/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)
(RULES
f(s(x:S),y:S,y:S) -> f(y:S,x:S,s(x:S))
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 f(s(x:S),y:S,y:S) -> f(y:S,x:S,s(x:S))
-> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(s(x:S),y:S,y:S) -> F(y:S,x:S,s(x:S))
-> Rules:
 f(s(x:S),y:S,y:S) -> f(y:S,x:S,s(x:S))

Problem 1: 

SCC Processor:
-> Pairs:
 F(s(x:S),y:S,y:S) -> F(y:S,x:S,s(x:S))
-> Rules:
 f(s(x:S),y:S,y:S) -> f(y:S,x:S,s(x:S))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.