/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem 1: 

(VAR @l @l1 @l2 @l3 @x @xs @y @ys @z @zs)
(RULES
group3(@l) -> group3#1(@l)
group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
group3#1(nil) -> nil
group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
group3#2(nil,@x) -> nil
group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
group3#3(nil,@x,@y) -> nil
zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
zip3#1(nil,@l2,@l3) -> nil
zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
zip3#2(nil,@l3,@x,@xs) -> nil
zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
zip3#3(nil,@x,@xs,@y,@ys) -> nil
) 
(STRATEGY INNERMOST)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 GROUP3(@l) -> GROUP3#1(@l)
 GROUP3#1(::(@x,@xs)) -> GROUP3#2(@xs,@x)
 GROUP3#2(::(@y,@ys),@x) -> GROUP3#3(@ys,@x,@y)
 GROUP3#3(::(@z,@zs),@x,@y) -> GROUP3(@zs)
 ZIP3(@l1,@l2,@l3) -> ZIP3#1(@l1,@l2,@l3)
 ZIP3#1(::(@x,@xs),@l2,@l3) -> ZIP3#2(@l2,@l3,@x,@xs)
 ZIP3#2(::(@y,@ys),@l3,@x,@xs) -> ZIP3#3(@l3,@x,@xs,@y,@ys)
 ZIP3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ZIP3(@xs,@ys,@zs)
-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil

Problem 1: 

SCC Processor:
-> Pairs:
 GROUP3(@l) -> GROUP3#1(@l)
 GROUP3#1(::(@x,@xs)) -> GROUP3#2(@xs,@x)
 GROUP3#2(::(@y,@ys),@x) -> GROUP3#3(@ys,@x,@y)
 GROUP3#3(::(@z,@zs),@x,@y) -> GROUP3(@zs)
 ZIP3(@l1,@l2,@l3) -> ZIP3#1(@l1,@l2,@l3)
 ZIP3#1(::(@x,@xs),@l2,@l3) -> ZIP3#2(@l2,@l3,@x,@xs)
 ZIP3#2(::(@y,@ys),@l3,@x,@xs) -> ZIP3#3(@l3,@x,@xs,@y,@ys)
 ZIP3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ZIP3(@xs,@ys,@zs)
-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 ZIP3(@l1,@l2,@l3) -> ZIP3#1(@l1,@l2,@l3)
 ZIP3#1(::(@x,@xs),@l2,@l3) -> ZIP3#2(@l2,@l3,@x,@xs)
 ZIP3#2(::(@y,@ys),@l3,@x,@xs) -> ZIP3#3(@l3,@x,@xs,@y,@ys)
 ZIP3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ZIP3(@xs,@ys,@zs)
->->-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil
->->Cycle:
->->-> Pairs:
 GROUP3(@l) -> GROUP3#1(@l)
 GROUP3#1(::(@x,@xs)) -> GROUP3#2(@xs,@x)
 GROUP3#2(::(@y,@ys),@x) -> GROUP3#3(@ys,@x,@y)
 GROUP3#3(::(@z,@zs),@x,@y) -> GROUP3(@zs)
->->-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil


The problem is decomposed in 2 subproblems.

Problem 1.1: 

Subterm Processor:
-> Pairs:
 ZIP3(@l1,@l2,@l3) -> ZIP3#1(@l1,@l2,@l3)
 ZIP3#1(::(@x,@xs),@l2,@l3) -> ZIP3#2(@l2,@l3,@x,@xs)
 ZIP3#2(::(@y,@ys),@l3,@x,@xs) -> ZIP3#3(@l3,@x,@xs,@y,@ys)
 ZIP3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ZIP3(@xs,@ys,@zs)
-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil
->Projection:
 pi(ZIP3) = 1
 pi(ZIP3#1) = 1
 pi(ZIP3#2) = 4
 pi(ZIP3#3) = 3

Problem 1.1: 

SCC Processor:
-> Pairs:
 ZIP3(@l1,@l2,@l3) -> ZIP3#1(@l1,@l2,@l3)
 ZIP3#2(::(@y,@ys),@l3,@x,@xs) -> ZIP3#3(@l3,@x,@xs,@y,@ys)
 ZIP3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ZIP3(@xs,@ys,@zs)
-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

Problem 1.2: 

Subterm Processor:
-> Pairs:
 GROUP3(@l) -> GROUP3#1(@l)
 GROUP3#1(::(@x,@xs)) -> GROUP3#2(@xs,@x)
 GROUP3#2(::(@y,@ys),@x) -> GROUP3#3(@ys,@x,@y)
 GROUP3#3(::(@z,@zs),@x,@y) -> GROUP3(@zs)
-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil
->Projection:
 pi(GROUP3) = 1
 pi(GROUP3#1) = 1
 pi(GROUP3#2) = 1
 pi(GROUP3#3) = 1

Problem 1.2: 

SCC Processor:
-> Pairs:
 GROUP3(@l) -> GROUP3#1(@l)
-> Rules:
 group3(@l) -> group3#1(@l)
 group3#1(::(@x,@xs)) -> group3#2(@xs,@x)
 group3#1(nil) -> nil
 group3#2(::(@y,@ys),@x) -> group3#3(@ys,@x,@y)
 group3#2(nil,@x) -> nil
 group3#3(::(@z,@zs),@x,@y) -> ::(tuple#3(@x,@y,@z),group3(@zs))
 group3#3(nil,@x,@y) -> nil
 zip3(@l1,@l2,@l3) -> zip3#1(@l1,@l2,@l3)
 zip3#1(::(@x,@xs),@l2,@l3) -> zip3#2(@l2,@l3,@x,@xs)
 zip3#1(nil,@l2,@l3) -> nil
 zip3#2(::(@y,@ys),@l3,@x,@xs) -> zip3#3(@l3,@x,@xs,@y,@ys)
 zip3#2(nil,@l3,@x,@xs) -> nil
 zip3#3(::(@z,@zs),@x,@xs,@y,@ys) -> ::(tuple#3(@x,@y,@z),zip3(@xs,@ys,@zs))
 zip3#3(nil,@x,@xs,@y,@ys) -> nil
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.