/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 x1)
(RULES
a(a(x1)) -> a(b(a(b(c(a(x1))))))
a(x1) -> x1
c(b(x1)) -> a(x1)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A(a(x1)) -> A(b(a(b(c(a(x1))))))
 A(a(x1)) -> A(b(c(a(x1))))
 A(a(x1)) -> C(a(x1))
 C(b(x1)) -> A(x1)
-> Rules:
 a(a(x1)) -> a(b(a(b(c(a(x1))))))
 a(x1) -> x1
 c(b(x1)) -> a(x1)

Problem 1: 

SCC Processor:
-> Pairs:
 A(a(x1)) -> A(b(a(b(c(a(x1))))))
 A(a(x1)) -> A(b(c(a(x1))))
 A(a(x1)) -> C(a(x1))
 C(b(x1)) -> A(x1)
-> Rules:
 a(a(x1)) -> a(b(a(b(c(a(x1))))))
 a(x1) -> x1
 c(b(x1)) -> a(x1)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A(a(x1)) -> C(a(x1))
 C(b(x1)) -> A(x1)
->->-> Rules:
 a(a(x1)) -> a(b(a(b(c(a(x1))))))
 a(x1) -> x1
 c(b(x1)) -> a(x1)

Problem 1: 

Subterm Processor:
-> Pairs:
 A(a(x1)) -> C(a(x1))
 C(b(x1)) -> A(x1)
-> Rules:
 a(a(x1)) -> a(b(a(b(c(a(x1))))))
 a(x1) -> x1
 c(b(x1)) -> a(x1)
->Projection:
 pi(A) = 1
 pi(C) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 A(a(x1)) -> C(a(x1))
-> Rules:
 a(a(x1)) -> a(b(a(b(c(a(x1))))))
 a(x1) -> x1
 c(b(x1)) -> a(x1)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.