Orev' [97, 2] (w:1, o:183, a:1, s:1, b:0),
% 3.32/3.69 'c_Int_Onumber__class_Onumber__of' [99, 2] (w:1, o:184, a:1, s:1, b:0
% 3.32/3.69 ),
% 3.32/3.69 'c_List_Odrop' [101, 3] (w:1, o:195, a:1, s:1, b:0),
% 3.32/3.69 'c_Lambda_Obeta' [102, 0] (w:1, o:58, a:1, s:1, b:0),
% 3.32/3.69 'tc_Lambda_OdB' [103, 0] (w:1, o:59, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Opordered__ab__semigroup__add' [108, 1] (w:1, o:
% 3.32/3.69 143, a:1, s:1, b:0),
% 3.32/3.69 'class_Orderings_Opreorder' [110, 1] (w:1, o:145, a:1, s:1, b:0),
% 3.32/3.69 'class_Orderings_Oorder' [111, 1] (w:1, o:144, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Otake' [112, 3] (w:1, o:197, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Oab__semigroup__add' [113, 1] (w:1, o:146, a:1
% 3.32/3.69 , s:1, b:0),
% 3.32/3.69 'c_List_Odistinct' [116, 2] (w:1, o:185, a:1, s:1, b:0),
% 3.32/3.69 'c_Lambda_OdB_OApp' [117, 0] (w:1, o:66, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Oreplicate' [119, 3] (w:1, o:198, a:1, s:1, b:0),
% 3.32/3.69 'class_Orderings_Olinorder' [120, 1] (w:1, o:147, a:1, s:1, b:0),
% 3.32/3.69 'class_Divides_Oring__div' [122, 1] (w:1, o:128, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Opordered__ab__group__add' [123, 1] (w:1, o:148
% 3.32/3.69 , a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [124, 1]
% 3.32/3.69 (w:1, o:149, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Omap' [127, 4] (w:1, o:207, a:1, s:1, b:0),
% 3.32/3.69 'c_Type_Oshift' [130, 4] (w:1, o:208, a:1, s:1, b:0),
% 3.32/3.69 'class_Int_Onumber' [131, 1] (w:1, o:150, a:1, s:1, b:0),
% 3.32/3.69 'c_Lambda_Osubst' [133, 0] (w:1, o:79, a:1, s:1, b:0),
% 3.32/3.69 'c_COMBK' [135, 3] (w:1, o:189, a:1, s:1, b:0),
% 3.32/3.69 'class_Int_Oring__char__0' [139, 1] (w:1, o:151, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Orotate' [140, 3] (w:1, o:199, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Ocancel__ab__semigroup__add' [141, 1] (w:1, o:152
% 3.32/3.69 , a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Ocancel__semigroup__add' [142, 1] (w:1, o:153, a:
% 3.32/3.69 1, s:1, b:0),
% 3.32/3.69 'c_InductTermi_OIT' [143, 0] (w:1, o:81, a:1, s:1, b:0),
% 3.32/3.69 'class_OrderedGroup_Omonoid__add' [144, 1] (w:1, o:154, a:1, s:1, b:0
% 3.32/3.69 ),
% 3.32/3.69 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [150, 3] (w:
% 3.32/3.69 1, o:200, a:1, s:1, b:0),
% 3.32/3.69 'c_Type_Osko__Type__Xtyping__elims__2__1' [151, 4] (w:1, o:209, a:1
% 3.32/3.69 , s:1, b:0),
% 3.32/3.69 'c_Type_Otyping' [152, 3] (w:1, o:201, a:1, s:1, b:0),
% 3.32/3.69 'c_Lambda_Olift' [154, 0] (w:1, o:87, a:1, s:1, b:0),
% 3.32/3.69 'c_List_Ofoldr' [155, 5] (w:1, o:216, a:1, s:1, b:0),
% 3.32/3.69 'c_Type_Otype_OFun' [162, 0] (w:1, o:88, a:1, s:1, b:0),
% 3.32/3.69 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [163, 4] (w:1, o:210, a:
% 3.32/3.69 1, s:1, b:0),
% 3.32/3.69 'c_Type_Otypings' [164, 3] (w:1, o:202, a:1, s:1, b:0),
% 19.38/19.82 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [165, 4] (w:1, o:211, a:
% 19.38/19.82 1, s:1, b:0),
% 19.38/19.82 'tc_Type_Otype' [167, 0] (w:1, o:89, a:1, s:1, b:0),
% 19.38/19.82 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [168, 4] (w:1, o:212, a:
% 19.38/19.82 1, s:1, b:0),
% 19.38/19.82 'c_Type_Osko__Type__Xvar__app__types__1__1' [169, 4] (w:1, o:213, a:1
% 19.38/19.82 , s:1, b:0),
% 19.38/19.82 'v_e____' [171, 0] (w:1, o:90, a:1, s:1, b:0),
% 19.38/19.82 'v_i____' [172, 0] (w:1, o:91, a:1, s:1, b:0),
% 19.38/19.82 'v_T____' [173, 0] (w:1, o:92, a:1, s:1, b:0),
% 19.38/19.82 'v_a____' [174, 0] (w:1, o:93, a:1, s:1, b:0),
% 19.38/19.82 'v_T_H_H____' [175, 0] (w:1, o:94, a:1, s:1, b:0),
% 19.38/19.82 'v_n____' [176, 0] (w:1, o:95, a:1, s:1, b:0),
% 19.38/19.82 'v_rs____' [177, 0] (w:1, o:96, a:1, s:1, b:0),
% 19.38/19.82 'v_T_H____' [178, 0] (w:1, o:97, a:1, s:1, b:0),
% 19.38/19.82 'v_Ts____' [179, 0] (w:1, o:98, a:1, s:1, b:0),
% 19.38/19.82 'c_COMBC' [183, 4] (w:1, o:214, a:1, s:1, b:0),
% 19.38/19.82 'c_List_Olistsp' [187, 3] (w:1, o:203, a:1, s:1, b:0),
% 19.38/19.82 'c_Fun_Ocomp' [190, 5] (w:1, o:217, a:1, s:1, b:0),
% 19.38/19.82 'v_u____' [205, 0] (w:1, o:105, a:1, s:1, b:0),
% 19.38/19.82 'c_List_Osko__List__Xmap__idI__1__1' [206, 3] (w:1, o:196, a:1, s:1
% 19.38/19.82 , b:0),
% 19.38/19.82 'tc_fun' [207, 2] (w:1, o:186, a:1, s:1, b:0),
% 19.38/19.82 'v_as____' [208, 0] (w:1, o:106, a:1, s:1, b:0),
% 19.38/19.82 'c_List_Osko__List__Xmap__ext__1__1' [209, 5] (w:1, o:218, a:1, s:1
% 19.38/19.82 , b:0),
% 19.38/19.82 'c_List_Osko__List__Xmap__cong__1__1' [212, 5] (w:1, o:219, a:1, s:1
% 19.38/19.82 , b:0),
% 19.38/19.82 'c_List_Osko__List__Xmap__eq__conv__1__1' [213, 5] (w:1, o:220, a:1
% 19.38/19.82 , s:1, b:0),
% 19.38/19.82 'tc_bool' [216, 0] (w:1, o:110, a:1, s:1, b:0),
% 19.38/19.82 'tc_Int_Oint' [217, 0] (w:1, o:111, a:1, s:1, b:0),
% 19.38/19.82 'c_COMBB' [218, 6] (w:1, o:221, a:1, s:1, b:0),
% 19.38/19.82 'c_fequal' [219, 3] (w:1, o:204, a:1, s:1, b:0).
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Starting Search:
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 4279
% 19.38/19.82 Kept: 2033
% 19.38/19.82 Inuse: 128
% 19.38/19.82 Deleted: 3
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 13353
% 19.38/19.82 Kept: 4168
% 19.38/19.82 Inuse: 248
% 19.38/19.82 Deleted: 3
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 20793
% 19.38/19.82 Kept: 6173
% 19.38/19.82 Inuse: 335
% 19.38/19.82 Deleted: 4
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 32161
% 19.38/19.82 Kept: 8461
% 19.38/19.82 Inuse: 395
% 19.38/19.82 Deleted: 6
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 38776
% 19.38/19.82 Kept: 10613
% 19.38/19.82 Inuse: 420
% 19.38/19.82 Deleted: 6
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 48731
% 19.38/19.82 Kept: 13363
% 19.38/19.82 Inuse: 470
% 19.38/19.82 Deleted: 6
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 61190
% 19.38/19.82 Kept: 15558
% 19.38/19.82 Inuse: 490
% 19.38/19.82 Deleted: 6
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 74725
% 19.38/19.82 Kept: 17566
% 19.38/19.82 Inuse: 513
% 19.38/19.82 Deleted: 6
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 83582
% 19.38/19.82 Kept: 19739
% 19.38/19.82 Inuse: 569
% 19.38/19.82 Deleted: 7
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying clauses:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 93306
% 19.38/19.82 Kept: 22598
% 19.38/19.82 Inuse: 609
% 19.38/19.82 Deleted: 316
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 102683
% 19.38/19.82 Kept: 24623
% 19.38/19.82 Inuse: 664
% 19.38/19.82 Deleted: 316
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 111099
% 19.38/19.82 Kept: 26674
% 19.38/19.82 Inuse: 709
% 19.38/19.82 Deleted: 316
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 126271
% 19.38/19.82 Kept: 29508
% 19.38/19.82 Inuse: 744
% 19.38/19.82 Deleted: 316
% 19.38/19.82 Deletedinuse: 0
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82 Resimplifying inuse:
% 19.38/19.82 Done
% 19.38/19.82
% 19.38/19.82
% 19.38/19.82 Intermediate Status:
% 19.38/19.82 Generated: 141623
% 19.38/19.82 Kept: 32223
% 19.38/19.82 Inuse: 804
% 55.22/55.62 Deleted: 316
% 55.22/55.62 Deletedinuse: 0
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 162357
% 55.22/55.62 Kept: 34414
% 55.22/55.62 Inuse: 825
% 55.22/55.62 Deleted: 316
% 55.22/55.62 Deletedinuse: 0
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 174029
% 55.22/55.62 Kept: 37831
% 55.22/55.62 Inuse: 831
% 55.22/55.62 Deleted: 326
% 55.22/55.62 Deletedinuse: 2
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 183317
% 55.22/55.62 Kept: 39974
% 55.22/55.62 Inuse: 848
% 55.22/55.62 Deleted: 339
% 55.22/55.62 Deletedinuse: 2
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying clauses:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 192510
% 55.22/55.62 Kept: 42422
% 55.22/55.62 Inuse: 855
% 55.22/55.62 Deleted: 930
% 55.22/55.62 Deletedinuse: 2
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 208084
% 55.22/55.62 Kept: 44465
% 55.22/55.62 Inuse: 867
% 55.22/55.62 Deleted: 930
% 55.22/55.62 Deletedinuse: 2
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 224546
% 55.22/55.62 Kept: 46483
% 55.22/55.62 Inuse: 881
% 55.22/55.62 Deleted: 930
% 55.22/55.62 Deletedinuse: 2
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 234138
% 55.22/55.62 Kept: 48610
% 55.22/55.62 Inuse: 892
% 55.22/55.62 Deleted: 930
% 55.22/55.62 Deletedinuse: 2
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 246514
% 55.22/55.62 Kept: 50946
% 55.22/55.62 Inuse: 917
% 55.22/55.62 Deleted: 932
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 256889
% 55.22/55.62 Kept: 52970
% 55.22/55.62 Inuse: 953
% 55.22/55.62 Deleted: 932
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 266986
% 55.22/55.62 Kept: 55007
% 55.22/55.62 Inuse: 977
% 55.22/55.62 Deleted: 932
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 276054
% 55.22/55.62 Kept: 57154
% 55.22/55.62 Inuse: 1007
% 55.22/55.62 Deleted: 932
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 283988
% 55.22/55.62 Kept: 59168
% 55.22/55.62 Inuse: 1023
% 55.22/55.62 Deleted: 932
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 310937
% 55.22/55.62 Kept: 62314
% 55.22/55.62 Inuse: 1027
% 55.22/55.62 Deleted: 932
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying clauses:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 320980
% 55.22/55.62 Kept: 64331
% 55.22/55.62 Inuse: 1035
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 330961
% 55.22/55.62 Kept: 66606
% 55.22/55.62 Inuse: 1042
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 344043
% 55.22/55.62 Kept: 69471
% 55.22/55.62 Inuse: 1074
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 364368
% 55.22/55.62 Kept: 73459
% 55.22/55.62 Inuse: 1107
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 381947
% 55.22/55.62 Kept: 76643
% 55.22/55.62 Inuse: 1140
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 392825
% 55.22/55.62 Kept: 78737
% 55.22/55.62 Inuse: 1147
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 403106
% 55.22/55.62 Kept: 81531
% 55.22/55.62 Inuse: 1152
% 55.22/55.62 Deleted: 1290
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying clauses:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 415129
% 55.22/55.62 Kept: 83706
% 55.22/55.62 Inuse: 1162
% 55.22/55.62 Deleted: 1895
% 55.22/55.62 Deletedinuse: 4
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 428776
% 55.22/55.62 Kept: 85711
% 55.22/55.62 Inuse: 1194
% 55.22/55.62 Deleted: 1899
% 55.22/55.62 Deletedinuse: 8
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 446169
% 55.22/55.62 Kept: 88179
% 55.22/55.62 Inuse: 1207
% 55.22/55.62 Deleted: 1899
% 55.22/55.62 Deletedinuse: 8
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 459521
% 55.22/55.62 Kept: 90443
% 55.22/55.62 Inuse: 1232
% 55.22/55.62 Deleted: 1900
% 55.22/55.62 Deletedinuse: 9
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62 Resimplifying inuse:
% 55.22/55.62 Done
% 55.22/55.62
% 55.22/55.62
% 55.22/55.62 Intermediate Status:
% 55.22/55.62 Generated: 471150
% 55.22/55.62 Kept: 92669
% 55.22/55.62 Inuse: 1247
% 55.22/55.62 Deleted: 1901
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 486337
% 112.20/112.58 Kept: 95333
% 112.20/112.58 Inuse: 1262
% 112.20/112.58 Deleted: 1901
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 513422
% 112.20/112.58 Kept: 97913
% 112.20/112.58 Inuse: 1272
% 112.20/112.58 Deleted: 1901
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 522270
% 112.20/112.58 Kept: 100054
% 112.20/112.58 Inuse: 1282
% 112.20/112.58 Deleted: 1901
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 533696
% 112.20/112.58 Kept: 102137
% 112.20/112.58 Inuse: 1297
% 112.20/112.58 Deleted: 1901
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying clauses:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 547906
% 112.20/112.58 Kept: 104145
% 112.20/112.58 Inuse: 1312
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 563977
% 112.20/112.58 Kept: 106157
% 112.20/112.58 Inuse: 1337
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 585914
% 112.20/112.58 Kept: 109292
% 112.20/112.58 Inuse: 1352
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 603366
% 112.20/112.58 Kept: 112099
% 112.20/112.58 Inuse: 1377
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 620608
% 112.20/112.58 Kept: 114305
% 112.20/112.58 Inuse: 1402
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 635434
% 112.20/112.58 Kept: 116386
% 112.20/112.58 Inuse: 1422
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 654592
% 112.20/112.58 Kept: 119418
% 112.20/112.58 Inuse: 1437
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 666796
% 112.20/112.58 Kept: 121425
% 112.20/112.58 Inuse: 1445
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 682401
% 112.20/112.58 Kept: 124702
% 112.20/112.58 Inuse: 1462
% 112.20/112.58 Deleted: 2087
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying clauses:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 694138
% 112.20/112.58 Kept: 126720
% 112.20/112.58 Inuse: 1486
% 112.20/112.58 Deleted: 2145
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 704650
% 112.20/112.58 Kept: 128988
% 112.20/112.58 Inuse: 1502
% 112.20/112.58 Deleted: 2145
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 719193
% 112.20/112.58 Kept: 131007
% 112.20/112.58 Inuse: 1522
% 112.20/112.58 Deleted: 2145
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 731561
% 112.20/112.58 Kept: 133501
% 112.20/112.58 Inuse: 1537
% 112.20/112.58 Deleted: 2145
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 750858
% 112.20/112.58 Kept: 135795
% 112.20/112.58 Inuse: 1557
% 112.20/112.58 Deleted: 2145
% 112.20/112.58 Deletedinuse: 10
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 759905
% 112.20/112.58 Kept: 137909
% 112.20/112.58 Inuse: 1578
% 112.20/112.58 Deleted: 2146
% 112.20/112.58 Deletedinuse: 11
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 775970
% 112.20/112.58 Kept: 139954
% 112.20/112.58 Inuse: 1599
% 112.20/112.58 Deleted: 2155
% 112.20/112.58 Deletedinuse: 20
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 802668
% 112.20/112.58 Kept: 143338
% 112.20/112.58 Inuse: 1612
% 112.20/112.58 Deleted: 2155
% 112.20/112.58 Deletedinuse: 20
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 809029
% 112.20/112.58 Kept: 145413
% 112.20/112.58 Inuse: 1613
% 112.20/112.58 Deleted: 2155
% 112.20/112.58 Deletedinuse: 20
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying clauses:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 841331
% 112.20/112.58 Kept: 148002
% 112.20/112.58 Inuse: 1632
% 112.20/112.58 Deleted: 14344
% 112.20/112.58 Deletedinuse: 20
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58 Resimplifying inuse:
% 112.20/112.58 Done
% 112.20/112.58
% 112.20/112.58
% 112.20/112.58 Intermediate Status:
% 112.20/112.58 Generated: 855829
% 112.20/112.58 Kept: 153912
% 112.20/112.58 Inuse: 1652
% 112.20/112.58 Deleted: 14344
% 181.20/181.58 Deletedinuse: 20
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 900718
% 181.20/181.58 Kept: 159904
% 181.20/181.58 Inuse: 1677
% 181.20/181.58 Deleted: 14344
% 181.20/181.58 Deletedinuse: 20
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 915547
% 181.20/181.58 Kept: 161911
% 181.20/181.58 Inuse: 1708
% 181.20/181.58 Deleted: 14345
% 181.20/181.58 Deletedinuse: 21
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 924823
% 181.20/181.58 Kept: 163958
% 181.20/181.58 Inuse: 1714
% 181.20/181.58 Deleted: 14345
% 181.20/181.58 Deletedinuse: 21
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying clauses:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 935861
% 181.20/181.58 Kept: 165991
% 181.20/181.58 Inuse: 1724
% 181.20/181.58 Deleted: 14496
% 181.20/181.58 Deletedinuse: 21
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 953770
% 181.20/181.58 Kept: 168679
% 181.20/181.58 Inuse: 1732
% 181.20/181.58 Deleted: 14496
% 181.20/181.58 Deletedinuse: 21
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 970921
% 181.20/181.58 Kept: 170828
% 181.20/181.58 Inuse: 1737
% 181.20/181.58 Deleted: 14496
% 181.20/181.58 Deletedinuse: 21
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 989204
% 181.20/181.58 Kept: 173063
% 181.20/181.58 Inuse: 1742
% 181.20/181.58 Deleted: 14496
% 181.20/181.58 Deletedinuse: 21
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1001179
% 181.20/181.58 Kept: 175103
% 181.20/181.58 Inuse: 1767
% 181.20/181.58 Deleted: 14524
% 181.20/181.58 Deletedinuse: 49
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1011154
% 181.20/181.58 Kept: 180053
% 181.20/181.58 Inuse: 1777
% 181.20/181.58 Deleted: 14524
% 181.20/181.58 Deletedinuse: 49
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1030259
% 181.20/181.58 Kept: 187873
% 181.20/181.58 Inuse: 1790
% 181.20/181.58 Deleted: 14525
% 181.20/181.58 Deletedinuse: 50
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying clauses:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1045423
% 181.20/181.58 Kept: 195070
% 181.20/181.58 Inuse: 1791
% 181.20/181.58 Deleted: 15505
% 181.20/181.58 Deletedinuse: 50
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1055234
% 181.20/181.58 Kept: 197660
% 181.20/181.58 Inuse: 1802
% 181.20/181.58 Deleted: 15507
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1067123
% 181.20/181.58 Kept: 200964
% 181.20/181.58 Inuse: 1812
% 181.20/181.58 Deleted: 15507
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1082356
% 181.20/181.58 Kept: 207775
% 181.20/181.58 Inuse: 1813
% 181.20/181.58 Deleted: 15507
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying clauses:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1091309
% 181.20/181.58 Kept: 210385
% 181.20/181.58 Inuse: 1817
% 181.20/181.58 Deleted: 16425
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1104928
% 181.20/181.58 Kept: 213036
% 181.20/181.58 Inuse: 1827
% 181.20/181.58 Deleted: 16425
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1129425
% 181.20/181.58 Kept: 216158
% 181.20/181.58 Inuse: 1842
% 181.20/181.58 Deleted: 16425
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1150204
% 181.20/181.58 Kept: 218658
% 181.20/181.58 Inuse: 1852
% 181.20/181.58 Deleted: 16425
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1169230
% 181.20/181.58 Kept: 220768
% 181.20/181.58 Inuse: 1857
% 181.20/181.58 Deleted: 16425
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1197335
% 181.20/181.58 Kept: 227780
% 181.20/181.58 Inuse: 1872
% 181.20/181.58 Deleted: 16425
% 181.20/181.58 Deletedinuse: 52
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying clauses:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1207344
% 181.20/181.58 Kept: 230330
% 181.20/181.58 Inuse: 1877
% 181.20/181.58 Deleted: 16461
% 181.20/181.58 Deletedinuse: 53
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1217853
% 181.20/181.58 Kept: 232335
% 181.20/181.58 Inuse: 1897
% 181.20/181.58 Deleted: 16462
% 181.20/181.58 Deletedinuse: 54
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1228083
% 181.20/181.58 Kept: 235205
% 181.20/181.58 Inuse: 1902
% 181.20/181.58 Deleted: 16462
% 181.20/181.58 Deletedinuse: 54
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1241719
% 181.20/181.58 Kept: 239016
% 181.20/181.58 Inuse: 1912
% 181.20/181.58 Deleted: 16462
% 181.20/181.58 Deletedinuse: 54
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58 Resimplifying inuse:
% 181.20/181.58 Done
% 181.20/181.58
% 181.20/181.58
% 181.20/181.58 Intermediate Status:
% 181.20/181.58 Generated: 1255525
% 181.20/181.58 Kept: 245044
% 181.20/181.58 Inuse: 1922
% 181.20/181.58 Deleted: 16462
% 181.20/181.58 Deletedinuse: 54
% 181.20/181.58
% 181.20/181.58 Resimplifying inuseCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------