/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
0(0(x1)) -> 0(x1)
0(1(x1)) -> 1(x1)
1(0(x1)) -> 0(0(0(1(x1))))
1(1(x1)) -> 0(0(0(0(x1))))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 1#(0(x1)) -> 0#(0(0(1(x1))))
 1#(0(x1)) -> 0#(0(1(x1)))
 1#(0(x1)) -> 0#(1(x1))
 1#(0(x1)) -> 1#(x1)
 1#(1(x1)) -> 0#(0(0(0(x1))))
 1#(1(x1)) -> 0#(0(0(x1)))
 1#(1(x1)) -> 0#(0(x1))
 1#(1(x1)) -> 0#(x1)
-> Rules:
 0(0(x1)) -> 0(x1)
 0(1(x1)) -> 1(x1)
 1(0(x1)) -> 0(0(0(1(x1))))
 1(1(x1)) -> 0(0(0(0(x1))))

Problem 1: 

SCC Processor:
-> Pairs:
 1#(0(x1)) -> 0#(0(0(1(x1))))
 1#(0(x1)) -> 0#(0(1(x1)))
 1#(0(x1)) -> 0#(1(x1))
 1#(0(x1)) -> 1#(x1)
 1#(1(x1)) -> 0#(0(0(0(x1))))
 1#(1(x1)) -> 0#(0(0(x1)))
 1#(1(x1)) -> 0#(0(x1))
 1#(1(x1)) -> 0#(x1)
-> Rules:
 0(0(x1)) -> 0(x1)
 0(1(x1)) -> 1(x1)
 1(0(x1)) -> 0(0(0(1(x1))))
 1(1(x1)) -> 0(0(0(0(x1))))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 1#(0(x1)) -> 1#(x1)
->->-> Rules:
 0(0(x1)) -> 0(x1)
 0(1(x1)) -> 1(x1)
 1(0(x1)) -> 0(0(0(1(x1))))
 1(1(x1)) -> 0(0(0(0(x1))))

Problem 1: 

Subterm Processor:
-> Pairs:
 1#(0(x1)) -> 1#(x1)
-> Rules:
 0(0(x1)) -> 0(x1)
 0(1(x1)) -> 1(x1)
 1(0(x1)) -> 0(0(0(1(x1))))
 1(1(x1)) -> 0(0(0(0(x1))))
->Projection:
 pi(1#) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 0(0(x1)) -> 0(x1)
 0(1(x1)) -> 1(x1)
 1(0(x1)) -> 0(0(0(1(x1))))
 1(1(x1)) -> 0(0(0(0(x1))))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.