/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem 1: 

(VAR v_NonEmpty:S x:S y:S z:S)
(RULES
.(i(x:S),x:S) -> 1
.(i(y:S),.(y:S,z:S)) -> z:S
.(1,x:S) -> x:S
.(x:S,i(x:S)) -> 1
.(x:S,1) -> x:S
.(y:S,.(i(y:S),z:S)) -> z:S
i(i(x:S)) -> x:S
i(1) -> 1
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 Empty
-> Rules:
 .(i(x:S),x:S) -> 1
 .(i(y:S),.(y:S,z:S)) -> z:S
 .(1,x:S) -> x:S
 .(x:S,i(x:S)) -> 1
 .(x:S,1) -> x:S
 .(y:S,.(i(y:S),z:S)) -> z:S
 i(i(x:S)) -> x:S
 i(1) -> 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 .(i(x:S),x:S) -> 1
 .(i(y:S),.(y:S,z:S)) -> z:S
 .(1,x:S) -> x:S
 .(x:S,i(x:S)) -> 1
 .(x:S,1) -> x:S
 .(y:S,.(i(y:S),z:S)) -> z:S
 i(i(x:S)) -> x:S
 i(1) -> 1
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.