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


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NO

Problem 1: 

(VAR x1)
(RULES
0(q0(0(x1))) -> 0(0(q0(x1)))
0(q0(1(x1))) -> 0(1(q0(x1)))
0(q0(h(x1))) -> 0(0(q0(h(x1))))
0(q1(0(x1))) -> 0(0(q2(x1)))
0(q1(1(x1))) -> 0(1(q2(x1)))
0(q1(h(x1))) -> 0(0(q2(h(x1))))
0(q2(x1)) -> q3(1(x1))
0(q3(x1)) -> q4(0(x1))
0(q4(0(x1))) -> 1(0(q5(x1)))
0(q4(1(x1))) -> 1(1(q5(x1)))
0(q4(h(x1))) -> 1(0(q5(h(x1))))
1(q0(0(x1))) -> 0(0(q1(x1)))
1(q0(1(x1))) -> 0(1(q1(x1)))
1(q0(h(x1))) -> 0(0(q1(h(x1))))
1(q1(0(x1))) -> 1(0(q1(x1)))
1(q1(1(x1))) -> 1(1(q1(x1)))
1(q1(h(x1))) -> 1(0(q1(h(x1))))
1(q2(0(x1))) -> 1(0(q2(x1)))
1(q2(1(x1))) -> 1(1(q2(x1)))
1(q2(h(x1))) -> 1(0(q2(h(x1))))
1(q3(x1)) -> q3(1(x1))
1(q4(x1)) -> q4(1(x1))
1(q5(0(x1))) -> 0(0(q1(x1)))
1(q5(1(x1))) -> 0(1(q1(x1)))
1(q5(h(x1))) -> 0(0(q1(h(x1))))
h(q0(x1)) -> h(0(q0(x1)))
h(q1(x1)) -> h(0(q1(x1)))
h(q2(x1)) -> h(0(q2(x1)))
h(q3(x1)) -> h(0(q3(x1)))
h(q4(x1)) -> h(0(q4(x1)))
h(q5(x1)) -> h(0(q5(x1)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 0#(q0(0(x1))) -> 0#(0(q0(x1)))
 0#(q0(0(x1))) -> 0#(q0(x1))
 0#(q0(1(x1))) -> 0#(1(q0(x1)))
 0#(q0(1(x1))) -> 1#(q0(x1))
 0#(q0(h(x1))) -> 0#(0(q0(h(x1))))
 0#(q0(h(x1))) -> 0#(q0(h(x1)))
 0#(q1(0(x1))) -> 0#(0(q2(x1)))
 0#(q1(0(x1))) -> 0#(q2(x1))
 0#(q1(1(x1))) -> 0#(1(q2(x1)))
 0#(q1(1(x1))) -> 1#(q2(x1))
 0#(q1(h(x1))) -> 0#(0(q2(h(x1))))
 0#(q1(h(x1))) -> 0#(q2(h(x1)))
 0#(q2(x1)) -> 1#(x1)
 0#(q3(x1)) -> 0#(x1)
 0#(q4(1(x1))) -> 1#(1(q5(x1)))
 0#(q4(1(x1))) -> 1#(q5(x1))
 0#(q4(h(x1))) -> 0#(q5(h(x1)))
 0#(q4(h(x1))) -> 1#(0(q5(h(x1))))
 1#(q0(0(x1))) -> 0#(0(q1(x1)))
 1#(q0(0(x1))) -> 0#(q1(x1))
 1#(q0(1(x1))) -> 0#(1(q1(x1)))
 1#(q0(1(x1))) -> 1#(q1(x1))
 1#(q0(h(x1))) -> 0#(0(q1(h(x1))))
 1#(q0(h(x1))) -> 0#(q1(h(x1)))
 1#(q1(0(x1))) -> 0#(q1(x1))
 1#(q1(0(x1))) -> 1#(0(q1(x1)))
 1#(q1(1(x1))) -> 1#(1(q1(x1)))
 1#(q1(1(x1))) -> 1#(q1(x1))
 1#(q1(h(x1))) -> 0#(q1(h(x1)))
 1#(q1(h(x1))) -> 1#(0(q1(h(x1))))
 1#(q2(0(x1))) -> 0#(q2(x1))
 1#(q2(0(x1))) -> 1#(0(q2(x1)))
 1#(q2(1(x1))) -> 1#(1(q2(x1)))
 1#(q2(1(x1))) -> 1#(q2(x1))
 1#(q2(h(x1))) -> 0#(q2(h(x1)))
 1#(q2(h(x1))) -> 1#(0(q2(h(x1))))
 1#(q3(x1)) -> 1#(x1)
 1#(q4(x1)) -> 1#(x1)
 1#(q5(0(x1))) -> 0#(0(q1(x1)))
 1#(q5(0(x1))) -> 0#(q1(x1))
 1#(q5(1(x1))) -> 0#(1(q1(x1)))
 1#(q5(1(x1))) -> 1#(q1(x1))
 1#(q5(h(x1))) -> 0#(0(q1(h(x1))))
 1#(q5(h(x1))) -> 0#(q1(h(x1)))
 H(q0(x1)) -> 0#(q0(x1))
 H(q0(x1)) -> H(0(q0(x1)))
 H(q1(x1)) -> 0#(q1(x1))
 H(q1(x1)) -> H(0(q1(x1)))
 H(q2(x1)) -> 0#(q2(x1))
 H(q2(x1)) -> H(0(q2(x1)))
 H(q3(x1)) -> 0#(q3(x1))
 H(q3(x1)) -> H(0(q3(x1)))
 H(q4(x1)) -> 0#(q4(x1))
 H(q4(x1)) -> H(0(q4(x1)))
-> Rules:
 0(q0(0(x1))) -> 0(0(q0(x1)))
 0(q0(1(x1))) -> 0(1(q0(x1)))
 0(q0(h(x1))) -> 0(0(q0(h(x1))))
 0(q1(0(x1))) -> 0(0(q2(x1)))
 0(q1(1(x1))) -> 0(1(q2(x1)))
 0(q1(h(x1))) -> 0(0(q2(h(x1))))
 0(q2(x1)) -> q3(1(x1))
 0(q3(x1)) -> q4(0(x1))
 0(q4(0(x1))) -> 1(0(q5(x1)))
 0(q4(1(x1))) -> 1(1(q5(x1)))
 0(q4(h(x1))) -> 1(0(q5(h(x1))))
 1(q0(0(x1))) -> 0(0(q1(x1)))
 1(q0(1(x1))) -> 0(1(q1(x1)))
 1(q0(h(x1))) -> 0(0(q1(h(x1))))
 1(q1(0(x1))) -> 1(0(q1(x1)))
 1(q1(1(x1))) -> 1(1(q1(x1)))
 1(q1(h(x1))) -> 1(0(q1(h(x1))))
 1(q2(0(x1))) -> 1(0(q2(x1)))
 1(q2(1(x1))) -> 1(1(q2(x1)))
 1(q2(h(x1))) -> 1(0(q2(h(x1))))
 1(q3(x1)) -> q3(1(x1))
 1(q4(x1)) -> q4(1(x1))
 1(q5(0(x1))) -> 0(0(q1(x1)))
 1(q5(1(x1))) -> 0(1(q1(x1)))
 1(q5(h(x1))) -> 0(0(q1(h(x1))))
 h(q0(x1)) -> h(0(q0(x1)))
 h(q1(x1)) -> h(0(q1(x1)))
 h(q2(x1)) -> h(0(q2(x1)))
 h(q3(x1)) -> h(0(q3(x1)))
 h(q4(x1)) -> h(0(q4(x1)))
 h(q5(x1)) -> h(0(q5(x1)))

Problem 1: 

Infinite Processor:
-> Pairs:
 0#(q0(0(x1))) -> 0#(0(q0(x1)))
 0#(q0(0(x1))) -> 0#(q0(x1))
 0#(q0(1(x1))) -> 0#(1(q0(x1)))
 0#(q0(1(x1))) -> 1#(q0(x1))
 0#(q0(h(x1))) -> 0#(0(q0(h(x1))))
 0#(q0(h(x1))) -> 0#(q0(h(x1)))
 0#(q1(0(x1))) -> 0#(0(q2(x1)))
 0#(q1(0(x1))) -> 0#(q2(x1))
 0#(q1(1(x1))) -> 0#(1(q2(x1)))
 0#(q1(1(x1))) -> 1#(q2(x1))
 0#(q1(h(x1))) -> 0#(0(q2(h(x1))))
 0#(q1(h(x1))) -> 0#(q2(h(x1)))
 0#(q2(x1)) -> 1#(x1)
 0#(q3(x1)) -> 0#(x1)
 0#(q4(1(x1))) -> 1#(1(q5(x1)))
 0#(q4(1(x1))) -> 1#(q5(x1))
 0#(q4(h(x1))) -> 0#(q5(h(x1)))
 0#(q4(h(x1))) -> 1#(0(q5(h(x1))))
 1#(q0(0(x1))) -> 0#(0(q1(x1)))
 1#(q0(0(x1))) -> 0#(q1(x1))
 1#(q0(1(x1))) -> 0#(1(q1(x1)))
 1#(q0(1(x1))) -> 1#(q1(x1))
 1#(q0(h(x1))) -> 0#(0(q1(h(x1))))
 1#(q0(h(x1))) -> 0#(q1(h(x1)))
 1#(q1(0(x1))) -> 0#(q1(x1))
 1#(q1(0(x1))) -> 1#(0(q1(x1)))
 1#(q1(1(x1))) -> 1#(1(q1(x1)))
 1#(q1(1(x1))) -> 1#(q1(x1))
 1#(q1(h(x1))) -> 0#(q1(h(x1)))
 1#(q1(h(x1))) -> 1#(0(q1(h(x1))))
 1#(q2(0(x1))) -> 0#(q2(x1))
 1#(q2(0(x1))) -> 1#(0(q2(x1)))
 1#(q2(1(x1))) -> 1#(1(q2(x1)))
 1#(q2(1(x1))) -> 1#(q2(x1))
 1#(q2(h(x1))) -> 0#(q2(h(x1)))
 1#(q2(h(x1))) -> 1#(0(q2(h(x1))))
 1#(q3(x1)) -> 1#(x1)
 1#(q4(x1)) -> 1#(x1)
 1#(q5(0(x1))) -> 0#(0(q1(x1)))
 1#(q5(0(x1))) -> 0#(q1(x1))
 1#(q5(1(x1))) -> 0#(1(q1(x1)))
 1#(q5(1(x1))) -> 1#(q1(x1))
 1#(q5(h(x1))) -> 0#(0(q1(h(x1))))
 1#(q5(h(x1))) -> 0#(q1(h(x1)))
 H(q0(x1)) -> 0#(q0(x1))
 H(q0(x1)) -> H(0(q0(x1)))
 H(q1(x1)) -> 0#(q1(x1))
 H(q1(x1)) -> H(0(q1(x1)))
 H(q2(x1)) -> 0#(q2(x1))
 H(q2(x1)) -> H(0(q2(x1)))
 H(q3(x1)) -> 0#(q3(x1))
 H(q3(x1)) -> H(0(q3(x1)))
 H(q4(x1)) -> 0#(q4(x1))
 H(q4(x1)) -> H(0(q4(x1)))
-> Rules:
 0(q0(0(x1))) -> 0(0(q0(x1)))
 0(q0(1(x1))) -> 0(1(q0(x1)))
 0(q0(h(x1))) -> 0(0(q0(h(x1))))
 0(q1(0(x1))) -> 0(0(q2(x1)))
 0(q1(1(x1))) -> 0(1(q2(x1)))
 0(q1(h(x1))) -> 0(0(q2(h(x1))))
 0(q2(x1)) -> q3(1(x1))
 0(q3(x1)) -> q4(0(x1))
 0(q4(0(x1))) -> 1(0(q5(x1)))
 0(q4(1(x1))) -> 1(1(q5(x1)))
 0(q4(h(x1))) -> 1(0(q5(h(x1))))
 1(q0(0(x1))) -> 0(0(q1(x1)))
 1(q0(1(x1))) -> 0(1(q1(x1)))
 1(q0(h(x1))) -> 0(0(q1(h(x1))))
 1(q1(0(x1))) -> 1(0(q1(x1)))
 1(q1(1(x1))) -> 1(1(q1(x1)))
 1(q1(h(x1))) -> 1(0(q1(h(x1))))
 1(q2(0(x1))) -> 1(0(q2(x1)))
 1(q2(1(x1))) -> 1(1(q2(x1)))
 1(q2(h(x1))) -> 1(0(q2(h(x1))))
 1(q3(x1)) -> q3(1(x1))
 1(q4(x1)) -> q4(1(x1))
 1(q5(0(x1))) -> 0(0(q1(x1)))
 1(q5(1(x1))) -> 0(1(q1(x1)))
 1(q5(h(x1))) -> 0(0(q1(h(x1))))
 h(q0(x1)) -> h(0(q0(x1)))
 h(q1(x1)) -> h(0(q1(x1)))
 h(q2(x1)) -> h(0(q2(x1)))
 h(q3(x1)) -> h(0(q3(x1)))
 h(q4(x1)) -> h(0(q4(x1)))
 h(q5(x1)) -> h(0(q5(x1)))
-> Pairs in cycle:
 0#(q0(h(x1))) -> 0#(q0(h(x1)))

The problem is infinite.