Platform claims not to support CPU time, falling back to wall time.
Cannot find out cpu time on external processes, falling back to wall time!
proof of /home/fs5/ayamada/tpdb/relative/Relative_05/rt3-6.trs
# AProVE Commit ID: 2b684c7cda508b1711f707cb42f127e64fe1df88 ffrohn 20140415 dirty
Termination of the given RelTRS could be disproven:
(0) RelTRS
(1) RelTRSLoopFinderProof [COMPLETE, 105 ms]
(2) NO
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(0)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:
b(a(x)) -> a(b(x))
The relative TRS consists of the following S rules:
a(x) -> a(a(x))
b(x) -> b(b(x))
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(1) RelTRSLoopFinderProof (COMPLETE)
The following loop was found:
---------- Loop: ----------
b(a(x')) -> b(a(a(x'))) with rule a(x'') -> a(a(x'')) at position [0] and matcher [x'' / x']
b(a(a(x'))) -> a(b(a(x'))) with rule b(a(x)) -> a(b(x)) at position [] and matcher [x / a(x')]
Now an instance of the first term with Matcher [ ] occurs in the last term at position [0].
Context: a([])
Therefore, the relative TRS problem does not terminate.
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(2)
NO