TSTP Solution File: LCL830-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL830-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:58:33 EDT 2022
% Result : Unsatisfiable 19.63s 20.00s
% Output : Refutation 19.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL830-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n029.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 : Sun Jul 3 06:35:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.85/1.25 *** allocated 10000 integers for termspace/termends
% 0.85/1.25 *** allocated 10000 integers for clauses
% 0.85/1.25 *** allocated 10000 integers for justifications
% 0.85/1.25 Bliksem 1.12
% 0.85/1.25
% 0.85/1.25
% 0.85/1.25 Automatic Strategy Selection
% 0.85/1.25
% 0.85/1.25 Clauses:
% 0.85/1.25 [
% 0.85/1.25 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Orotate'(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 0.85/1.25 , T ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_OdropWhile'( X, Y
% 0.85/1.25 , Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y
% 0.85/1.25 , Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.85/1.25 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.85/1.25 'c_Type_Otype_OFun'( U, T ) ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.85/1.25 'c_List_Olist_OCons'( Z, T, X ), X ), X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, T, X ), X ) )
% 0.85/1.25 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.85/1.25 'c_List_Olist_OCons'( Z, T, X ), X ), X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Ofilter'( X, Y, Z
% 0.85/1.25 ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.85/1.25 [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 0.85/1.25 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.85/1.25 [ =( 'c_List_Orotate'( X, 'c_List_Orev'( Y, Z ), Z ), 'c_List_Orev'(
% 0.85/1.25 'c_List_Orotate'( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.25 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.85/1.25 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.85/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.85/1.25 'tc_nat' ) ) ) ],
% 0.85/1.25 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 0.85/1.25 , Y ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.85/1.25 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.85/1.25 =( X, Z ) ],
% 0.85/1.25 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.85/1.25 =( Y, T ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.85/1.25 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.85/1.25 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.85/1.25 X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.85/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.85/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.85/1.25 , Y, 'tc_nat' ) ) ],
% 0.85/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.85/1.25 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.85/1.25 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.85/1.25 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.85/1.25 'tc_nat' ) ],
% 0.85/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.85/1.25 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.85/1.25 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.85/1.25 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.85/1.25 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.85/1.25 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.85/1.25 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.85/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.85/1.25 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.85/1.25 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.85/1.25 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.25 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.85/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.85/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.85/1.25 'tc_nat' ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Y, Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Y, Z ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.85/1.25 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.85/1.25 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.85/1.25 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.85/1.25 ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 0.85/1.25 'tc_nat' ) ],
% 0.85/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.85/1.25 , T, X ), X ), T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.25 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.25 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 T, Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.85/1.25 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.85/1.25 'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.25 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.25 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 T, Z, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.85/1.25 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 0.85/1.25 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.85/1.25 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.85/1.25 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.85/1.25 , 'tc_nat' ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ), ~(
% 0.85/1.25 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.85/1.25 , 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.85/1.25 =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) )
% 0.85/1.25 , X, Z ), T ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.85/1.25 ) ), 'tc_nat' ) ],
% 0.85/1.25 [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.85/1.25 =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z )
% 0.85/1.25 ), T, Z ) ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.85/1.25 ) ), 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.85/1.25 =( Y, 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.85/1.25 =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( T,
% 0.85/1.25 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U ), 'c_lessequals'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.85/1.25 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.85/1.25 ) ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 0.85/1.25 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 0.85/1.25 , Z, Y ), Y ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 0.85/1.25 , X, Y ), Y ) ) ],
% 0.85/1.25 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.85/1.25 [ =( 'c_List_OdropWhile'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.85/1.25 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_OdropWhile'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap__filter'( X, Y, Z, T, U ), 'c_List_Omap'( X,
% 0.85/1.25 'c_List_Ofilter'( Y, Z, T ), T, U ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~( 'c_List_Olist__all2'( X,
% 0.85/1.25 'c_List_Orev'( Y, T ), 'c_List_Orev'( Z, U ), T, U ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, Z ), 'c_List_Orev'( T, U )
% 0.85/1.25 , Z, U ), ~( 'c_List_Olist__all2'( X, Y, T, Z, U ) ) ],
% 0.85/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.85/1.25 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.85/1.25 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.85/1.25 ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.85/1.25 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.85/1.25 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.85/1.25 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.85/1.25 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.85/1.25 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.85/1.25 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.85/1.25 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.85/1.25 , Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ), ~(
% 0.85/1.25 'c_List_Olist__all2'( U, X, Z, Y, T ) ) ],
% 0.85/1.25 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.85/1.25 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.25 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.85/1.25 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.85/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.25 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.85/1.25 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofilter'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oreplicate'( Y, Z, T ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.85/1.25 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.85/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ) ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 0.85/1.25 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.85/1.25 ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 0.85/1.25 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype'
% 0.85/1.25 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.85/1.25 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 0.85/1.25 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.85/1.25 ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 0.85/1.25 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype'
% 0.85/1.25 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.85/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.85/1.25 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.85/1.25 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.85/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.85/1.25 , Z ) ) ],
% 0.85/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.85/1.25 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), 'c_List_Otake'(
% 0.85/1.25 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.85/1.25 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), 'c_Type_Otype_OFun'( Z
% 0.85/1.25 , T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.85/1.25 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.85/1.25 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.85/1.25 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.85/1.25 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.85/1.25 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 0.85/1.25 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.85/1.25 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.85/1.25 Y ) ), Z, Y ), X ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Z,
% 0.85/1.25 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.85/1.25 ) ), 'tc_nat' ), =( 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X,
% 0.85/1.25 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ) ) ],
% 0.85/1.25 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.85/1.25 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'(
% 0.85/1.25 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), Z,
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ) ],
% 0.85/1.25 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.85/1.25 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.85/1.25 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.85/1.25 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.85/1.25 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.85/1.25 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 0.85/1.25 'tc_List_Olist'( Z ) ), Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.85/1.25 =( Y, T ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.85/1.25 =( X, T ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.85/1.25 ), =( X, T ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.85/1.25 [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.85/1.25 [ ~( 'c_List_Olist__ex'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.85/1.25 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.85/1.25 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.85/1.25 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.85/1.25 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.85/1.25 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.85/1.25 [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z,
% 0.85/1.25 'c_List_Olist_ONil'( 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X, Y ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.85/1.25 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Otake'( Y, Z, T ), 'c_List_Otake'( Y
% 0.85/1.25 , U, W ), T, W ), ~( 'c_List_Olist__all2'( X, Z, U, T, W ) ) ],
% 0.85/1.25 [ =( 'c_List_OremoveAll'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Ofilter'( Y, Z, T ) ), hBOOL( hAPP( Y, X ) ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.85/1.25 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.85/1.25 [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X, Y, Z, Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.85/1.25 ],
% 0.85/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.85/1.25 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.85/1.25 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.85/1.25 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.85/1.25 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.85/1.25 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.85/1.25 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.85/1.25 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.85/1.25 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.85/1.25 , Y ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.85/1.25 U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z, W, T, V0 ) ), ~(
% 0.85/1.25 'c_List_Olist__all2'( X, Y, U, T, V0 ) ) ],
% 0.85/1.25 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( W, 'tc_List_Olist'( T ) ) ) ),
% 0.85/1.25 'c_List_Olist__all2'( V0, 'c_List_Oappend'( U, X, Y ), 'c_List_Oappend'(
% 0.85/1.25 W, Z, T ), Y, T ), ~( 'c_List_Olist__all2'( V0, X, Z, Y, T ) ), ~(
% 0.85/1.25 'c_List_Olist__all2'( V0, U, W, Y, T ) ) ],
% 0.85/1.25 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( W, 'tc_List_Olist'( T ) ) ) ),
% 0.85/1.25 'c_List_Olist__all2'( V0, 'c_List_Oappend'( W, Z, T ), 'c_List_Oappend'(
% 0.85/1.25 U, X, Y ), T, Y ), ~( 'c_List_Olist__all2'( V0, Z, X, T, Y ) ), ~(
% 0.85/1.25 'c_List_Olist__all2'( V0, W, U, T, Y ) ) ],
% 0.85/1.25 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 0.85/1.25 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Ofilter'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.85/1.25 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.85/1.25 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.85/1.25 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.85/1.25 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_OtakeWhile'( Y, Z, X ), X ),
% 0.85/1.25 ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 0.85/1.25 Z ), Z ), Y ) ],
% 0.85/1.25 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.85/1.25 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.85/1.25 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.85/1.25 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.85/1.25 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.85/1.25 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'(
% 0.85/1.25 X, Y ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 0.85/1.25 ), Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.85/1.25 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_Olist__case'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z )
% 0.85/1.25 , X ) ],
% 0.85/1.25 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ),
% 0.85/1.25 'c_List_Olist__all2'( U, 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z
% 0.85/1.25 , V0, T ), Y, T ), ~( 'c_List_Olist__all2'( U, W, V0, Y, T ) ), ~(
% 0.85/1.25 'c_List_Olist__all2'( U, X, Z, Y, T ) ) ],
% 0.85/1.25 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP(
% 0.85/1.25 'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.85/1.25 Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.85/1.25 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.85/1.25 ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.85/1.25 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.85/1.25 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.85/1.25 ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.85/1.25 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.85/1.25 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.85/1.25 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.85/1.25 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.85/1.25 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.85/1.25 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.85/1.25 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.85/1.25 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.85/1.25 'c_List_Olist__all'( X, Z, T ) ), ~( 'c_List_Olist__all'( X, Y, T ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.85/1.25 'c_List_Olist_ONil'( X ), X ), X ) ],
% 0.85/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.85/1.25 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.85/1.25 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Olistrelp'( X, 'c_List_Olist_ONil'( Y ), 'c_List_Olist_ONil'(
% 0.85/1.25 Y ), Y ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_OtakeWhile'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.85/1.25 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.85/1.25 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.85/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.85/1.25 Z ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 0.85/1.25 ), T ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.85/1.25 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, Z ), T, Z, U ), ~(
% 0.85/1.25 'c_List_Olist__all2'( X, Y, 'c_List_Orev'( T, U ), Z, U ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, Y, 'c_List_Orev'( Z, T ), U, T ), ~(
% 0.85/1.25 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, U ), Z, U, T ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.25 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.85/1.25 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.85/1.25 [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z,
% 0.85/1.25 'c_List_Olist_OCons'( T, U, 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X
% 0.85/1.25 , hAPP( hAPP( Z, T ), U ) ) ) ],
% 0.85/1.25 [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z,
% 0.85/1.25 'c_List_Olist_OCons'( T, U, 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X
% 0.85/1.25 , hAPP( hAPP( Z, T ), U ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Ofilter'( X, Z, T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~(
% 0.85/1.25 'c_List_Olist__all'( X, Z, T ) ), ~( hBOOL( hAPP( X, Y ) ) ) ],
% 0.85/1.25 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.85/1.25 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.85/1.25 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.85/1.25 [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.85/1.25 'c_List_OremoveAll'( X, Y, Z ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Omap__filter'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), U, W
% 0.85/1.25 ), 'c_List_Olist_OCons'( hAPP( X, Z ), 'c_List_Omap__filter'( X, Y, T, U
% 0.85/1.25 , W ), W ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.85/1.25 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.85/1.25 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_List_OdropWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, Z, T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.85/1.25 [ =( 'c_List_OdropWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_OdropWhile'( X, Z, T ) ), ~( hBOOL( hAPP( X, Y ) ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.85/1.25 , 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.85/1.25 , 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_List_OdropWhile'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.85/1.25 ) ), =( Y, 'c_List_Oappend'( 'c_List_OtakeWhile'( X, Y, Z ),
% 0.85/1.25 'c_List_Olist_OCons'( T, U, Z ), Z ) ) ],
% 0.85/1.25 [ ~( =( X, 'c_List_Oappend'( 'c_List_OtakeWhile'( Y, X, Z ),
% 0.85/1.25 'c_List_Olist_OCons'( T, U, Z ), Z ) ) ), =( 'c_List_OdropWhile'( Y, X, Z
% 0.85/1.25 ), 'c_List_Olist_OCons'( T, U, Z ) ), hBOOL( hAPP( Y, T ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.85/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.85/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.85/1.25 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.85/1.25 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.85/1.25 , Y ), Y ), Z ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.85/1.25 Z ) ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Oremove1'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.85/1.25 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.85/1.25 , Y ) ],
% 0.85/1.25 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ),
% 0.85/1.25 'c_List_Olist__all2'( U, X, Z, Y, T ), ~( 'c_List_Olist__all2'( U,
% 0.85/1.25 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z, V0, T ), Y, T ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ),
% 0.85/1.25 'c_List_Olist__all2'( U, W, V0, Y, T ), ~( 'c_List_Olist__all2'( U,
% 0.85/1.25 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z, V0, T ), Y, T ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_OremoveAll'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_OremoveAll'( X, Y, T ), 'c_List_OremoveAll'( X
% 0.85/1.25 , Z, T ), T ) ) ],
% 0.85/1.25 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.25 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 0.85/1.25 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.85/1.25 ) ) ) ],
% 0.85/1.25 [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y, 'c_List_Olist_OCons'(
% 0.85/1.25 Z, T, U ), U ), U ), 'c_List_OtakeWhile'( X, Y, U ) ), hBOOL( hAPP( X, Z
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.85/1.25 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.85/1.25 X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.85/1.25 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ), X ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.85/1.25 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.85/1.25 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.85/1.25 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.85/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.85/1.25 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Odrop'( Y, Z, T ), 'c_List_Odrop'( Y
% 0.85/1.25 , U, W ), T, W ), ~( 'c_List_Olist__all2'( X, Z, U, T, W ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.85/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.85/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.85/1.25 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.85/1.25 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.85/1.25 [ =( 'c_List_Oremove1'( X, Y, Z ), 'c_List_OremoveAll'( X, Y, Z ) ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Oremove1'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Ofilter'( Y, Z, T ) ), hBOOL( hAPP( Y, X ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofilter'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_OtakeWhile'( X, Y, Z ),
% 0.85/1.25 'c_List_OdropWhile'( X, Y, Z ), Z ), Y ) ],
% 0.85/1.25 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z,
% 0.85/1.25 'c_List_Olist_ONil'( T ), X, T, Y ) ) ],
% 0.85/1.25 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z, X,
% 0.85/1.25 'c_List_Olist_ONil'( T ), Y, T ) ) ],
% 0.85/1.25 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.85/1.25 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.85/1.25 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.85/1.25 ), W ), W ) ) ],
% 0.85/1.25 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.85/1.25 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 0.85/1.25 , X, Y ), Y ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Odistinct'( Y, Z ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.85/1.25 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.85/1.25 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.85/1.25 'tc_List_Olist'( Z ) ), X ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.85/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.85/1.25 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.85/1.25 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.85/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.25 [ =( 'c_List_OdropWhile'( X, Y, Z ), 'c_List_Odrop'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 0.85/1.25 'tc_List_Olist'( Z ) ), Y, Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.85/1.25 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.85/1.25 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.85/1.25 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.85/1.25 [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.85/1.25 'tc_bool' ) ), X ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.85/1.25 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.85/1.25 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.85/1.25 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 0.85/1.25 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.85/1.25 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.85/1.25 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.85/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.85/1.25 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.85/1.25 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.85/1.25 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~(
% 0.85/1.25 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.85/1.25 Z ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.85/1.25 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.85/1.25 , T ) ), =( Y, U ) ],
% 0.85/1.25 [ =( 'c_List_Omap__filter'( X, Y, 'c_List_Olist_ONil'( Z ), Z, T ),
% 0.85/1.25 'c_List_Olist_ONil'( T ) ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X,
% 0.85/1.25 'c_List_Orev'( Y, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, 'c_List_Orev'( Y, Z ), Z ), ~(
% 0.85/1.25 'c_List_Olist__all'( X, Y, Z ) ) ],
% 0.85/1.25 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.85/1.25 Z ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.85/1.25 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.85/1.25 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.85/1.25 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.85/1.25 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.85/1.25 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.85/1.25 , V4 ), W ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.85/1.25 'c_List_Olist_ONil'( Y ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.85/1.25 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Olist_ONil'( Y ), 'c_List_Olist_ONil'(
% 0.85/1.25 Z ), Y, Z ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.85/1.25 hAPP( X, T ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Ofilter'( X, Y, Z ), Z ), 'c_List_Ofilter'(
% 0.85/1.25 X, 'c_List_Orev'( Y, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.85/1.25 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.85/1.25 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.85/1.25 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.85/1.25 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X,
% 0.85/1.25 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X,
% 0.85/1.25 'c_List_Oappend'( T, Y, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.85/1.25 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_OdropWhile'( Y, Z, X ), X ),
% 0.85/1.25 ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.85/1.25 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.85/1.25 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.85/1.25 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Oremove1'( Y, Z, X ), X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.85/1.25 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.85/1.25 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ), =( X, Y ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_List_Olistrelp'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.85/1.25 'c_List_Olist_OCons'( U, W, T ), T ), ~( 'c_List_Olistrelp'( X, Z, W, T )
% 0.85/1.25 ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__ex'( X, Y, Z ), hBOOL( hAPP( X, T ) ), ~(
% 0.85/1.25 'c_List_Olist__ex'( X, 'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Olist__ex'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~(
% 0.85/1.25 'c_List_Olist__ex'( X, Z, T ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.85/1.25 'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.85/1.25 , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.85/1.25 'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.85/1.25 , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.85/1.25 'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z
% 0.85/1.25 , W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ],
% 0.85/1.25 [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, 'c_List_OremoveAll'( X, Z, T ), T ) ), =( X, Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( =( 'c_List_OdropWhile'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.85/1.25 ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__ex'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~( hBOOL(
% 0.85/1.25 hAPP( X, Y ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap__filter'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), U, W
% 0.85/1.25 ), 'c_List_Omap__filter'( X, Y, T, U, W ) ), hBOOL( hAPP( Y, Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_List_OListMem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 0.85/1.25 [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~( 'c_List_Olist__all2'( X,
% 0.85/1.25 'c_List_Olist_OCons'( W, Y, T ), 'c_List_Olist_OCons'( V0, Z, U ), T, U )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_List_Ofilter'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.85/1.25 , hBOOL( hAPP( X, T ) ) ],
% 0.85/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.85/1.25 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.85/1.25 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, 'c_List_Ofilter'( X, Z, T ), T ) ), ~( hBOOL(
% 0.85/1.25 hAPP( X, Y ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Ofilter'( T, U, Z ) ) )
% 0.85/1.25 , hBOOL( hAPP( T, X ) ) ],
% 0.85/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.85/1.25 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ),
% 0.85/1.25 ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T,
% 0.85/1.25 'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.85/1.25 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.85/1.25 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_Olist__case'( X, Y, 'c_List_Olist_OCons'( Z, T, U ),
% 0.85/1.25 W, U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.85/1.25 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_List_Olist__all2'( X,
% 0.85/1.25 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, W, V0 ), U, V0
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.85/1.25 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.85/1.25 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.85/1.25 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 0.85/1.25 ],
% 0.85/1.25 [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.85/1.25 'c_List_Olist_OCons'( Y, 'c_List_OtakeWhile'( X, Z, T ), T ) ), ~( hBOOL(
% 0.85/1.25 hAPP( X, Y ) ) ) ],
% 0.85/1.25 [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'( X,
% 0.85/1.25 'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_List_Olist__all'( X, 'c_List_Olist_OCons'(
% 0.85/1.25 Y, Z, T ), T ) ) ],
% 0.85/1.25 [ 'c_List_OListMem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~(
% 0.85/1.25 'c_List_OListMem'( X, Z, T ) ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.85/1.25 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.85/1.25 , =( Y, 'c_List_Olist_OCons'(
% 0.85/1.25 'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'( X, Y, U, W, Z, T ),
% 0.85/1.25 'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'( X, Y, U, W, Z, T ), Z )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.85/1.25 , =( U, 'c_List_Olist_OCons'(
% 0.85/1.25 'c_List_Osko__List__XCons__eq__map__conv__1__1'( T, X, Y, U, W, Z ),
% 0.85/1.25 'c_List_Osko__List__XCons__eq__map__conv__1__2'( T, X, Y, U, W, Z ), W )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.85/1.25 , =( Y, 'c_List_Olist_OCons'(
% 0.85/1.25 'c_List_Osko__List__Xmap__eq__Cons__D__1__1'( X, Y, U, W, Z, T ),
% 0.85/1.25 'c_List_Osko__List__Xmap__eq__Cons__D__1__2'( X, Y, U, W, Z, T ), Z ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.85/1.25 , =( U, 'c_List_Olist_OCons'(
% 0.85/1.25 'c_List_Osko__List__XCons__eq__map__D__1__1'( T, X, Y, U, W, Z ),
% 0.85/1.25 'c_List_Osko__List__XCons__eq__map__D__1__2'( T, X, Y, U, W, Z ), W ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.85/1.25 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.85/1.25 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.85/1.25 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.85/1.25 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.85/1.25 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.85/1.25 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.85/1.25 'c_Type_Otypings'( X, T, U ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.85/1.25 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.85/1.25 Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.85/1.25 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ),
% 0.85/1.25 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =( 'c_List_Omap'( X
% 0.85/1.25 , Y, Z, Z ), Y ) ],
% 0.85/1.25 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Omap'( Z, X
% 0.85/1.25 , Y, T ), T ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.85/1.25 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.85/1.25 ), U ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.85/1.25 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.85/1.25 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.85/1.25 , 'c_List_Olist_ONil'( T ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.85/1.25 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.85/1.25 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 0.85/1.25 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.85/1.25 ) ) ) ],
% 0.85/1.25 [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U ),
% 0.85/1.25 'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ],
% 0.85/1.25 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.85/1.25 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.85/1.25 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 0.85/1.25 , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ),
% 0.85/1.25 =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.85/1.25 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.85/1.25 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.85/1.25 'c_List_Olist_ONil'( Z ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 0.85/1.25 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.85/1.25 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 0.85/1.25 ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 0.85/1.25 , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.85/1.25 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T,
% 0.85/1.25 U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 0.85/1.25 ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ),
% 0.85/1.25 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.85/1.25 ), Z, X ) ) ],
% 0.85/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.85/1.25 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.85/1.25 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.85/1.25 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.85/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.85/1.25 ), X ), Y ) ],
% 0.85/1.25 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 0.85/1.25 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 0.85/1.25 X, T ) ) ],
% 0.85/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.85/1.25 X ), Y ) ), Z ), Y ), X ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.85/1.25 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.85/1.25 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.85/1.25 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( X, Y, Z ), ~( hBOOL( hAPP( X,
% 0.85/1.25 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), ~( 'c_List_Olistsp'( Y, T, Z ) ), ~(
% 0.85/1.25 'c_List_Olistsp'( X, T, Z ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.85/1.25 T, Y, Z ), Z ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.85/1.25 Y, T, Z ), Z ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.25 , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ),
% 0.85/1.25 ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'(
% 0.85/1.25 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.25 , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ),
% 0.85/1.25 ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'(
% 0.85/1.25 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'v_n____', 'v_i____' ) ) ],
% 0.85/1.25 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.85/1.25 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.85/1.25 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.85/1.25 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.85/1.25 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.85/1.25 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.85/1.25 , =( 'c_List_Omap'( X, 'c_List_Osko__List__Xmap__eq__Cons__D__1__2'( X, Y
% 0.85/1.25 , U, W, Z, T ), Z, T ), W ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.85/1.25 , =( Y, 'c_List_Omap'( T, 'c_List_Osko__List__XCons__eq__map__conv__1__2'(
% 0.85/1.25 T, X, Y, U, W, Z ), W, Z ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.85/1.25 , =( hAPP( X, 'c_List_Osko__List__Xmap__eq__Cons__D__1__1'( X, Y, U, W, Z
% 0.85/1.25 , T ) ), U ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.85/1.25 , =( hAPP( X, 'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'( X, Y, U, W
% 0.85/1.25 , Z, T ) ), U ) ],
% 0.85/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'( U, W, T ) ) )
% 0.85/1.25 , =( 'c_List_Omap'( X, 'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'( X
% 0.85/1.25 , Y, U, W, Z, T ), Z, T ), W ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.85/1.25 , =( X, hAPP( T, 'c_List_Osko__List__XCons__eq__map__conv__1__1'( T, X, Y
% 0.85/1.25 , U, W, Z ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.85/1.25 , =( X, hAPP( T, 'c_List_Osko__List__XCons__eq__map__D__1__1'( T, X, Y, U
% 0.85/1.25 , W, Z ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T, U, W, Z ) ) )
% 0.85/1.25 , =( Y, 'c_List_Omap'( T, 'c_List_Osko__List__XCons__eq__map__D__1__2'( T
% 0.85/1.25 , X, Y, U, W, Z ), W, Z ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.85/1.25 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.85/1.25 'c_InductTermi_OIT', X ) ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.85/1.25 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.85/1.25 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.85/1.25 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.85/1.25 'tc_Lambda_OdB' ) ) ],
% 0.85/1.25 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.85/1.25 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.85/1.25 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.85/1.25 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.85/1.25 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.85/1.25 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.85/1.25 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.85/1.25 , 'tc_Lambda_OdB' ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.85/1.25 ) ), =( Y, U ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.85/1.25 ) ), =( X, T ) ],
% 0.85/1.25 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.85/1.25 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.85/1.25 , 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB',
% 0.85/1.25 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.85/1.25 ), 'tc_Lambda_OdB' ) ],
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.85/1.25 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.85/1.25 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.85/1.25 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.85/1.25 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.85/1.25 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.85/1.25 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.85/1.25 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'( hAPP(
% 0.85/1.25 hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ), 'v_u____' ), 'v_i____' ),
% 0.85/1.25 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____',
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 0.85/1.25 , 'v_i____', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____',
% 0.85/1.25 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.85/1.25 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.85/1.25 , 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB',
% 0.85/1.25 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Olist_OCons'( 'v_a____', 'v_as____'
% 0.85/1.25 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.85/1.25 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.25 'class_Orderings_Opreorder'( Y ) ) ],
% 0.85/1.25 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.85/1.25 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.25 'class_Orderings_Oorder'( Y ) ) ],
% 0.85/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.85/1.25 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.85/1.25 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.85/1.25 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.85/1.25 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.85/1.25 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.85/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.85/1.25 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.85/1.25 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.85/1.25 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.85/1.25 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.85/1.25 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.85/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.85/1.25 ] .
% 0.85/1.25
% 0.85/1.25
% 0.85/1.25 percentage equality = 0.452352, percentage horn = 0.937778
% 0.85/1.25 This is a problem with some equality
% 0.85/1.25
% 0.85/1.25
% 0.85/1.25
% 0.85/1.25 Options Used:
% 0.85/1.25
% 0.85/1.25 useres = 1
% 0.85/1.25 useparamod = 1
% 0.85/1.25 useeqrefl = 1
% 0.85/1.25 useeqfact = 1
% 0.85/1.25 usefactor = 1
% 0.85/1.25 usesimpsplitting = 0
% 0.85/1.25 usesimpdemod = 5
% 0.85/1.25 usesimpres = 3
% 0.85/1.25
% 0.85/1.25 resimpinuse = 1000
% 0.85/1.25 resimpclauses = 20000
% 0.85/1.25 substype = eqrewr
% 0.85/1.25 backwardsubs = 1
% 0.85/1.25 selectoldest = 5
% 0.85/1.25
% 0.85/1.25 litorderings [0] = split
% 0.85/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.25
% 0.85/1.25 termordering = kbo
% 0.85/1.25
% 0.85/1.25 litapriori = 0
% 0.85/1.25 termapriori = 1
% 0.85/1.25 litaposteriori = 0
% 0.85/1.25 termaposteriori = 0
% 0.85/1.25 demodaposteriori = 0
% 0.85/1.25 ordereqreflfact = 0
% 0.85/1.25
% 0.85/1.25 litselect = negord
% 0.85/1.25
% 0.85/1.25 maxweight = 15
% 0.85/1.25 maxdepth = 30000
% 0.85/1.25 maxlength = 115
% 0.85/1.25 maxnrvars = 195
% 0.85/1.25 excuselevel = 1
% 0.85/1.25 increasemaxweight = 1
% 0.85/1.25
% 0.85/1.25 maxselected = 10000000
% 0.85/1.25 maxnrclauses = 10000000
% 0.85/1.25
% 0.85/1.25 showgenerated = 0
% 0.85/1.25 showkept = 0
% 0.85/1.25 showselected = 0
% 0.85/1.25 showdeleted = 0
% 0.85/1.25 showresimp = 1
% 0.85/1.25 showstatus = 2000
% 0.85/1.25
% 0.85/1.25 prologoutput = 1
% 0.85/1.25 nrgoals = 5000000
% 0.85/1.25 totalproof = 1
% 0.85/1.25
% 0.85/1.25 Symbols occurring in the translation:
% 0.85/1.25
% 0.85/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.25 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.85/1.25 ! [4, 1] (w:0, o:119, a:1, s:1, b:0),
% 0.85/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.25 'c_List_Oreplicate' [43, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Odrop' [44, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.85/1.25 'tc_nat' [45, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus' [46, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Orotate' [49, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.85/1.25 'tc_List_Olist' [50, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.85/1.25 'c_Nat_Osize__class_Osize' [51, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.85/1.25 'c_Divides_Odiv__class_Omod' [52, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Otake' [54, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.85/1.25 'c_List_OdropWhile' [56, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.85/1.25 'c_lessequals' [57, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.85/1.25 'c_List_OtakeWhile' [58, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Olist__update' [59, 4] (w:1, o:202, a:1, s:1, b:0),
% 0.85/1.25 'c_Lambda_OdB_OApp' [61, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.85/1.25 hAPP [63, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.85/1.25 'c_Type_Otyping' [66, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.85/1.25 'c_Type_Otype_OFun' [68, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.85/1.25 'class_Orderings_Olinorder' [69, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Olist_OCons' [72, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Olinorder__class_Osorted' [73, 2] (w:1, o:172, a:1, s:1, b:0)
% 0.85/1.25 ,
% 0.85/1.25 'c_List_Ofilter' [74, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.85/1.25 'c_List_Orev' [76, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.85/1.25 'class_OrderedGroup_Opordered__ab__group__add' [77, 1] (w:1, o:126
% 0.85/1.25 , a:1, s:1, b:0),
% 0.85/1.25 'class_Orderings_Opreorder' [80, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.85/1.25 'class_Orderings_Oorder' [81, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.85/1.25 hBOOL [84, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero' [85, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.85/1.25 'class_Lattices_Olower__semilattice' [90, 1] (w:1, o:131, a:1, s:1
% 0.85/1.25 , b:0),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf' [91, 3] (w:1, o:192, a:1
% 0.85/1.25 , s:1, b:0),
% 0.85/1.25 'class_Lattices_Olattice' [94, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.85/1.25 'class_Divides_Oring__div' [95, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.85/1.25 'class_Ring__and__Field_Oidom' [99, 1] (w:1, o:134, a:1, s:1, b:0),
% 5.13/5.50 'class_Int_Onumber__ring' [100, 1] (w:1, o:135, a:1, s:1, b:0),
% 5.13/5.50 'class_OrderedGroup_Ogroup__add' [101, 1] (w:1, o:136, a:1, s:1, b:0)
% 5.13/5.50 ,
% 5.13/5.50 'class_OrderedGroup_Oab__group__add' [102, 1] (w:1, o:137, a:1, s:1
% 5.13/5.50 , b:0),
% 5.13/5.50 'class_Divides_Osemiring__div' [103, 1] (w:1, o:138, a:1, s:1, b:0),
% 5.13/5.50
% 5.13/5.50 'class_Int_Oring__char__0' [106, 1] (w:1, o:139, a:1, s:1, b:0),
% 5.13/5.50 'c_Int_Onumber__class_Onumber__of' [107, 2] (w:1, o:174, a:1, s:1, b:
% 5.13/5.50 0),
% 5.13/5.50 'c_List_Olist_ONil' [109, 1] (w:1, o:140, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Oappend' [112, 3] (w:1, o:193, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Odistinct' [115, 2] (w:1, o:175, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Omap__filter' [118, 5] (w:1, o:213, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Omap' [119, 4] (w:1, o:204, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Olist__all2' [120, 5] (w:1, o:211, a:1, s:1, b:0),
% 5.13/5.50 'c_Lambda_Olift' [121, 0] (w:1, o:81, a:1, s:1, b:0),
% 5.13/5.50 'c_ListOrder_Ostep1' [123, 4] (w:1, o:205, a:1, s:1, b:0),
% 5.13/5.50 'c_Lambda_OdB_OVar' [125, 1] (w:1, o:141, a:1, s:1, b:0),
% 5.13/5.50 'c_Fun_Ocomp' [128, 5] (w:1, o:214, a:1, s:1, b:0),
% 5.13/5.50 'c_Lambda_OdB_OAbs' [131, 1] (w:1, o:142, a:1, s:1, b:0),
% 5.13/5.50 'c_InductTermi_OIT' [132, 0] (w:1, o:88, a:1, s:1, b:0),
% 5.13/5.50 'tc_Lambda_OdB' [134, 0] (w:1, o:89, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Ofoldl' [135, 5] (w:1, o:215, a:1, s:1, b:0),
% 5.13/5.50 'c_Lambda_Osubst' [136, 0] (w:1, o:90, a:1, s:1, b:0),
% 5.13/5.50 'c_Type_Oshift' [137, 4] (w:1, o:206, a:1, s:1, b:0),
% 5.13/5.50 'tc_bool' [141, 0] (w:1, o:94, a:1, s:1, b:0),
% 5.13/5.50 'tc_fun' [142, 2] (w:1, o:176, a:1, s:1, b:0),
% 5.13/5.50 'v_T____' [144, 0] (w:1, o:96, a:1, s:1, b:0),
% 5.13/5.50 'tc_Type_Otype' [148, 0] (w:1, o:97, a:1, s:1, b:0),
% 5.13/5.50 'c_Type_Osko__Type__Xvar__app__types__1__1' [151, 4] (w:1, o:207, a:1
% 5.13/5.50 , s:1, b:0),
% 5.13/5.50 'c_Type_Otypings' [152, 3] (w:1, o:194, a:1, s:1, b:0),
% 5.13/5.50 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [154, 4] (w:1, o:208, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'v_ea______' [155, 0] (w:1, o:98, a:1, s:1, b:0),
% 5.13/5.50 'v_ua______' [156, 0] (w:1, o:99, a:1, s:1, b:0),
% 5.13/5.50 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [157, 4] (w:1, o:210, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [158, 4] (w:1, o:209, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'v_e____' [159, 0] (w:1, o:100, a:1, s:1, b:0),
% 5.13/5.50 'v_u____' [160, 0] (w:1, o:101, a:1, s:1, b:0),
% 5.13/5.50 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [162, 3] (w:
% 5.13/5.50 1, o:195, a:1, s:1, b:0),
% 5.13/5.50 'c_Lambda_Obeta' [163, 2] (w:1, o:177, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Olist__all' [164, 3] (w:1, o:196, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Olist__ex' [165, 3] (w:1, o:197, a:1, s:1, b:0),
% 5.13/5.50 't_b' [169, 0] (w:1, o:104, a:1, s:1, b:0),
% 5.13/5.50 't_a' [170, 0] (w:1, o:103, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Olist_Olist__case' [171, 5] (w:1, o:212, a:1, s:1, b:0),
% 5.13/5.50 'c_List_OremoveAll' [172, 3] (w:1, o:198, a:1, s:1, b:0),
% 5.13/5.50 'c_fequal' [173, 1] (w:1, o:143, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Oremove1' [175, 3] (w:1, o:199, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Olistrelp' [177, 4] (w:1, o:203, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Olistsp' [180, 3] (w:1, o:200, a:1, s:1, b:0),
% 5.13/5.50 'c_List_OListMem' [198, 3] (w:1, o:201, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__Xmap__eq__Cons__conv__1__1' [199, 6] (w:1, o:220
% 5.13/5.50 , a:1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__Xmap__eq__Cons__conv__1__2' [200, 6] (w:1, o:221
% 5.13/5.50 , a:1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__XCons__eq__map__conv__1__1' [201, 6] (w:1, o:222
% 5.13/5.50 , a:1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__XCons__eq__map__conv__1__2' [202, 6] (w:1, o:223
% 5.13/5.50 , a:1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__Xmap__eq__Cons__D__1__1' [203, 6] (w:1, o:224, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__Xmap__eq__Cons__D__1__2' [204, 6] (w:1, o:225, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__XCons__eq__map__D__1__1' [205, 6] (w:1, o:226, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__XCons__eq__map__D__1__2' [206, 6] (w:1, o:227, a:
% 5.13/5.50 1, s:1, b:0),
% 5.13/5.50 'c_COMBC' [207, 5] (w:1, o:216, a:1, s:1, b:0),
% 5.13/5.50 'c_List_Osko__List__Xmap__idI__1__1' [208, 3] (w:1, o:183, a:1, s:1
% 17.82/18.19 , b:0),
% 17.82/18.19 'c_List_Osko__List__Xmap__ext__1__1' [209, 5] (w:1, o:217, a:1, s:1
% 17.82/18.19 , b:0),
% 17.82/18.19 'c_List_Osko__List__Xmap__cong__1__1' [210, 5] (w:1, o:218, a:1, s:1
% 17.82/18.19 , b:0),
% 17.82/18.19 'c_List_Osko__List__Xmap__eq__conv__1__1' [211, 5] (w:1, o:219, a:1
% 17.82/18.19 , s:1, b:0),
% 17.82/18.19 'c_List_Osko__List__Xin__listsp__conv__set__1__1' [212, 3] (w:1, o:
% 17.82/18.19 184, a:1, s:1, b:0),
% 17.82/18.19 'v_a____' [213, 0] (w:1, o:108, a:1, s:1, b:0),
% 17.82/18.19 'v_n____' [218, 0] (w:1, o:109, a:1, s:1, b:0),
% 17.82/18.19 'v_i____' [219, 0] (w:1, o:110, a:1, s:1, b:0),
% 17.82/18.19 'v_as____' [222, 0] (w:1, o:113, a:1, s:1, b:0),
% 17.82/18.19 'tc_Int_Oint' [225, 0] (w:1, o:116, a:1, s:1, b:0),
% 17.82/18.19 'c_COMBB' [226, 6] (w:1, o:228, a:1, s:1, b:0).
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Starting Search:
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 6670
% 17.82/18.19 Kept: 2150
% 17.82/18.19 Inuse: 165
% 17.82/18.19 Deleted: 2
% 17.82/18.19 Deletedinuse: 1
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 14766
% 17.82/18.19 Kept: 4157
% 17.82/18.19 Inuse: 219
% 17.82/18.19 Deleted: 3
% 17.82/18.19 Deletedinuse: 1
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 24355
% 17.82/18.19 Kept: 6170
% 17.82/18.19 Inuse: 272
% 17.82/18.19 Deleted: 7
% 17.82/18.19 Deletedinuse: 5
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 33396
% 17.82/18.19 Kept: 8253
% 17.82/18.19 Inuse: 291
% 17.82/18.19 Deleted: 27
% 17.82/18.19 Deletedinuse: 7
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 42201
% 17.82/18.19 Kept: 10295
% 17.82/18.19 Inuse: 317
% 17.82/18.19 Deleted: 72
% 17.82/18.19 Deletedinuse: 8
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 56160
% 17.82/18.19 Kept: 12806
% 17.82/18.19 Inuse: 382
% 17.82/18.19 Deleted: 73
% 17.82/18.19 Deletedinuse: 9
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 64663
% 17.82/18.19 Kept: 14868
% 17.82/18.19 Inuse: 402
% 17.82/18.19 Deleted: 83
% 17.82/18.19 Deletedinuse: 9
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 73219
% 17.82/18.19 Kept: 16892
% 17.82/18.19 Inuse: 451
% 17.82/18.19 Deleted: 103
% 17.82/18.19 Deletedinuse: 10
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 82469
% 17.82/18.19 Kept: 18916
% 17.82/18.19 Inuse: 491
% 17.82/18.19 Deleted: 174
% 17.82/18.19 Deletedinuse: 69
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying clauses:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 96582
% 17.82/18.19 Kept: 21414
% 17.82/18.19 Inuse: 511
% 17.82/18.19 Deleted: 3150
% 17.82/18.19 Deletedinuse: 69
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 106040
% 17.82/18.19 Kept: 24786
% 17.82/18.19 Inuse: 551
% 17.82/18.19 Deleted: 3150
% 17.82/18.19 Deletedinuse: 69
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 115097
% 17.82/18.19 Kept: 26816
% 17.82/18.19 Inuse: 591
% 17.82/18.19 Deleted: 3153
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 129715
% 17.82/18.19 Kept: 28921
% 17.82/18.19 Inuse: 615
% 17.82/18.19 Deleted: 3153
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 137325
% 17.82/18.19 Kept: 30958
% 17.82/18.19 Inuse: 645
% 17.82/18.19 Deleted: 3153
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 154936
% 17.82/18.19 Kept: 33315
% 17.82/18.19 Inuse: 670
% 17.82/18.19 Deleted: 3153
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 166148
% 17.82/18.19 Kept: 35320
% 17.82/18.19 Inuse: 724
% 17.82/18.19 Deleted: 3154
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 175372
% 17.82/18.19 Kept: 37391
% 17.82/18.19 Inuse: 769
% 17.82/18.19 Deleted: 3154
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 188669
% 17.82/18.19 Kept: 40483
% 17.82/18.19 Inuse: 804
% 17.82/18.19 Deleted: 3154
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying clauses:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 200884
% 17.82/18.19 Kept: 43223
% 17.82/18.19 Inuse: 824
% 17.82/18.19 Deleted: 4210
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 217823
% 17.82/18.19 Kept: 45830
% 17.82/18.19 Inuse: 864
% 17.82/18.19 Deleted: 4210
% 17.82/18.19 Deletedinuse: 71
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19 Resimplifying inuse:
% 17.82/18.19 Done
% 17.82/18.19
% 17.82/18.19
% 17.82/18.19 Intermediate Status:
% 17.82/18.19 Generated: 235169
% 19.63/20.00 Kept: 47971
% 19.63/20.00 Inuse: 879
% 19.63/20.00 Deleted: 4210
% 19.63/20.00 Deletedinuse: 71
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 253352
% 19.63/20.00 Kept: 50014
% 19.63/20.00 Inuse: 894
% 19.63/20.00 Deleted: 4210
% 19.63/20.00 Deletedinuse: 71
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 262817
% 19.63/20.00 Kept: 52152
% 19.63/20.00 Inuse: 919
% 19.63/20.00 Deleted: 4210
% 19.63/20.00 Deletedinuse: 71
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 276619
% 19.63/20.00 Kept: 55497
% 19.63/20.00 Inuse: 929
% 19.63/20.00 Deleted: 4212
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 285010
% 19.63/20.00 Kept: 57498
% 19.63/20.00 Inuse: 947
% 19.63/20.00 Deleted: 4212
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 295242
% 19.63/20.00 Kept: 60513
% 19.63/20.00 Inuse: 959
% 19.63/20.00 Deleted: 4212
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 303583
% 19.63/20.00 Kept: 62889
% 19.63/20.00 Inuse: 974
% 19.63/20.00 Deleted: 4212
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying clauses:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 317191
% 19.63/20.00 Kept: 65627
% 19.63/20.00 Inuse: 984
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 338483
% 19.63/20.00 Kept: 68006
% 19.63/20.00 Inuse: 1009
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 352509
% 19.63/20.00 Kept: 70028
% 19.63/20.00 Inuse: 1055
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 370441
% 19.63/20.00 Kept: 73036
% 19.63/20.00 Inuse: 1089
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 390795
% 19.63/20.00 Kept: 75365
% 19.63/20.00 Inuse: 1100
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 403035
% 19.63/20.00 Kept: 77567
% 19.63/20.00 Inuse: 1114
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 415210
% 19.63/20.00 Kept: 79655
% 19.63/20.00 Inuse: 1144
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 444471
% 19.63/20.00 Kept: 82881
% 19.63/20.00 Inuse: 1149
% 19.63/20.00 Deleted: 4484
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying clauses:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 469891
% 19.63/20.00 Kept: 86441
% 19.63/20.00 Inuse: 1184
% 19.63/20.00 Deleted: 4566
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 485269
% 19.63/20.00 Kept: 88485
% 19.63/20.00 Inuse: 1219
% 19.63/20.00 Deleted: 4566
% 19.63/20.00 Deletedinuse: 73
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 497501
% 19.63/20.00 Kept: 90496
% 19.63/20.00 Inuse: 1239
% 19.63/20.00 Deleted: 4570
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 510436
% 19.63/20.00 Kept: 92531
% 19.63/20.00 Inuse: 1254
% 19.63/20.00 Deleted: 4570
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 528551
% 19.63/20.00 Kept: 94731
% 19.63/20.00 Inuse: 1294
% 19.63/20.00 Deleted: 4570
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 543334
% 19.63/20.00 Kept: 97074
% 19.63/20.00 Inuse: 1319
% 19.63/20.00 Deleted: 4570
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 555632
% 19.63/20.00 Kept: 99104
% 19.63/20.00 Inuse: 1338
% 19.63/20.00 Deleted: 4570
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 564425
% 19.63/20.00 Kept: 101182
% 19.63/20.00 Inuse: 1352
% 19.63/20.00 Deleted: 4570
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying clauses:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 574783
% 19.63/20.00 Kept: 103219
% 19.63/20.00 Inuse: 1373
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 585191
% 19.63/20.00 Kept: 105228
% 19.63/20.00 Inuse: 1387
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 599137
% 19.63/20.00 Kept: 107428
% 19.63/20.00 Inuse: 1409
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 612036
% 19.63/20.00 Kept: 109611
% 19.63/20.00 Inuse: 1429
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 635329
% 19.63/20.00 Kept: 112935
% 19.63/20.00 Inuse: 1444
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 652028
% 19.63/20.00 Kept: 114972
% 19.63/20.00 Inuse: 1454
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Intermediate Status:
% 19.63/20.00 Generated: 665658
% 19.63/20.00 Kept: 117712
% 19.63/20.00 Inuse: 1469
% 19.63/20.00 Deleted: 4925
% 19.63/20.00 Deletedinuse: 77
% 19.63/20.00
% 19.63/20.00 Resimplifying inuse:
% 19.63/20.00 Done
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 Bliksems!, er is een bewijs:
% 19.63/20.00 % SZS status Unsatisfiable
% 19.63/20.00 % SZS output start Refutation
% 19.63/20.00
% 19.63/20.00 clause( 381, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W )
% 19.63/20.00 , Y ) ) ] )
% 19.63/20.00 .
% 19.63/20.00 clause( 383, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U )
% 19.63/20.00 , 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) )
% 19.63/20.00 ] )
% 19.63/20.00 .
% 19.63/20.00 clause( 386, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'(
% 19.63/20.00 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ), 'v_u____' ), 'v_i____'
% 19.63/20.00 ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 19.63/20.00 , 'v_i____', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' )
% 19.63/20.00 ] )
% 19.63/20.00 .
% 19.63/20.00 clause( 387, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.00 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Olist_OCons'(
% 19.63/20.00 'v_a____', 'v_as____', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.00 .
% 19.63/20.00 clause( 117871, [] )
% 19.63/20.00 .
% 19.63/20.00
% 19.63/20.00
% 19.63/20.00 % SZS output end Refutation
% 19.63/20.00 found a proof!
% 19.63/20.00
% 19.63/20.00 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 19.63/20.00
% 19.63/20.00 initialclauses(
% 19.63/20.00 [ clause( 117873, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 19.63/20.00 ), 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 19.63/20.00 Z, T ) ) ] )
% 19.63/20.00 , clause( 117874, [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Orotate'(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ) ) ] )
% 19.63/20.00 , clause( 117875, [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ),
% 19.63/20.00 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 19.63/20.00 'c_List_Odrop'( X, Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 117876, [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'(
% 19.63/20.00 'c_List_OdropWhile'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117877, [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'(
% 19.63/20.00 'c_List_OtakeWhile'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117878, [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~(
% 19.63/20.00 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y
% 19.63/20.00 , 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117879, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y
% 19.63/20.00 ), Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y
% 19.63/20.00 , 'c_Type_Otype_OFun'( U, T ) ) ) ] )
% 19.63/20.00 , clause( 117880, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z
% 19.63/20.00 ), 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117881, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 19.63/20.00 'c_List_Olist_OCons'( Z, T, X ), X ), X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, T, X ), X ) )
% 19.63/20.00 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 117882, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 19.63/20.00 Y, Z, X ), ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y
% 19.63/20.00 , 'c_List_Olist_OCons'( Z, T, X ), X ), X ) ) ] )
% 19.63/20.00 , clause( 117883, [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'(
% 19.63/20.00 'c_List_Ofilter'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117884, [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117885, [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'(
% 19.63/20.00 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117886, [ =( 'c_List_Orotate'( X, 'c_List_Orev'( Y, Z ), Z ),
% 19.63/20.00 'c_List_Orev'( 'c_List_Orotate'( 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'tc_nat' ), Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 117887, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 19.63/20.00 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 19.63/20.00 , clause( 117888, [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X
% 19.63/20.00 , 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117889, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 19.63/20.00 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 19.63/20.00 ~( 'c_lessequals'( U, T, X ) ) ] )
% 19.63/20.00 , clause( 117890, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 19.63/20.00 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 19.63/20.00 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 19.63/20.00 , clause( 117891, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 19.63/20.00 Y, Y, X ) ] )
% 19.63/20.00 , clause( 117892, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 19.63/20.00 Y, X ) ] )
% 19.63/20.00 , clause( 117893, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117894, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z
% 19.63/20.00 , Y, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117895, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117896, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 19.63/20.00 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 117897, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 19.63/20.00 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117898, [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 19.63/20.00 'tc_nat' ) ) ) ] )
% 19.63/20.00 , clause( 117899, [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 19.63/20.00 , Y ) ) ] )
% 19.63/20.00 , clause( 117900, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 19.63/20.00 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117901, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 19.63/20.00 Z, T ) ) ), =( X, Z ) ] )
% 19.63/20.00 , clause( 117902, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 19.63/20.00 Z, T ) ) ), =( Y, T ) ] )
% 19.63/20.00 , clause( 117903, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 19.63/20.00 Y, X ) ] )
% 19.63/20.00 , clause( 117904, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 19.63/20.00 Z, X ) ] )
% 19.63/20.00 , clause( 117905, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 19.63/20.00 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117906, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 19.63/20.00 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117907, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 19.63/20.00 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117908, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 19.63/20.00 , clause( 117909, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 19.63/20.00 , clause( 117910, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 19.63/20.00 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 117911, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 19.63/20.00 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 , X ) ) ] )
% 19.63/20.00 , clause( 117912, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 19.63/20.00 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 19.63/20.00 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 19.63/20.00 X ), Z, X ) ) ] )
% 19.63/20.00 , clause( 117913, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 19.63/20.00 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 19.63/20.00 , clause( 117914, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 19.63/20.00 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 117915, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 19.63/20.00 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 117916, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ] )
% 19.63/20.00 , clause( 117917, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~(
% 19.63/20.00 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117918, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 19.63/20.00 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117919, [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 19.63/20.00 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117920, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 19.63/20.00 , clause( 117921, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117922, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 19.63/20.00 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 19.63/20.00 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 19.63/20.00 , clause( 117923, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 117924, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 117925, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 117926, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 117927, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 117928, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 117929, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 19.63/20.00 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117930, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 19.63/20.00 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117931, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 19.63/20.00 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 117932, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 19.63/20.00 , clause( 117933, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 19.63/20.00 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 19.63/20.00 , clause( 117934, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 19.63/20.00 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 19.63/20.00 , clause( 117935, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 19.63/20.00 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 19.63/20.00 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117936, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 19.63/20.00 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 19.63/20.00 ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117937, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 19.63/20.00 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 19.63/20.00 ~( 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat'
% 19.63/20.00 ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117938, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 19.63/20.00 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 117939, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 19.63/20.00 , T, X ) ) ), =( Y, Z ) ] )
% 19.63/20.00 , clause( 117940, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 19.63/20.00 , T, X ) ) ), =( Z, T ) ] )
% 19.63/20.00 , clause( 117941, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 19.63/20.00 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ] )
% 19.63/20.00 , clause( 117942, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 19.63/20.00 'class_Int_Onumber__ring'( X ) ), ~( =(
% 19.63/20.00 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 19.63/20.00 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 19.63/20.00 , clause( 117943, [ =( 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117944, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 19.63/20.00 'c_lessequals'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 117945, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 19.63/20.00 'c_lessequals'( Y, Z, X ) ] )
% 19.63/20.00 , clause( 117946, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 19.63/20.00 'c_lessequals'( Z, Y, X ) ) ] )
% 19.63/20.00 , clause( 117947, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 19.63/20.00 'tc_nat' ), X, 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117948, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 19.63/20.00 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 19.63/20.00 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 19.63/20.00 , clause( 117949, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 ) ), =( Y, Z ) ] )
% 19.63/20.00 , clause( 117950, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 19.63/20.00 ) ), =( Y, Z ) ] )
% 19.63/20.00 , clause( 117951, [ =( 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 19.63/20.00 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117952, [ =( 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 19.63/20.00 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117953, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 19.63/20.00 , X, 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117954, [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 19.63/20.00 'tc_nat' ), X, 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117955, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 19.63/20.00 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 19.63/20.00 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 19.63/20.00 , T, X ), X ), T, X ) ) ] )
% 19.63/20.00 , clause( 117956, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 19.63/20.00 , clause( 117957, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 19.63/20.00 , clause( 117958, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 19.63/20.00 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 19.63/20.00 , clause( 117959, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 19.63/20.00 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 19.63/20.00 , clause( 117960, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 19.63/20.00 , clause( 117961, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 19.63/20.00 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 19.63/20.00 , clause( 117962, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), Y ), ~(
% 19.63/20.00 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117963, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 19.63/20.00 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 19.63/20.00 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 19.63/20.00 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ] )
% 19.63/20.00 , clause( 117964, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 19.63/20.00 ) ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 19.63/20.00 ) ), X, 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117965, [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z )
% 19.63/20.00 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 19.63/20.00 ) ), X, 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117966, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 19.63/20.00 , U, Z ) ) ), =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T,
% 19.63/20.00 'tc_List_Olist'( Z ) ), X, Z ), T ), 'c_lessequals'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117967, [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T )
% 19.63/20.00 , 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 117968, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 19.63/20.00 , U, Z ) ) ), =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 19.63/20.00 'tc_List_Olist'( Z ) ), T, Z ) ), ~( 'c_lessequals'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 117969, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 19.63/20.00 , U, Z ) ) ), =( Y, 'c_List_Oappend'( 'c_List_Odrop'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ),
% 19.63/20.00 ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) )
% 19.63/20.00 , 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 117970, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 19.63/20.00 , U, Z ) ) ), =( 'c_List_Oappend'( 'c_List_Odrop'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U
% 19.63/20.00 ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) )
% 19.63/20.00 , 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 19.63/20.00 , clause( 117971, [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T )
% 19.63/20.00 , 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 19.63/20.00 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 117972, [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ),
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Orotate'( X, Y, Z
% 19.63/20.00 ), Y ) ] )
% 19.63/20.00 , clause( 117973, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 117974, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 19.63/20.00 'c_List_Oappend'( X, Z, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 117975, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 19.63/20.00 'c_List_Oappend'( Z, X, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 117976, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 117977, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 19.63/20.00 , clause( 117978, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 19.63/20.00 , clause( 117979, [ =( 'c_List_OdropWhile'( X, 'c_List_Olist_ONil'( Y ), Y
% 19.63/20.00 ), 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 117980, [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 19.63/20.00 'tc_List_Olist'( Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 117981, [ 'c_List_Odistinct'( 'c_List_OdropWhile'( X, Y, Z ), Z )
% 19.63/20.00 , ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 117982, [ =( 'c_List_Omap__filter'( X, Y, Z, T, U ),
% 19.63/20.00 'c_List_Omap'( X, 'c_List_Ofilter'( Y, Z, T ), T, U ) ) ] )
% 19.63/20.00 , clause( 117983, [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~(
% 19.63/20.00 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, T ), 'c_List_Orev'( Z, U ), T
% 19.63/20.00 , U ) ) ] )
% 19.63/20.00 , clause( 117984, [ 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, Z ),
% 19.63/20.00 'c_List_Orev'( T, U ), Z, U ), ~( 'c_List_Olist__all2'( X, Y, T, Z, U ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 117985, [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 19.63/20.00 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 19.63/20.00 hAPP( hAPP( 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y
% 19.63/20.00 ), Z ) ) ) ] )
% 19.63/20.00 , clause( 117986, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 19.63/20.00 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 19.63/20.00 , clause( 117987, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~(
% 19.63/20.00 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 19.63/20.00 'c_List_Olist_ONil'( U ), U ), U ), 'c_List_Oappend'( W,
% 19.63/20.00 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ] )
% 19.63/20.00 , clause( 117988, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 19.63/20.00 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 19.63/20.00 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 19.63/20.00 , clause( 117989, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 19.63/20.00 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 19.63/20.00 , clause( 117990, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 19.63/20.00 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 117991, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 19.63/20.00 hAPP( Y, W ) ) ) ] )
% 19.63/20.00 , clause( 117992, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y,
% 19.63/20.00 T, U, W ), Z ) ) ] )
% 19.63/20.00 , clause( 117993, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y
% 19.63/20.00 ) ) ) ] )
% 19.63/20.00 , clause( 117994, [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y )
% 19.63/20.00 ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( U, X, Z, Y, T ) ) ] )
% 19.63/20.00 , clause( 117995, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z
% 19.63/20.00 , Y ) ) ] )
% 19.63/20.00 , clause( 117996, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z )
% 19.63/20.00 , Z ) ) ] )
% 19.63/20.00 , clause( 117997, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 19.63/20.00 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 19.63/20.00 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 19.63/20.00 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 19.63/20.00 , 'tc_Lambda_OdB' ) ) ) ) ] )
% 19.63/20.00 , clause( 117998, [ =( 'c_List_Ofilter'( X, 'c_List_Oreplicate'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Oreplicate'( Y, Z, T ) ), ~( hBOOL( hAPP( X, Z ) ) ) ] )
% 19.63/20.00 , clause( 117999, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T,
% 19.63/20.00 Z ), Y ) ] )
% 19.63/20.00 , clause( 118000, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 19.63/20.00 , clause( 118001, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 19.63/20.00 , clause( 118002, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 19.63/20.00 , clause( 118003, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 19.63/20.00 , clause( 118004, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 19.63/20.00 , clause( 118005, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 19.63/20.00 , clause( 118006, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 19.63/20.00 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 19.63/20.00 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 19.63/20.00 , clause( 118007, [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL(
% 19.63/20.00 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 19.63/20.00 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 19.63/20.00 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 19.63/20.00 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 19.63/20.00 ) ) ) ] )
% 19.63/20.00 , clause( 118008, [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL(
% 19.63/20.00 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 19.63/20.00 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 19.63/20.00 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 19.63/20.00 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 19.63/20.00 ) ) ) ] )
% 19.63/20.00 , clause( 118009, [ 'c_Type_Otypings'( X, Y,
% 19.63/20.00 'c_Type_Osko__Type__Xvar__app__types__1__1'( Z, T, X, Y ) ), ~(
% 19.63/20.00 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ) ),
% 19.63/20.00 ~( 'c_Type_Otypings'( X, W, V0 ) ), ~( 'c_Type_Otyping'( X,
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 19.63/20.00 , clause( 118010, [ 'c_Type_Otypings'( X, Y,
% 19.63/20.00 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, T, Y ) ), ~(
% 19.63/20.00 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118011, [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Oappend'(
% 19.63/20.00 'c_List_Odrop'( 'c_Divides_Odiv__class_Omod'( X,
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z )
% 19.63/20.00 , 'c_List_Otake'( 'c_Divides_Odiv__class_Omod'( X,
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z )
% 19.63/20.00 , Z ) ) ] )
% 19.63/20.00 , clause( 118012, [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____'
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118013, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ),
% 19.63/20.00 'c_Type_Otype_OFun'( Z, T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118014, [ 'c_Type_Otypings'( X, Y,
% 19.63/20.00 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, T, Y ) ), ~(
% 19.63/20.00 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 19.63/20.00 , clause( 118015, [ 'c_Type_Otypings'( X, Y,
% 19.63/20.00 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, T, Y ) ), ~(
% 19.63/20.00 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 19.63/20.00 , clause( 118016, [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 19.63/20.00 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'(
% 19.63/20.00 Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118017, [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ),
% 19.63/20.00 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'(
% 19.63/20.00 Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118018, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118019, [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X
% 19.63/20.00 , 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 19.63/20.00 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 19.63/20.00 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 19.63/20.00 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 118020, [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 19.63/20.00 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), 'c_lessequals'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =(
% 19.63/20.00 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X, 'c_List_Oappend'(
% 19.63/20.00 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 19.63/20.00 , Y ), T, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118021, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( Y ),
% 19.63/20.00 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'(
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), Z,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ) ] )
% 19.63/20.00 , clause( 118022, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 19.63/20.00 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 19.63/20.00 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 19.63/20.00 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ] )
% 19.63/20.00 , clause( 118023, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ),
% 19.63/20.00 Y ) ] )
% 19.63/20.00 , clause( 118024, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118025, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118026, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 19.63/20.00 X ) ] )
% 19.63/20.00 , clause( 118027, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 19.63/20.00 'tc_List_Olist'( Z ) ), Y, Z ) ) ] )
% 19.63/20.00 , clause( 118028, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 19.63/20.00 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118029, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 19.63/20.00 , clause( 118030, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X
% 19.63/20.00 , T, Z ) ) ), =( Y, T ) ] )
% 19.63/20.00 , clause( 118031, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 19.63/20.00 , Y, Z ) ) ), =( X, T ) ] )
% 19.63/20.00 , clause( 118032, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 19.63/20.00 'c_List_Oreplicate'( T, U, Z ) ) ), =( X, T ) ] )
% 19.63/20.00 , clause( 118033, [ 'c_List_Olist__all'( X, 'c_List_Olist_ONil'( Y ), Y ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118034, [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z,
% 19.63/20.00 T ), T ), 'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Y ) ) ] )
% 19.63/20.00 , clause( 118035, [ ~( 'c_List_Olist__ex'( X, 'c_List_Olist_ONil'( Y ), Y )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118036, [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ),
% 19.63/20.00 'c_List_Oappend'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 118037, [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ),
% 19.63/20.00 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z
% 19.63/20.00 , U, T ), T ) ] )
% 19.63/20.00 , clause( 118038, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y )
% 19.63/20.00 , Y ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 19.63/20.00 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118039, [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z,
% 19.63/20.00 'c_List_Olist_ONil'( 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X, Y ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 118040, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 19.63/20.00 , clause( 118041, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 19.63/20.00 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118042, [ 'c_List_Olist__all2'( X, 'c_List_Otake'( Y, Z, T ),
% 19.63/20.00 'c_List_Otake'( Y, U, W ), T, W ), ~( 'c_List_Olist__all2'( X, Z, U, T, W
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118043, [ =( 'c_List_OremoveAll'( X, 'c_List_Ofilter'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Ofilter'( Y, Z, T ) ), hBOOL( hAPP( Y, X ) ) ] )
% 19.63/20.00 , clause( 118044, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 19.63/20.00 , 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 19.63/20.00 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118045, [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X
% 19.63/20.00 , Y, Z, Z ) ) ] )
% 19.63/20.00 , clause( 118046, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ] )
% 19.63/20.00 , clause( 118047, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 19.63/20.00 ), X, Y ), X ) ] )
% 19.63/20.00 , clause( 118048, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'(
% 19.63/20.00 X, T, U, W ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T,
% 19.63/20.00 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( W ), W ), W ),
% 19.63/20.00 'c_List_Oappend'( U, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 19.63/20.00 ), W ), W ) ) ] )
% 19.63/20.00 , clause( 118049, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 19.63/20.00 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 19.63/20.00 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118050, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 19.63/20.00 , Y ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 19.63/20.00 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118051, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 19.63/20.00 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 19.63/20.00 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 19.63/20.00 , clause( 118052, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 19.63/20.00 , clause( 118053, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 19.63/20.00 , clause( 118054, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X
% 19.63/20.00 , Y ) ) ] )
% 19.63/20.00 , clause( 118055, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 19.63/20.00 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 19.63/20.00 , clause( 118056, [ 'c_List_Olist__all2'( X, 'c_List_Oappend'( Y, Z, T ),
% 19.63/20.00 'c_List_Oappend'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z, W,
% 19.63/20.00 T, V0 ) ), ~( 'c_List_Olist__all2'( X, Y, U, T, V0 ) ) ] )
% 19.63/20.00 , clause( 118057, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Y ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( W, 'tc_List_Olist'( T ) ) ) ),
% 19.63/20.00 'c_List_Olist__all2'( V0, 'c_List_Oappend'( U, X, Y ), 'c_List_Oappend'(
% 19.63/20.00 W, Z, T ), Y, T ), ~( 'c_List_Olist__all2'( V0, X, Z, Y, T ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( V0, U, W, Y, T ) ) ] )
% 19.63/20.00 , clause( 118058, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Y ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( W, 'tc_List_Olist'( T ) ) ) ),
% 19.63/20.00 'c_List_Olist__all2'( V0, 'c_List_Oappend'( W, Z, T ), 'c_List_Oappend'(
% 19.63/20.00 U, X, Y ), T, Y ), ~( 'c_List_Olist__all2'( V0, Z, X, T, Y ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( V0, W, U, T, Y ) ) ] )
% 19.63/20.00 , clause( 118059, [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118060, [ 'c_List_Odistinct'( 'c_List_Ofilter'( X, Y, Z ), Z ),
% 19.63/20.00 ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118061, [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 19.63/20.00 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118062, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 19.63/20.00 ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ), =( X,
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 118063, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 19.63/20.00 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118064, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 19.63/20.00 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118065, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 19.63/20.00 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118066, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_OtakeWhile'( Y, Z, X ), X ),
% 19.63/20.00 ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 19.63/20.00 , clause( 118067, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 19.63/20.00 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 19.63/20.00 , clause( 118068, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 19.63/20.00 'c_List_Odrop'( X, Y, Z ), Z ), Y ) ] )
% 19.63/20.00 , clause( 118069, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil'( Y ), Y )
% 19.63/20.00 , 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118070, [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 19.63/20.00 , Y ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'(
% 19.63/20.00 Y, Z ) ) ] )
% 19.63/20.00 , clause( 118071, [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 19.63/20.00 , Y ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'(
% 19.63/20.00 X, Z ) ) ] )
% 19.63/20.00 , clause( 118072, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y
% 19.63/20.00 ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 19.63/20.00 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 19.63/20.00 , clause( 118073, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 19.63/20.00 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 19.63/20.00 'tc_nat' ), Z, Y ) ) ] )
% 19.63/20.00 , clause( 118074, [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 19.63/20.00 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118075, [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~(
% 19.63/20.00 'c_List_Odistinct'( X, Y ) ) ] )
% 19.63/20.00 , clause( 118076, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 19.63/20.00 'c_List_Orev'( X, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118077, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 19.63/20.00 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118078, [ =( 'c_List_Olist_Olist__case'( X, Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ), T, Z ), X ) ] )
% 19.63/20.00 , clause( 118079, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) )
% 19.63/20.00 ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118080, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ),
% 19.63/20.00 'c_List_Olist__all2'( U, 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z
% 19.63/20.00 , V0, T ), Y, T ), ~( 'c_List_Olist__all2'( U, W, V0, Y, T ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( U, X, Z, Y, T ) ) ] )
% 19.63/20.00 , clause( 118081, [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 19.63/20.00 ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118082, [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 19.63/20.00 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118083, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y,
% 19.63/20.00 Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'(
% 19.63/20.00 T, Y, Z ) ) ] )
% 19.63/20.00 , clause( 118084, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'(
% 19.63/20.00 X, Y, Z, T ), 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X,
% 19.63/20.00 'tc_List_Olist'( T ) ) ) ] )
% 19.63/20.00 , clause( 118085, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 19.63/20.00 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118086, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 19.63/20.00 ), 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 19.63/20.00 , Y ) ) ] )
% 19.63/20.00 , clause( 118087, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 19.63/20.00 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 19.63/20.00 'c_InductTermi_OIT', X ) ) ) ] )
% 19.63/20.00 , clause( 118088, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 19.63/20.00 'c_List_Oreplicate'( T, U, Z ) ) ), =( Y, U ), =( X,
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 118089, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 19.63/20.00 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 19.63/20.00 X, hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ] )
% 19.63/20.00 , clause( 118090, [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~(
% 19.63/20.00 'c_ListOrder_Ostep1'( Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U,
% 19.63/20.00 'c_List_Olist_ONil'( T ), T ), T ), 'c_List_Oappend'( Y,
% 19.63/20.00 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ] )
% 19.63/20.00 , clause( 118091, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 19.63/20.00 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 19.63/20.00 , clause( 118092, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 19.63/20.00 'tc_bool' ) ), Y ) ) ) ] )
% 19.63/20.00 , clause( 118093, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 19.63/20.00 'tc_bool' ) ), Y ) ) ) ] )
% 19.63/20.00 , clause( 118094, [ 'c_List_Olist__all'( X, 'c_List_Oappend'( Y, Z, T ), T
% 19.63/20.00 ), ~( 'c_List_Olist__all'( X, Z, T ) ), ~( 'c_List_Olist__all'( X, Y, T
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118095, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 19.63/20.00 'c_List_Olist_ONil'( X ), X ), X ) ] )
% 19.63/20.00 , clause( 118096, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 19.63/20.00 , clause( 118097, [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 19.63/20.00 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118098, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 19.63/20.00 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 19.63/20.00 , clause( 118099, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 19.63/20.00 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118100, [ 'c_List_Olistrelp'( X, 'c_List_Olist_ONil'( Y ),
% 19.63/20.00 'c_List_Olist_ONil'( Y ), Y ) ] )
% 19.63/20.00 , clause( 118101, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 19.63/20.00 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118102, [ 'c_List_Odistinct'( 'c_List_OtakeWhile'( X, Y, Z ), Z )
% 19.63/20.00 , ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118103, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 19.63/20.00 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118104, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ),
% 19.63/20.00 W, U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 118105, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 19.63/20.00 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118106, [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T
% 19.63/20.00 ), 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z
% 19.63/20.00 , T ), T ) ) ] )
% 19.63/20.00 , clause( 118107, [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ),
% 19.63/20.00 'c_List_Olist_ONil'( T ) ) ), =( X, 'c_List_Olist_ONil'( T ) ) ] )
% 19.63/20.00 , clause( 118108, [ 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, Z ), T, Z, U
% 19.63/20.00 ), ~( 'c_List_Olist__all2'( X, Y, 'c_List_Orev'( T, U ), Z, U ) ) ] )
% 19.63/20.00 , clause( 118109, [ 'c_List_Olist__all2'( X, Y, 'c_List_Orev'( Z, T ), U, T
% 19.63/20.00 ), ~( 'c_List_Olist__all2'( X, 'c_List_Orev'( Y, U ), Z, U, T ) ) ] )
% 19.63/20.00 , clause( 118110, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 19.63/20.00 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.00 , clause( 118111, [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z,
% 19.63/20.00 'c_List_Olist_OCons'( T, U, 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X
% 19.63/20.00 , hAPP( hAPP( Z, T ), U ) ) ) ] )
% 19.63/20.00 , clause( 118112, [ ~( hBOOL( hAPP( X, 'c_List_Olist_Olist__case'( Y, Z,
% 19.63/20.00 'c_List_Olist_OCons'( T, U, 't_b' ), 't_a', 't_b' ) ) ) ), hBOOL( hAPP( X
% 19.63/20.00 , hAPP( hAPP( Z, T ), U ) ) ) ] )
% 19.63/20.00 , clause( 118113, [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Ofilter'( X, Z, T ) ), hBOOL( hAPP( X, Y ) ) ] )
% 19.63/20.00 , clause( 118114, [ 'c_List_Olist__all'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 19.63/20.00 , T ), ~( 'c_List_Olist__all'( X, Z, T ) ), ~( hBOOL( hAPP( X, Y ) ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118115, [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T
% 19.63/20.00 ), 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z,
% 19.63/20.00 U, T ) ) ] )
% 19.63/20.00 , clause( 118116, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP(
% 19.63/20.00 X, U ), W ) ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T
% 19.63/20.00 ), 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 118117, [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( X, Y,
% 19.63/20.00 Z ), Z ), 'c_List_OremoveAll'( X, Y, Z ) ) ] )
% 19.63/20.00 , clause( 118118, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 19.63/20.00 , Z, X ) ) ) ] )
% 19.63/20.00 , clause( 118119, [ =( 'c_List_Omap__filter'( X, Y, 'c_List_Olist_OCons'( Z
% 19.63/20.00 , T, U ), U, W ), 'c_List_Olist_OCons'( hAPP( X, Z ),
% 19.63/20.00 'c_List_Omap__filter'( X, Y, T, U, W ), W ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 118120, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~(
% 19.63/20.00 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 19.63/20.00 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 118121, [ =( 'c_List_OdropWhile'( X, 'c_List_Olist_OCons'( Y, Z,
% 19.63/20.00 T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ), hBOOL( hAPP( X, Y ) ) ] )
% 19.63/20.00 , clause( 118122, [ =( 'c_List_OdropWhile'( X, 'c_List_Olist_OCons'( Y, Z,
% 19.63/20.00 T ), T ), 'c_List_OdropWhile'( X, Z, T ) ), ~( hBOOL( hAPP( X, Y ) ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118123, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 19.63/20.00 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 19.63/20.00 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 19.63/20.00 , clause( 118124, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 19.63/20.00 , X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118125, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 19.63/20.00 , X ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118126, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y
% 19.63/20.00 ) ) ), =( X, Y ) ] )
% 19.63/20.00 , clause( 118127, [ ~( =( 'c_List_OdropWhile'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 19.63/20.00 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118128, [ ~( =( X, 'c_List_Oappend'( 'c_List_OtakeWhile'( Y, X, Z
% 19.63/20.00 ), 'c_List_Olist_OCons'( T, U, Z ), Z ) ) ), =( 'c_List_OdropWhile'( Y,
% 19.63/20.00 X, Z ), 'c_List_Olist_OCons'( T, U, Z ) ), hBOOL( hAPP( Y, T ) ) ] )
% 19.63/20.00 , clause( 118129, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 19.63/20.00 Z ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118130, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 19.63/20.00 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118131, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X )
% 19.63/20.00 , 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 118132, [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X
% 19.63/20.00 , 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 19.63/20.00 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 19.63/20.00 , Y ), Y ), Z ) ] )
% 19.63/20.00 , clause( 118133, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 19.63/20.00 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 19.63/20.00 , clause( 118134, [ 'c_List_Odistinct'( 'c_List_Oremove1'( X, Y, Z ), Z ),
% 19.63/20.00 ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118135, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 19.63/20.00 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 19.63/20.00 , clause( 118136, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ),
% 19.63/20.00 'c_List_Olist__all2'( U, X, Z, Y, T ), ~( 'c_List_Olist__all2'( U,
% 19.63/20.00 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z, V0, T ), Y, T ) ) ] )
% 19.63/20.00 , clause( 118137, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ) ) ),
% 19.63/20.00 'c_List_Olist__all2'( U, W, V0, Y, T ), ~( 'c_List_Olist__all2'( U,
% 19.63/20.00 'c_List_Oappend'( X, W, Y ), 'c_List_Oappend'( Z, V0, T ), Y, T ) ) ] )
% 19.63/20.00 , clause( 118138, [ =( 'c_List_OremoveAll'( X, 'c_List_Oappend'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Oappend'( 'c_List_OremoveAll'( X, Y, T ),
% 19.63/20.00 'c_List_OremoveAll'( X, Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 118139, [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 19.63/20.00 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~(
% 19.63/20.00 'c_Lambda_Obeta'( X, Z ) ) ] )
% 19.63/20.00 , clause( 118140, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y,
% 19.63/20.00 Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118141, [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y,
% 19.63/20.00 'c_List_Olist_OCons'( Z, T, U ), U ), U ), 'c_List_OtakeWhile'( X, Y, U )
% 19.63/20.00 ), hBOOL( hAPP( X, Z ) ) ] )
% 19.63/20.00 , clause( 118142, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 19.63/20.00 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 19.63/20.00 , clause( 118143, [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OAbs'( X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X )
% 19.63/20.00 , Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 19.63/20.00 , clause( 118144, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), X ) ) ] )
% 19.63/20.00 , clause( 118145, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 19.63/20.00 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 19.63/20.00 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118146, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 19.63/20.00 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 19.63/20.00 , clause( 118147, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 19.63/20.00 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 19.63/20.00 , clause( 118148, [ 'c_List_Olist__all2'( X, 'c_List_Odrop'( Y, Z, T ),
% 19.63/20.00 'c_List_Odrop'( Y, U, W ), T, W ), ~( 'c_List_Olist__all2'( X, Z, U, T, W
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118149, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 19.63/20.00 , clause( 118150, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 19.63/20.00 , clause( 118151, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 19.63/20.00 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 19.63/20.00 , clause( 118152, [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ] )
% 19.63/20.00 , clause( 118153, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118154, [ =( 'c_List_Oremove1'( X, Y, Z ), 'c_List_OremoveAll'( X
% 19.63/20.00 , Y, Z ) ), ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118155, [ =( 'c_List_Oremove1'( X, 'c_List_Ofilter'( Y, Z, T ), T
% 19.63/20.00 ), 'c_List_Ofilter'( Y, Z, T ) ), hBOOL( hAPP( Y, X ) ) ] )
% 19.63/20.00 , clause( 118156, [ =( 'c_List_Ofilter'( X, 'c_List_Oreplicate'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Z ) ) ] )
% 19.63/20.00 , clause( 118157, [ =( 'c_List_Oappend'( 'c_List_OtakeWhile'( X, Y, Z ),
% 19.63/20.00 'c_List_OdropWhile'( X, Y, Z ), Z ), Y ) ] )
% 19.63/20.00 , clause( 118158, [ =( X, 'c_List_Olist_ONil'( Y ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( Z, 'c_List_Olist_ONil'( T ), X, T, Y ) ) ] )
% 19.63/20.00 , clause( 118159, [ =( X, 'c_List_Olist_ONil'( Y ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( Z, X, 'c_List_Olist_ONil'( T ), Y, T ) ) ] )
% 19.63/20.00 , clause( 118160, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 19.63/20.00 ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118161, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 19.63/20.00 , =( X, Z ) ] )
% 19.63/20.00 , clause( 118162, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 19.63/20.00 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 19.63/20.00 ), W ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 19.63/20.00 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ] )
% 19.63/20.00 , clause( 118163, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 19.63/20.00 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118164, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 19.63/20.00 'c_List_Orotate'( Z, X, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118165, [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ),
% 19.63/20.00 ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 19.63/20.00 , clause( 118166, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118167, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U
% 19.63/20.00 , V0, W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118168, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X,
% 19.63/20.00 Y, Z ), 'tc_List_Olist'( Z ) ), X ) ] )
% 19.63/20.00 , clause( 118169, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y
% 19.63/20.00 , Z, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 19.63/20.00 , clause( 118170, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 19.63/20.00 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118171, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) )
% 19.63/20.00 ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118172, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 118173, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 19.63/20.00 , clause( 118174, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 19.63/20.00 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 19.63/20.00 'tc_bool' ) ) ) ] )
% 19.63/20.00 , clause( 118175, [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'(
% 19.63/20.00 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118176, [ =( 'c_List_OdropWhile'( X, Y, Z ), 'c_List_Odrop'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 19.63/20.00 'tc_List_Olist'( Z ) ), Y, Z ) ) ] )
% 19.63/20.00 , clause( 118177, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X,
% 19.63/20.00 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X,
% 19.63/20.00 'tc_List_Olist'( T ) ), U, T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 19.63/20.00 U, Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 118178, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118179, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118180, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118181, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118182, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 19.63/20.00 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118183, [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_ONil'( Y ), Y
% 19.63/20.00 ), 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118184, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 19.63/20.00 , clause( 118185, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 19.63/20.00 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 19.63/20.00 , clause( 118186, [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ),
% 19.63/20.00 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Z,
% 19.63/20.00 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y ), T ) ), ~( =( 'c_List_Otake'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~(
% 19.63/20.00 =( Z, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y )
% 19.63/20.00 ), X, Y ) ) ), =( 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 19.63/20.00 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 19.63/20.00 ), 'c_List_Oappend'( X, T, Y ) ) ] )
% 19.63/20.00 , clause( 118187, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 19.63/20.00 , clause( 118188, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 19.63/20.00 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 19.63/20.00 , clause( 118189, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y
% 19.63/20.00 ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 19.63/20.00 , clause( 118190, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118191, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118192, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 19.63/20.00 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 19.63/20.00 , clause( 118193, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y
% 19.63/20.00 , Z, T ), U, W, T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U
% 19.63/20.00 , W, T ), Y, Z, T ) ), =( Y, U ) ] )
% 19.63/20.00 , clause( 118194, [ =( 'c_List_Omap__filter'( X, Y, 'c_List_Olist_ONil'( Z
% 19.63/20.00 ), Z, T ), 'c_List_Olist_ONil'( T ) ) ] )
% 19.63/20.00 , clause( 118195, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y
% 19.63/20.00 ) ) ), =( X, Y ) ] )
% 19.63/20.00 , clause( 118196, [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'(
% 19.63/20.00 X, 'c_List_Orev'( Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118197, [ 'c_List_Olist__all'( X, 'c_List_Orev'( Y, Z ), Z ), ~(
% 19.63/20.00 'c_List_Olist__all'( X, Y, Z ) ) ] )
% 19.63/20.00 , clause( 118198, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 19.63/20.00 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118199, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y
% 19.63/20.00 ) ) ) ] )
% 19.63/20.00 , clause( 118200, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 19.63/20.00 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118201, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W
% 19.63/20.00 , V0, V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2
% 19.63/20.00 ) ) ) ] )
% 19.63/20.00 , clause( 118202, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) )
% 19.63/20.00 ) ), =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP(
% 19.63/20.00 'c_Fun_Ocomp'( T, U, V3, V1, V4 ), W ) ) ] )
% 19.63/20.00 , clause( 118203, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 19.63/20.00 'c_List_Olist_ONil'( X ), X ) ) ] )
% 19.63/20.00 , clause( 118204, [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_ONil'( Y ), Y
% 19.63/20.00 ), 'c_List_Olist_ONil'( Y ) ) ] )
% 19.63/20.00 , clause( 118205, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ),
% 19.63/20.00 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 19.63/20.00 ) ) ) ] )
% 19.63/20.00 , clause( 118206, [ 'c_List_Olist__all2'( X, 'c_List_Olist_ONil'( Y ),
% 19.63/20.00 'c_List_Olist_ONil'( Z ), Y, Z ) ] )
% 19.63/20.00 , clause( 118207, [ hBOOL( hAPP(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 19.63/20.00 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118208, [ =( 'c_List_Orev'( 'c_List_Ofilter'( X, Y, Z ), Z ),
% 19.63/20.00 'c_List_Ofilter'( X, 'c_List_Orev'( Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118209, [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118210, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 19.63/20.00 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118211, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 19.63/20.00 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118212, [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'(
% 19.63/20.00 X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118213, [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'(
% 19.63/20.00 X, 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118214, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 19.63/20.00 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 19.63/20.00 , clause( 118215, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_OdropWhile'( Y, Z, X ), X ),
% 19.63/20.00 ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 19.63/20.00 , clause( 118216, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y
% 19.63/20.00 , Z, T ), Y, U, T ), 'c_List_Olist__update'( X, Y, U, T ) ) ] )
% 19.63/20.00 , clause( 118217, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 19.63/20.00 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118218, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 19.63/20.00 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 19.63/20.00 , clause( 118219, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 19.63/20.00 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118220, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 19.63/20.00 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 19.63/20.00 , clause( 118221, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Oremove1'( Y, Z, X ), X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 19.63/20.00 , clause( 118222, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 19.63/20.00 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~(
% 19.63/20.00 'c_Type_Otyping'( X, T, U ) ) ] )
% 19.63/20.00 , clause( 118223, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T
% 19.63/20.00 ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ),
% 19.63/20.00 =( X, Y ) ] )
% 19.63/20.00 , clause( 118224, [ 'c_List_Olistrelp'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 19.63/20.00 , 'c_List_Olist_OCons'( U, W, T ), T ), ~( 'c_List_Olistrelp'( X, Z, W, T
% 19.63/20.00 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ] )
% 19.63/20.00 , clause( 118225, [ 'c_List_Olist__ex'( X, Y, Z ), hBOOL( hAPP( X, T ) ),
% 19.63/20.00 ~( 'c_List_Olist__ex'( X, 'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118226, [ 'c_List_Olist__ex'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 19.63/20.00 , T ), ~( 'c_List_Olist__ex'( X, Z, T ) ) ] )
% 19.63/20.00 , clause( 118227, [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T
% 19.63/20.00 ), 'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X
% 19.63/20.00 , Z, W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ] )
% 19.63/20.00 , clause( 118228, [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T
% 19.63/20.00 ), 'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X
% 19.63/20.00 , Z, W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ] )
% 19.63/20.00 , clause( 118229, [ 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, Z, T
% 19.63/20.00 ), 'c_List_Olist_OCons'( U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X
% 19.63/20.00 , Z, W, T, V0 ) ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ) ] )
% 19.63/20.00 , clause( 118230, [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( Y, Z,
% 19.63/20.00 T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_OremoveAll'( X, Z, T ), T ) )
% 19.63/20.00 , =( X, Y ) ] )
% 19.63/20.00 , clause( 118231, [ ~( =( 'c_List_OdropWhile'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_OCons'( T, U, Z ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 19.63/20.00 , clause( 118232, [ 'c_List_Olist__ex'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 19.63/20.00 , T ), ~( hBOOL( hAPP( X, Y ) ) ) ] )
% 19.63/20.00 , clause( 118233, [ =( 'c_List_Omap__filter'( X, Y, 'c_List_Olist_OCons'( Z
% 19.63/20.00 , T, U ), U, W ), 'c_List_Omap__filter'( X, Y, T, U, W ) ), hBOOL( hAPP(
% 19.63/20.00 Y, Z ) ) ] )
% 19.63/20.00 , clause( 118234, [ 'c_List_OListMem'( X, 'c_List_Olist_OCons'( X, Y, Z ),
% 19.63/20.00 Z ) ] )
% 19.63/20.00 , clause( 118235, [ 'c_List_Olist__all2'( X, Y, Z, T, U ), ~(
% 19.63/20.00 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( W, Y, T ),
% 19.63/20.00 'c_List_Olist_OCons'( V0, Z, U ), T, U ) ) ] )
% 19.63/20.00 , clause( 118236, [ ~( =( 'c_List_Ofilter'( X, Y, Z ), 'c_List_Olist_OCons'(
% 19.63/20.00 T, U, Z ) ) ), hBOOL( hAPP( X, T ) ) ] )
% 19.63/20.00 , clause( 118237, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ),
% 19.63/20.00 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 19.63/20.00 'c_List_Olist_OCons'( Z, T, U ), U ) ] )
% 19.63/20.00 , clause( 118238, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 19.63/20.00 'c_List_Olist_OCons'( Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118239, [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Olist_OCons'( Y, 'c_List_Ofilter'( X, Z, T ), T ) ), ~(
% 19.63/20.00 hBOOL( hAPP( X, Y ) ) ) ] )
% 19.63/20.00 , clause( 118240, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Ofilter'(
% 19.63/20.00 T, U, Z ) ) ), hBOOL( hAPP( T, X ) ) ] )
% 19.63/20.00 , clause( 118241, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 19.63/20.00 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 19.63/20.00 , clause( 118242, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ),
% 19.63/20.00 ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T,
% 19.63/20.00 'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ] )
% 19.63/20.00 , clause( 118243, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 19.63/20.00 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118244, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 19.63/20.00 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118245, [ =( 'c_List_Olist_Olist__case'( X, Y,
% 19.63/20.00 'c_List_Olist_OCons'( Z, T, U ), W, U ), hAPP( hAPP( Y, Z ), T ) ) ] )
% 19.63/20.00 , clause( 118246, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z
% 19.63/20.00 ), Z ), Y ) ] )
% 19.63/20.00 , clause( 118247, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~(
% 19.63/20.00 'c_List_Olist__all2'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 19.63/20.00 'c_List_Olist_OCons'( Z, W, V0 ), U, V0 ) ) ] )
% 19.63/20.00 , clause( 118248, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 19.63/20.00 , clause( 118249, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 19.63/20.00 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 19.63/20.00 , clause( 118250, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118251, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118252, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~(
% 19.63/20.00 'c_ListOrder_Ostep1'( Z, 'c_List_Olist_OCons'( Y, T, U ),
% 19.63/20.00 'c_List_Olist_OCons'( X, W, U ), U ) ) ] )
% 19.63/20.00 , clause( 118253, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 19.63/20.00 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 19.63/20.00 ] )
% 19.63/20.00 , clause( 118254, [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z,
% 19.63/20.00 T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_OtakeWhile'( X, Z, T ), T ) )
% 19.63/20.00 , ~( hBOOL( hAPP( X, Y ) ) ) ] )
% 19.63/20.00 , clause( 118255, [ 'c_List_Olist__all'( X, Y, Z ), ~( 'c_List_Olist__all'(
% 19.63/20.00 X, 'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118256, [ hBOOL( hAPP( X, Y ) ), ~( 'c_List_Olist__all'( X,
% 19.63/20.00 'c_List_Olist_OCons'( Y, Z, T ), T ) ) ] )
% 19.63/20.00 , clause( 118257, [ 'c_List_OListMem'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 19.63/20.00 T ), ~( 'c_List_OListMem'( X, Z, T ) ) ] )
% 19.63/20.00 , clause( 118258, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 19.63/20.00 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ] )
% 19.63/20.00 , clause( 118259, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'(
% 19.63/20.00 U, W, T ) ) ), =( Y, 'c_List_Olist_OCons'(
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'( X, Y, U, W, Z, T ),
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'( X, Y, U, W, Z, T ), Z )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118260, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T
% 19.63/20.00 , U, W, Z ) ) ), =( U, 'c_List_Olist_OCons'(
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__conv__1__1'( T, X, Y, U, W, Z ),
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__conv__1__2'( T, X, Y, U, W, Z ), W )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118261, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'(
% 19.63/20.00 U, W, T ) ) ), =( Y, 'c_List_Olist_OCons'(
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__D__1__1'( X, Y, U, W, Z, T ),
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__D__1__2'( X, Y, U, W, Z, T ), Z ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118262, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T
% 19.63/20.00 , U, W, Z ) ) ), =( U, 'c_List_Olist_OCons'(
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__D__1__1'( T, X, Y, U, W, Z ),
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__D__1__2'( T, X, Y, U, W, Z ), W ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118263, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 19.63/20.00 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ),
% 19.63/20.00 Z ), 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_nat', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.00 , clause( 118264, [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z,
% 19.63/20.00 'tc_Type_Otype' ), 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y,
% 19.63/20.00 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'( X, T, U ) ) ] )
% 19.63/20.00 , clause( 118265, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'(
% 19.63/20.00 T ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118266, [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U )
% 19.63/20.00 , 'c_List_Omap'( Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ] )
% 19.63/20.00 , clause( 118267, [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X
% 19.63/20.00 , Y, Z ) ), 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =(
% 19.63/20.00 'c_List_Omap'( X, Y, Z, Z ), Y ) ] )
% 19.63/20.00 , clause( 118268, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 19.63/20.00 'c_List_Omap'( Z, X, Y, T ), T ) ) ] )
% 19.63/20.00 , clause( 118269, [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U
% 19.63/20.00 ), 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T
% 19.63/20.00 , U ), U ) ) ] )
% 19.63/20.00 , clause( 118270, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U
% 19.63/20.00 , Z, T ) ) ), =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 19.63/20.00 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118271, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T
% 19.63/20.00 , X ) ) ), =( Z, 'c_List_Olist_ONil'( T ) ) ] )
% 19.63/20.00 , clause( 118272, [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 19.63/20.00 , U ), 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ] )
% 19.63/20.00 , clause( 118273, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z,
% 19.63/20.00 T ), 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y,
% 19.63/20.00 'tc_List_Olist'( Z ) ) ) ] )
% 19.63/20.00 , clause( 118274, [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U
% 19.63/20.00 ), 'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ] )
% 19.63/20.00 , clause( 118275, [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ),
% 19.63/20.00 'c_List_Omap'( X, 'c_List_Orev'( Y, Z ), Z, T ) ) ] )
% 19.63/20.00 , clause( 118276, [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X
% 19.63/20.00 , Y, Z, T, U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z
% 19.63/20.00 , T, U ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118277, [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U )
% 19.63/20.00 , 'c_List_Omap'( Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ] )
% 19.63/20.00 , clause( 118278, [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 19.63/20.00 'c_List_Olist_ONil'( Z ) ) ] )
% 19.63/20.00 , clause( 118279, [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W
% 19.63/20.00 ), 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 19.63/20.00 , clause( 118280, [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X
% 19.63/20.00 , Y, Z, T, U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z
% 19.63/20.00 , T, U ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118281, [ ~( =( hAPP( X,
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U ) ), hAPP( Y,
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U ) ) ) ), =(
% 19.63/20.00 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ] )
% 19.63/20.00 , clause( 118282, [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U
% 19.63/20.00 ), U, W ), 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP(
% 19.63/20.00 X, T ), W ) ) ] )
% 19.63/20.00 , clause( 118283, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y,
% 19.63/20.00 'c_List_Olist_ONil'( Z ), Z, X ) ) ] )
% 19.63/20.00 , clause( 118284, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 19.63/20.00 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 19.63/20.00 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 19.63/20.00 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ] )
% 19.63/20.00 , clause( 118285, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 19.63/20.00 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ] )
% 19.63/20.00 , clause( 118286, [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 19.63/20.00 X ), Y ), Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~(
% 19.63/20.00 'c_Lambda_Obeta'( X, T ) ) ] )
% 19.63/20.00 , clause( 118287, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 19.63/20.00 'c_Lambda_Olift', X ), Y ) ), Z ), Y ), X ) ] )
% 19.63/20.00 , clause( 118288, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 19.63/20.00 'c_Lambda_Olift', X ), Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X )
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118289, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'(
% 19.63/20.00 X ) ) ) ] )
% 19.63/20.00 , clause( 118290, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ] )
% 19.63/20.00 , clause( 118291, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'(
% 19.63/20.00 X ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 19.63/20.00 , clause( 118292, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 19.63/20.00 ~( 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 19.63/20.00 , clause( 118293, [ 'c_List_Olistsp'( X, Y, Z ), ~( hBOOL( hAPP( X,
% 19.63/20.00 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ] )
% 19.63/20.00 , clause( 118294, [ 'c_List_Olistsp'(
% 19.63/20.00 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 19.63/20.00 'tc_bool' ) ), T, Z ), ~( 'c_List_Olistsp'( Y, T, Z ) ), ~(
% 19.63/20.00 'c_List_Olistsp'( X, T, Z ) ) ] )
% 19.63/20.00 , clause( 118295, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 19.63/20.00 , clause( 118296, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 19.63/20.00 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118297, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 19.63/20.00 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 19.63/20.00 , clause( 118298, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 19.63/20.00 'c_Lambda_Osubst', 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X,
% 19.63/20.00 'v_T____' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~(
% 19.63/20.00 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ),
% 19.63/20.00 'v_a____', T ) ) ] )
% 19.63/20.00 , clause( 118299, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 19.63/20.00 'c_Lambda_Osubst', 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X,
% 19.63/20.00 'v_T____' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~(
% 19.63/20.00 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ),
% 19.63/20.00 'v_a____', T ) ) ] )
% 19.63/20.00 , clause( 118300, [ ~( =( 'v_n____', 'v_i____' ) ) ] )
% 19.63/20.00 , clause( 118301, [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'(
% 19.63/20.00 'c_COMBC'( 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB',
% 19.63/20.00 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.00 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 19.63/20.00 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 19.63/20.00 , ~( 'c_Type_Otyping'( X, Y, W ) ) ] )
% 19.63/20.00 , clause( 118302, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'(
% 19.63/20.00 U, W, T ) ) ), =( 'c_List_Omap'( X,
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__D__1__2'( X, Y, U, W, Z, T ), Z, T )
% 19.63/20.00 , W ) ] )
% 19.63/20.00 , clause( 118303, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T
% 19.63/20.00 , U, W, Z ) ) ), =( Y, 'c_List_Omap'( T,
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__conv__1__2'( T, X, Y, U, W, Z ), W, Z
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118304, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'(
% 19.63/20.00 U, W, T ) ) ), =( hAPP( X, 'c_List_Osko__List__Xmap__eq__Cons__D__1__1'(
% 19.63/20.00 X, Y, U, W, Z, T ) ), U ) ] )
% 19.63/20.00 , clause( 118305, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'(
% 19.63/20.00 U, W, T ) ) ), =( hAPP( X,
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__conv__1__1'( X, Y, U, W, Z, T ) ), U
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118306, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_OCons'(
% 19.63/20.00 U, W, T ) ) ), =( 'c_List_Omap'( X,
% 19.63/20.00 'c_List_Osko__List__Xmap__eq__Cons__conv__1__2'( X, Y, U, W, Z, T ), Z, T
% 19.63/20.00 ), W ) ] )
% 19.63/20.00 , clause( 118307, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T
% 19.63/20.00 , U, W, Z ) ) ), =( X, hAPP( T,
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__conv__1__1'( T, X, Y, U, W, Z ) ) ) ]
% 19.63/20.00 )
% 19.63/20.00 , clause( 118308, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T
% 19.63/20.00 , U, W, Z ) ) ), =( X, hAPP( T,
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__D__1__1'( T, X, Y, U, W, Z ) ) ) ] )
% 19.63/20.00 , clause( 118309, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Omap'( T
% 19.63/20.00 , U, W, Z ) ) ), =( Y, 'c_List_Omap'( T,
% 19.63/20.00 'c_List_Osko__List__XCons__eq__map__D__1__2'( T, X, Y, U, W, Z ), W, Z )
% 19.63/20.00 ) ] )
% 19.63/20.00 , clause( 118310, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 19.63/20.00 'c_Lambda_Osubst', X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL(
% 19.63/20.00 hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 19.63/20.00 , clause( 118311, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.00 'c_COMBC'( 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 19.63/20.00 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 19.63/20.00 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.00 , clause( 118312, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 19.63/20.00 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 19.63/20.00 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 19.63/20.00 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.63/20.00 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.63/20.00 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.00 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 19.63/20.00 , 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.00 , clause( 118313, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 19.63/20.00 , clause( 118314, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 19.63/20.00 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 19.63/20.00 , clause( 118315, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 19.63/20.00 , W ), Y ) ) ] )
% 19.63/20.00 , clause( 118316, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.00 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB'
% 19.63/20.00 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 19.63/20.00 , clause( 118317, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 19.63/20.00 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118318, [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X
% 19.63/20.00 , Z, T, U ), U ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118319, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 19.63/20.00 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 19.63/20.00 ) ) ] )
% 19.63/20.00 , clause( 118320, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ] )
% 19.63/20.00 , clause( 118321, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 19.63/20.00 , clause( 118322, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 19.63/20.00 , clause( 118323, [ 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.63/20.00 'c_List_Olist_OCons'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ),
% 19.63/20.00 'v_u____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.63/20.00 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.63/20.00 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.00 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.00 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 19.63/20.00 , clause( 118324, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.00 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 19.63/20.00 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Olist_OCons'(
% 19.63/20.00 'v_a____', 'v_as____', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 19.63/20.00 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , clause( 118325, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 19.63/20.01 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 19.63/20.01 , clause( 118326, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 19.63/20.01 'class_Orderings_Opreorder'( Y ) ) ] )
% 19.63/20.01 , clause( 118327, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 19.63/20.01 'class_Lattices_Olattice'( Y ) ) ] )
% 19.63/20.01 , clause( 118328, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 19.63/20.01 'class_Orderings_Oorder'( Y ) ) ] )
% 19.63/20.01 , clause( 118329, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 19.63/20.01 , clause( 118330, [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ] )
% 19.63/20.01 , clause( 118331, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 19.63/20.01 , clause( 118332, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 19.63/20.01 , clause( 118333, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 19.63/20.01 , clause( 118334, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 19.63/20.01 , clause( 118335, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 19.63/20.01 , clause( 118336, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 19.63/20.01 , clause( 118337, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 19.63/20.01 , clause( 118338, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 19.63/20.01 , clause( 118339, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 19.63/20.01 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118340, [ 'class_Lattices_Olower__semilattice'( 'tc_Int_Oint' ) ]
% 19.63/20.01 )
% 19.63/20.01 , clause( 118341, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 19.63/20.01 )
% 19.63/20.01 , clause( 118342, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118343, [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118344, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118345, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118346, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118347, [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118348, [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118349, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118350, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118351, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 19.63/20.01 , clause( 118352, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 19.63/20.01 , W ), Y ) ) ] )
% 19.63/20.01 , clause( 118353, [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z )
% 19.63/20.01 ) ) ] )
% 19.63/20.01 , clause( 118354, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 19.63/20.01 , clause( 118355, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ),
% 19.63/20.01 Y ) ) ) ] )
% 19.63/20.01 ] ).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 subsumption(
% 19.63/20.01 clause( 381, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W )
% 19.63/20.01 , Y ) ) ] )
% 19.63/20.01 , clause( 118315, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 19.63/20.01 , W ), Y ) ) ] )
% 19.63/20.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 19.63/20.01 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 subsumption(
% 19.63/20.01 clause( 383, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U )
% 19.63/20.01 , 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) )
% 19.63/20.01 ] )
% 19.63/20.01 , clause( 118317, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 19.63/20.01 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 19.63/20.01 ) ) ] )
% 19.63/20.01 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 19.63/20.01 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 subsumption(
% 19.63/20.01 clause( 386, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'(
% 19.63/20.01 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ), 'v_u____' ), 'v_i____'
% 19.63/20.01 ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 19.63/20.01 , 'v_i____', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' )
% 19.63/20.01 ] )
% 19.63/20.01 , clause( 118323, [ 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.63/20.01 'c_List_Olist_OCons'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ),
% 19.63/20.01 'v_u____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.63/20.01 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.63/20.01 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 19.63/20.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 subsumption(
% 19.63/20.01 clause( 387, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.01 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Olist_OCons'(
% 19.63/20.01 'v_a____', 'v_as____', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , clause( 118324, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.01 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Olist_OCons'(
% 19.63/20.01 'v_a____', 'v_as____', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 paramod(
% 19.63/20.01 clause( 120410, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.63/20.01 'c_List_Olist_OCons'( hAPP( 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst',
% 19.63/20.01 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ), 'v_a____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.63/20.01 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.63/20.01 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , clause( 383, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U
% 19.63/20.01 ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U )
% 19.63/20.01 ) ] )
% 19.63/20.01 , 0, clause( 387, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 19.63/20.01 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Olist_OCons'(
% 19.63/20.01 'v_a____', 'v_as____', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , 0, 3, substitution( 0, [ :=( X, 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst',
% 19.63/20.01 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ) ), :=( Y, 'v_a____' ), :=( Z, 'v_as____' ), :=( T,
% 19.63/20.01 'tc_Lambda_OdB' ), :=( U, 'tc_Lambda_OdB' )] ), substitution( 1, [] )
% 19.63/20.01 ).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 paramod(
% 19.63/20.01 clause( 120411, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.63/20.01 'c_List_Olist_OCons'( hAPP( hAPP( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____'
% 19.63/20.01 , 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' )
% 19.63/20.01 ), 'v_a____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.63/20.01 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.63/20.01 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , clause( 381, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W
% 19.63/20.01 ), Y ) ) ] )
% 19.63/20.01 , 0, clause( 120410, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.63/20.01 'c_List_Olist_OCons'( hAPP( 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst',
% 19.63/20.01 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ), 'v_a____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.63/20.01 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.63/20.01 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.63/20.01 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.63/20.01 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.63/20.01 , 0, 4, substitution( 0, [ :=( X, 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____',
% 19.63/20.01 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 19.63/20.01 ), :=( Y, 'v_i____' ), :=( Z, 'tc_Lambda_OdB' ), :=( T, 'tc_nat' ), :=(
% 19.63/20.01 U, 'tc_Lambda_OdB' ), :=( W, 'v_a____' )] ), substitution( 1, [] )).
% 19.63/20.01
% 19.63/20.01
% 19.63/20.01 paramod(
% 19.63/20.01 clause( 120413, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.65/20.02 'c_List_Olist_OCons'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ),
% 19.65/20.02 'v_u____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.65/20.02 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.65/20.02 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.65/20.02 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.65/20.02 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.65/20.02 , clause( 381, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W
% 19.65/20.02 ), Y ) ) ] )
% 19.65/20.02 , 0, clause( 120411, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.65/20.02 'c_List_Olist_OCons'( hAPP( hAPP( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____'
% 19.65/20.02 , 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' )
% 19.65/20.02 ), 'v_a____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.65/20.02 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.65/20.02 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.65/20.02 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.65/20.02 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.65/20.02 , 0, 5, substitution( 0, [ :=( X, 'c_Lambda_Osubst' ), :=( Y, 'v_u____' ),
% 19.65/20.02 :=( Z, 'tc_Lambda_OdB' ), :=( T, 'tc_Lambda_OdB' ), :=( U, 'tc_fun'(
% 19.65/20.02 'tc_nat', 'tc_Lambda_OdB' ) ), :=( W, 'v_a____' )] ), substitution( 1, [] )
% 19.65/20.02 ).
% 19.65/20.02
% 19.65/20.02
% 19.65/20.02 resolution(
% 19.65/20.02 clause( 120414, [] )
% 19.65/20.02 , clause( 120413, [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.65/20.02 'c_List_Olist_OCons'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ),
% 19.65/20.02 'v_u____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.65/20.02 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.65/20.02 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.65/20.02 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.65/20.02 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ] )
% 19.65/20.02 , 0, clause( 386, [ 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 19.65/20.02 'c_List_Olist_OCons'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ),
% 19.65/20.02 'v_u____' ), 'v_i____' ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 19.65/20.02 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 19.65/20.02 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____', 'tc_Lambda_OdB', 'tc_nat',
% 19.65/20.02 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 19.65/20.02 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 19.65/20.02 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 19.65/20.02
% 19.65/20.02
% 19.65/20.02 subsumption(
% 19.65/20.02 clause( 117871, [] )
% 19.65/20.02 , clause( 120414, [] )
% 19.65/20.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 19.65/20.02
% 19.65/20.02
% 19.65/20.02 end.
% 19.65/20.02
% 19.65/20.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 19.65/20.02
% 19.65/20.02 Memory use:
% 19.65/20.02
% 19.65/20.02 space for terms: 3009715
% 19.65/20.02 space for clauses: 6231422
% 19.65/20.02
% 19.65/20.02
% 19.65/20.02 clauses generated: 668034
% 19.65/20.02 clauses kept: 117872
% 19.65/20.02 clauses selected: 1474
% 19.65/20.02 clauses deleted: 4925
% 19.65/20.02 clauses inuse deleted: 77
% 19.65/20.02
% 19.65/20.02 subsentry: 3239238
% 19.65/20.02 literals s-matched: 1690119
% 19.65/20.02 literals matched: 1618233
% 19.65/20.02 full subsumption: 1231710
% 19.65/20.02
% 19.65/20.02 checksum: -612200740
% 19.65/20.02
% 19.65/20.02
% 19.65/20.02 Bliksem ended
%------------------------------------------------------------------------------