SRS Standard pair #487086664

details
property	value
status	complete
benchmark	167742.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	17.6052 seconds
cpu usage	66.2723
user time	61.8674
system time	4.40491
max virtual memory	1.9021384E7
max residence set size	7598244.0
stage attributes
key	value
starexec-result	YES
output
YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination w.r.t. Q of the given QTRS could be proven:

(0) QTRS
(1) FlatCCProof [EQUIVALENT, 0 ms]
(2) QTRS
(3) RootLabelingProof [EQUIVALENT, 41 ms]
(4) QTRS
(5) QTRSRRRProof [EQUIVALENT, 2522 ms]
(6) QTRS
(7) QTRSRRRProof [EQUIVALENT, 3 ms]
(8) QTRS
(9) QTRSRRRProof [EQUIVALENT, 2 ms]
(10) QTRS
(11) RisEmptyProof [EQUIVALENT, 0 ms]
(12) YES


----------------------------------------

(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   0(0(1(x1))) -> 1(2(1(1(x1))))
   0(2(2(x1))) -> 1(1(2(1(x1))))
   2(0(1(1(x1)))) -> 2(1(0(1(x1))))
   0(1(0(0(2(x1))))) -> 1(2(1(1(2(2(x1))))))
   2(0(0(2(1(x1))))) -> 0(0(2(1(2(1(x1))))))
   0(1(1(0(2(2(x1)))))) -> 1(2(1(2(1(1(2(x1)))))))
   1(1(0(0(2(1(x1)))))) -> 1(0(2(0(1(2(1(x1)))))))
   2(2(0(2(2(0(x1)))))) -> 0(0(1(2(1(0(1(x1)))))))
   0(1(1(2(1(0(0(x1))))))) -> 1(2(1(2(2(1(2(1(x1))))))))
   1(0(2(2(1(0(2(x1))))))) -> 1(2(1(2(2(2(2(1(x1))))))))
   0(0(1(0(2(1(2(1(x1)))))))) -> 0(1(2(0(0(1(2(1(x1))))))))
   0(2(1(2(2(2(0(1(x1)))))))) -> 1(0(1(2(1(2(2(2(1(x1)))))))))
   2(0(2(2(2(1(2(2(x1)))))))) -> 1(2(1(2(1(0(0(1(0(1(x1))))))))))
   0(0(2(0(0(2(2(0(0(x1))))))))) -> 0(1(0(1(1(1(1(2(1(2(x1))))))))))
   0(2(2(0(1(2(1(1(1(x1))))))))) -> 1(2(1(0(1(2(1(1(0(1(x1))))))))))
   1(0(0(2(1(1(0(2(0(x1))))))))) -> 1(1(2(1(1(1(1(1(2(1(x1))))))))))
   1(1(2(2(0(0(1(0(2(x1))))))))) -> 1(2(1(2(0(1(2(2(1(1(x1))))))))))
   0(0(2(2(2(0(1(1(0(0(1(x1))))))))))) -> 0(1(0(2(2(1(2(2(2(1(1(1(x1))))))))))))
   1(0(0(1(0(2(2(0(2(0(0(x1))))))))))) -> 1(0(2(2(2(0(0(0(1(2(1(1(x1))))))))))))
   1(2(0(2(1(1(0(0(1(1(1(0(x1)))))))))))) -> 1(1(0(0(1(0(2(1(1(2(1(0(x1))))))))))))
   0(2(1(0(0(1(0(2(2(2(2(0(0(x1))))))))))))) -> 2(1(2(2(0(1(2(1(0(1(1(2(0(1(x1))))))))))))))
   1(1(2(1(2(2(0(0(0(2(0(0(1(x1))))))))))))) -> 1(2(1(2(1(1(1(1(0(1(1(2(1(0(1(x1)))))))))))))))
   2(0(1(2(2(2(0(2(2(2(2(2(0(x1))))))))))))) -> 0(1(2(1(0(2(1(2(2(0(2(0(1(1(x1))))))))))))))
   0(0(2(0(1(0(2(2(2(2(0(1(0(0(x1)))))))))))))) -> 1(0(2(1(0(0(1(2(1(1(0(2(0(1(1(x1)))))))))))))))
   0(0(2(1(2(0(2(1(0(2(2(1(0(2(x1)))))))))))))) -> 2(1(2(1(0(1(2(2(2(0(1(2(2(0(1(x1)))))))))))))))
   2(2(2(0(2(0(2(0(0(2(2(0(1(0(x1)))))))))))))) -> 0(0(1(2(2(1(2(2(2(2(2(1(1(1(1(x1)))))))))))))))
   0(1(2(2(1(0(0(0(2(0(2(0(0(2(1(x1))))))))))))))) -> 1(0(2(1(0(1(1(1(1(1(1(2(1(1(0(2(1(x1)))))))))))))))))
   2(2(0(0(1(1(2(2(1(0(0(2(2(2(0(x1))))))))))))))) -> 2(2(1(1(2(0(2(2(0(0(2(0(2(0(1(x1)))))))))))))))
   2(2(0(2(1(0(1(0(2(1(1(1(0(2(2(x1))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(1(0(2(0(0(2(1(1(x1))))))))))))))))))
   0(1(0(2(0(0(2(0(0(1(2(0(0(2(2(0(x1)))))))))))))))) -> 0(1(1(2(0(1(2(0(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))
   2(0(0(1(2(2(0(1(0(0(1(0(1(0(2(2(x1)))))))))))))))) -> 1(2(1(2(1(2(0(1(1(2(2(1(2(2(0(2(0(2(x1))))))))))))))))))
   2(0(0(2(0(1(0(0(2(2(2(0(1(0(2(0(x1)))))))))))))))) -> 2(0(2(1(2(2(2(0(0(1(1(2(1(0(1(1(0(x1)))))))))))))))))
   2(2(2(0(2(1(0(2(1(2(2(1(0(0(0(1(x1)))))))))))))))) -> 0(1(1(0(1(2(0(0(1(2(1(0(1(0(1(2(1(1(1(x1)))))))))))))))))))
   0(0(0(2(2(0(1(0(1(1(2(2(1(1(0(2(1(x1))))))))))))))))) -> 0(1(1(0(1(2(0(0(2(2(1(2(1(2(2(0(0(1(x1))))))))))))))))))
   1(0(2(0(2(1(2(2(2(0(0(2(0(1(1(2(2(x1))))))))))))))))) -> 1(1(1(2(0(0(1(1(0(1(1(1(1(0(0(1(1(1(x1))))))))))))))))))
   1(2(0(2(0(0(0(1(1(0(2(1(2(0(0(2(2(x1))))))))))))))))) -> 1(1(1(0(0(0(1(0(2(1(2(1(0(2(1(2(0(0(x1))))))))))))))))))
   2(0(0(1(0(2(2(2(2(2(2(2(0(1(1(2(0(x1))))))))))))))))) -> 0(0(0(0(2(2(1(2(1(2(1(1(0(0(0(2(1(2(x1))))))))))))))))))
   2(2(2(0(2(2(2(1(2(2(0(1(1(1(2(2(0(x1))))))))))))))))) -> 2(0(0(0(1(0(0(2(0(2(1(2(2(1(1(2(1(1(x1))))))))))))))))))
   2(2(2(2(1(2(1(0(1(0(0(1(1(0(2(0(0(x1))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(1(2(x1)))))))))))))))))))
   0(0(1(0(1(2(2(0(2(2(1(2(0(0(2(0(2(0(0(x1))))))))))))))))))) -> 0(1(1(1(1(2(0(2(2(0(2(1(2(1(2(1(1(2(1(0(1(x1)))))))))))))))))))))
   0(0(2(0(0(0(1(1(0(0(2(1(1(2(0(2(2(0(1(2(x1)))))))))))))))))))) -> 0(1(1(0(2(0(0(2(1(2(0(0(1(1(2(1(1(2(1(2(1(0(x1))))))))))))))))))))))
   0(0(2(2(2(0(1(1(0(2(2(1(1(2(2(2(0(2(0(0(x1)))))))))))))))))))) -> 2(0(0(2(1(1(2(2(1(2(2(2(1(1(1(1(2(2(2(1(2(2(x1))))))))))))))))))))))
   0(1(1(0(0(0(0(2(2(2(2(0(1(0(1(2(2(0(0(0(x1)))))))))))))))))))) -> 1(0(0(0(0(1(1(1(2(1(0(2(0(1(0(1(1(2(0(1(0(x1)))))))))))))))))))))
   0(2(1(1(2(0(2(2(2(0(0(1(2(0(2(2(0(2(2(2(x1)))))))))))))))))))) -> 1(0(2(2(1(2(2(1(2(2(0(1(2(1(0(0(1(2(1(0(1(2(x1))))))))))))))))))))))
   1(0(0(2(1(1(1(0(0(0(1(0(2(0(0(1(0(0(2(2(x1)))))))))))))))))))) -> 1(2(1(0(2(2(0(1(1(2(1(1(0(1(1(2(0(0(1(0(2(x1)))))))))))))))))))))
   1(0(2(2(1(1(0(0(2(0(2(2(1(2(1(1(0(1(2(2(x1)))))))))))))))))))) -> 1(2(0(2(1(0(2(0(2(2(0(0(1(2(1(2(2(1(1(1(x1))))))))))))))))))))
   2(0(0(1(2(2(1(1(0(1(1(0(1(1(2(0(0(0(1(0(x1)))))))))))))))))))) -> 2(0(1(1(0(2(1(0(0(1(0(2(1(2(0(1(0(0(1(1(x1))))))))))))))))))))
   2(1(1(1(0(2(0(2(2(1(1(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))) -> 1(1(1(1(1(2(2(2(1(2(0(0(1(2(1(1(1(1(0(0(2(x1)))))))))))))))))))))
   2(2(0(1(2(2(0(0(0(1(2(0(2(1(0(0(1(2(0(2(x1)))))))))))))))))))) -> 2(0(0(0(1(2(1(2(0(0(2(2(2(0(0(0(0(1(2(1(2(x1)))))))))))))))))))))
   0(0(1(2(2(1(2(2(1(2(1(1(1(0(2(2(0(0(0(0(0(x1))))))))))))))))))))) -> 0(0(1(1(2(1(2(1(2(2(0(0(1(2(0(1(2(1(1(2(1(2(x1))))))))))))))))))))))
   0(1(0(0(0(0(1(0(0(0(0(1(0(0(2(2(1(2(2(2(1(x1))))))))))))))))))))) -> 1(1(1(0(2(2(0(1(1(1(0(0(0(1(0(1(1(2(0(1(2(1(x1))))))))))))))))))))))
   0(1(1(0(2(0(0(1(0(1(1(0(0(2(0(1(0(0(2(1(0(x1))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(2(1(1(1(0(1(1(1(0(0(1(1(1(x1))))))))))))))))))))))))
   0(2(0(1(2(0(1(0(0(0(0(0(0(1(1(1(2(2(1(1(1(x1))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(2(1(0(0(1(0(1(1(0(0(1(2(1(1(x1))))))))))))))))))))))
   1(0(1(0(0(2(0(1(1(0(2(1(0(0(2(2(1(1(0(0(1(x1))))))))))))))))))))) -> 1(0(0(0(1(2(0(1(1(2(2(0(2(1(2(1(0(2(2(1(1(2(1(x1)))))))))))))))))))))))
   1(0(1(2(2(0(2(0(0(2(2(0(2(0(1(2(2(0(0(2(2(x1))))))))))))))))))))) -> 1(0(0(1(0(1(2(2(2(1(1(1(1(1(0(1(2(2(1(1(2(0(x1))))))))))))))))))))))
   2(1(0(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(2(x1))))))))))))))))))))) -> 0(2(2(0(0(1(1(2(1(1(2(2(2(1(1(2(0(1(1(1(1(2(1(1(x1))))))))))))))))))))))))
   2(2(2(2(1(0(2(2(1(1(0(2(0(2(1(1(2(0(1(2(0(x1))))))))))))))))))))) -> 1(0(1(0(1(1(2(1(2(1(0(2(2(1(2(0(1(1(2(2(0(0(x1))))))))))))))))))))))
   0(0(2(2(2(2(0(0(1(0(2(1(0(0(0(2(1(0(2(2(0(0(x1)))))))))))))))))))))) -> 1(1(1(2(1(0(1(2(2(1(0(2(0(0(1(2(1(0(0(1(0(1(1(1(x1))))))))))))))))))))))))
   0(2(2(0(1(1(1(2(2(0(2(1(0(0(2(2(0(0(0(1(2(2(x1)))))))))))))))))))))) -> 0(1(2(1(2(1(0(2(1(1(1(1(0(1(1(1(1(1(2(0(2(2(1(0(x1))))))))))))))))))))))))
   1(0(2(2(1(0(1(0(1(1(2(0(1(2(0(2(0(0(2(2(2(1(x1)))))))))))))))))))))) -> 1(1(1(0(2(2(1(1(1(2(1(1(0(0(1(2(1(1(2(0(2(1(1(2(1(x1)))))))))))))))))))))))))
   1(1(0(0(1(2(0(1(2(0(0(1(2(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))) -> 1(0(1(2(1(2(1(2(0(1(1(2(1(1(2(1(2(1(1(1(1(1(1(0(x1))))))))))))))))))))))))
   2(0(1(1(1(2(0(2(1(0(2(2(2(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))))) -> 1(2(0(2(1(2(1(2(1(0(0(2(2(0(2(2(0(2(0(2(1(2(x1))))))))))))))))))))))
   2(2(2(0(0(2(1(1(2(0(2(1(0(2(1(2(2(0(1(1(1(2(x1)))))))))))))))))))))) -> 1(2(2(2(0(2(2(0(1(2(1(2(1(2(1(2(0(0(2(1(0(2(2(x1)))))))))))))))))))))))
   0(0(1(2(0(0(1(1(1(1(0(2(1(1(2(0(2(0(2(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(0(0(1(1(2(1(0(0(1(1(1(0(2(0(1(1(2(0(2(0(1(1(x1))))))))))))))))))))))))
   0(2(0(2(0(1(1(0(2(0(2(0(0(1(1(0(2(0(2(0(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(0(1(0(2(0(1(2(0(0(2(0(1(1(0(1(1(2(x1)))))))))))))))))))))))
   2(0(0(1(2(0(2(0(2(2(0(0(1(2(1(1(1(0(0(1(0(0(2(x1))))))))))))))))))))))) -> 1(2(1(1(2(1(1(0(2(1(1(0(0(2(0(2(2(0(1(0(2(2(1(2(x1))))))))))))))))))))))))
   2(0(0(2(0(1(0(2(0(0(0(0(2(2(1(0(2(2(0(2(1(1(1(x1))))))))))))))))))))))) -> 1(0(2(1(1(1(1(2(2(2(0(0(1(1(2(0(1(1(1(0(2(1(1(1(x1))))))))))))))))))))))))
   2(2(0(2(2(2(2(2(0(1(1(0(1(1(2(0(2(2(0(2(0(0(0(x1))))))))))))))))))))))) -> 2(2(2(2(1(1(2(1(0(1(1(0(2(1(2(1(1(0(0(2(2(2(2(2(x1))))))))))))))))))))))))
   1(1(0(2(2(1(2(0(0(0(2(2(1(2(0(2(2(0(0(0(1(2(0(2(x1)))))))))))))))))))))))) -> 1(2(2(2(0(2(1(2(0(2(2(2(2(1(2(1(0(0(2(0(2(1(1(2(1(x1)))))))))))))))))))))))))
   2(0(0(0(2(0(0(1(0(2(2(0(0(0(1(2(1(0(0(1(2(0(1(2(x1)))))))))))))))))))))))) -> 2(1(0(1(2(1(2(2(1(2(2(2(1(2(2(2(1(2(1(0(1(2(0(2(2(0(x1))))))))))))))))))))))))))
   2(2(2(2(1(1(0(0(2(1(2(0(2(0(1(2(0(1(1(0(0(1(2(0(x1)))))))))))))))))))))))) -> 0(1(2(2(0(1(2(0(0(1(1(1(2(1(2(0(2(1(2(1(2(1(1(1(1(2(x1))))))))))))))))))))))))))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to SRS Standard