SRS Stand 10685 pair #381717103

details
property	value
status	complete
benchmark	167391.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n082.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	64.6869959831 seconds
cpu usage	247.294317901
max memory	1.1726200832E10
stage attributes
key	value
output-size	1180809
starexec-result	YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 84 ms]
(4) QTRS
(5) QTRSRRRProof [EQUIVALENT, 2396 ms]
(6) QTRS
(7) DependencyPairsProof [EQUIVALENT, 3305 ms]
(8) QDP
(9) DependencyGraphProof [EQUIVALENT, 0 ms]
(10) QDP
(11) QDPOrderProof [EQUIVALENT, 2108 ms]
(12) QDP
(13) DependencyGraphProof [EQUIVALENT, 0 ms]
(14) AND
    (15) QDP
        (16) QDPOrderProof [EQUIVALENT, 245 ms]
        (17) QDP
        (18) PisEmptyProof [EQUIVALENT, 0 ms]
        (19) YES
    (20) QDP
        (21) QDPOrderProof [EQUIVALENT, 244 ms]
        (22) QDP
        (23) PisEmptyProof [EQUIVALENT, 0 ms]
        (24) YES


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

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

   0(1(0(x1))) -> 1(1(1(1(0(x1)))))
   1(0(2(x1))) -> 1(1(1(1(2(x1)))))
   2(1(2(0(0(x1))))) -> 1(1(1(0(1(0(x1))))))
   1(0(1(0(2(0(x1)))))) -> 0(0(1(1(1(1(1(x1)))))))
   2(0(2(1(0(0(x1)))))) -> 2(1(1(1(1(2(2(x1)))))))
   2(1(0(2(2(0(x1)))))) -> 1(1(1(1(1(0(0(1(1(x1)))))))))
   2(1(2(2(2(1(x1)))))) -> 2(0(2(1(1(1(1(x1)))))))
   0(0(0(1(1(2(2(0(x1)))))))) -> 0(1(1(1(1(0(0(0(0(1(x1))))))))))
   1(1(0(2(1(1(0(2(0(x1))))))))) -> 1(1(1(1(2(2(1(1(1(1(0(1(x1))))))))))))
   1(2(0(2(0(1(2(2(2(x1))))))))) -> 2(2(1(1(2(0(0(2(2(x1)))))))))
   0(1(2(0(0(0(2(2(0(0(x1)))))))))) -> 0(1(0(0(2(0(2(2(0(0(x1))))))))))
   0(0(0(0(0(2(2(0(1(2(2(x1))))))))))) -> 1(1(1(1(1(2(1(2(1(0(0(1(0(2(x1))))))))))))))
   0(1(2(0(2(1(2(0(2(0(0(x1))))))))))) -> 2(2(1(2(2(1(1(1(1(1(1(0(1(x1)))))))))))))
   2(0(1(2(0(2(1(0(0(1(0(x1))))))))))) -> 2(1(1(1(0(1(0(1(1(0(2(0(x1))))))))))))
   0(0(1(1(0(2(0(2(2(0(0(2(x1)))))))))))) -> 1(1(1(2(1(0(2(2(0(0(1(1(1(1(1(1(x1))))))))))))))))
   0(2(2(1(2(2(2(1(2(1(2(2(x1)))))))))))) -> 1(1(1(0(2(2(1(1(1(0(1(0(2(0(x1))))))))))))))
   0(0(2(2(2(0(1(0(0(0(0(0(2(x1))))))))))))) -> 0(1(0(1(1(1(2(0(2(2(0(0(1(2(x1))))))))))))))
   0(2(0(0(0(2(0(0(2(1(2(2(0(x1))))))))))))) -> 2(1(1(1(1(1(1(0(0(1(2(1(1(2(0(0(0(x1)))))))))))))))))
   2(0(1(0(2(2(2(2(1(1(0(1(2(x1))))))))))))) -> 2(2(1(0(2(2(0(2(2(0(1(1(1(x1)))))))))))))
   2(2(1(0(0(2(2(0(2(1(0(1(0(x1))))))))))))) -> 1(1(1(1(1(0(2(2(0(1(1(1(2(1(0(x1)))))))))))))))
   0(0(0(0(0(0(1(0(2(1(1(2(2(2(x1)))))))))))))) -> 2(0(0(0(2(0(2(1(1(1(0(1(2(1(2(x1)))))))))))))))
   2(2(2(2(2(2(0(0(0(0(0(2(1(0(x1)))))))))))))) -> 0(0(2(2(1(1(1(2(1(2(0(0(1(1(1(1(x1))))))))))))))))
   0(0(2(1(2(1(2(1(1(0(1(1(2(2(0(x1))))))))))))))) -> 2(0(0(1(0(1(0(2(2(1(0(0(1(1(1(1(x1))))))))))))))))
   1(0(1(2(0(2(1(2(1(0(2(1(2(2(0(x1))))))))))))))) -> 2(1(0(2(1(0(0(1(1(1(1(2(2(0(0(0(x1))))))))))))))))
   1(2(2(0(0(2(2(2(1(2(2(0(1(0(2(x1))))))))))))))) -> 1(0(1(0(1(0(1(1(0(1(0(1(0(1(1(2(x1))))))))))))))))
   2(2(0(1(1(2(2(2(2(2(1(0(2(2(2(x1))))))))))))))) -> 2(2(0(1(1(1(2(0(2(2(1(1(0(0(0(1(x1))))))))))))))))
   0(2(0(0(0(1(0(1(1(0(0(2(1(0(0(2(x1)))))))))))))))) -> 0(0(2(2(0(0(2(2(1(1(1(1(2(2(1(1(0(x1)))))))))))))))))
   1(1(0(1(2(0(0(1(1(2(1(0(2(2(2(2(x1)))))))))))))))) -> 1(1(1(0(2(2(0(1(2(2(1(2(2(0(1(0(x1))))))))))))))))
   2(0(2(2(0(1(1(0(0(2(0(0(0(0(1(2(x1)))))))))))))))) -> 1(1(1(0(1(1(2(1(0(0(1(0(0(1(1(1(0(2(x1))))))))))))))))))
   0(0(1(2(0(0(0(0(2(1(2(2(1(0(1(1(0(x1))))))))))))))))) -> 1(2(2(1(0(1(2(1(1(1(1(0(1(0(1(2(0(2(x1))))))))))))))))))
   0(0(2(0(0(2(0(0(0(1(2(1(2(2(2(0(2(x1))))))))))))))))) -> 2(0(1(2(2(2(1(2(2(2(1(1(1(2(2(1(0(1(x1))))))))))))))))))
   0(2(0(2(0(0(1(0(1(2(2(0(1(2(0(1(0(x1))))))))))))))))) -> 1(1(2(0(2(0(1(0(1(2(1(1(1(2(2(2(0(1(x1))))))))))))))))))
   0(2(2(2(2(1(0(0(1(2(2(1(2(1(0(1(0(x1))))))))))))))))) -> 2(1(1(1(2(1(0(1(2(2(2(1(0(1(2(2(1(1(x1))))))))))))))))))
   1(0(1(0(0(2(2(1(2(1(0(2(0(2(1(2(2(x1))))))))))))))))) -> 1(1(0(2(1(1(1(2(1(2(2(1(1(0(2(2(1(1(0(x1)))))))))))))))))))
   1(1(0(1(2(1(2(1(1(2(1(0(1(0(1(0(2(x1))))))))))))))))) -> 1(1(2(1(2(0(2(1(0(1(2(0(1(0(1(1(1(1(2(x1)))))))))))))))))))
   1(2(1(0(0(1(2(2(2(1(1(1(2(2(1(2(2(x1))))))))))))))))) -> 1(1(2(2(2(2(2(2(2(1(1(1(0(0(2(1(1(x1)))))))))))))))))
   2(0(2(0(0(2(0(0(2(0(2(1(0(1(1(2(1(x1))))))))))))))))) -> 2(1(2(1(1(0(1(1(2(1(2(2(1(1(1(0(0(1(1(x1)))))))))))))))))))
   1(2(2(0(0(1(0(1(2(1(0(1(2(0(1(2(0(0(x1)))))))))))))))))) -> 1(1(1(1(1(1(1(2(2(2(1(1(1(1(0(2(0(1(1(0(2(0(1(1(1(2(x1))))))))))))))))))))))))))
   2(2(0(1(0(2(1(0(2(1(1(0(1(2(2(0(1(0(x1)))))))))))))))))) -> 1(0(0(1(0(0(1(2(1(1(1(1(1(1(1(2(1(2(0(0(0(2(x1))))))))))))))))))))))
   0(0(2(0(0(0(2(2(0(2(2(1(2(0(1(2(1(0(2(x1))))))))))))))))))) -> 2(1(2(1(0(2(2(0(1(0(1(2(0(2(0(0(1(1(1(0(x1))))))))))))))))))))
   0(2(0(2(2(0(0(0(2(1(2(0(1(2(0(2(0(2(0(x1))))))))))))))))))) -> 2(0(2(0(0(1(1(1(2(1(2(0(1(1(1(0(1(0(0(1(1(x1)))))))))))))))))))))
   0(2(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))) -> 1(2(1(1(1(0(1(1(0(2(0(0(2(0(0(1(2(1(2(1(x1))))))))))))))))))))
   1(0(0(0(2(0(2(1(1(2(1(2(1(1(2(0(0(1(2(x1))))))))))))))))))) -> 1(2(2(1(0(1(0(1(1(1(2(0(0(0(0(2(0(1(1(1(1(0(x1))))))))))))))))))))))
   2(0(0(0(1(2(1(1(2(1(2(1(0(1(0(2(1(2(0(x1))))))))))))))))))) -> 1(0(0(1(1(1(1(2(2(1(2(2(0(0(2(2(1(2(2(0(x1))))))))))))))))))))
   2(0(0(1(0(2(2(1(1(0(0(1(2(2(1(2(1(0(0(x1))))))))))))))))))) -> 0(2(0(0(0(0(2(1(1(1(0(0(1(1(1(1(1(2(1(0(1(1(2(x1)))))))))))))))))))))))
   0(0(2(2(2(0(1(1(2(2(0(0(0(0(2(1(2(1(0(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(2(1(2(1(0(1(2(1(1(1(0(1(2(1(x1)))))))))))))))))))))
   0(2(0(2(0(1(0(1(1(2(1(2(2(0(1(0(1(0(2(1(x1)))))))))))))))))))) -> 0(1(1(1(1(1(2(0(1(0(2(2(2(1(0(1(0(2(1(2(1(x1)))))))))))))))))))))
   1(0(1(2(1(2(2(1(1(1(2(2(1(0(1(0(0(0(2(0(x1)))))))))))))))))))) -> 1(1(0(1(1(0(1(2(2(0(2(2(0(2(0(2(1(1(1(1(1(1(x1))))))))))))))))))))))
   1(2(2(0(0(2(1(1(2(0(0(2(1(2(1(1(0(2(2(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(1(1(0(2(0(0(2(0(2(0(0(0(2(2(0(x1))))))))))))))))))))))
   2(1(0(2(1(1(1(0(0(0(1(0(1(1(2(1(1(0(1(0(x1)))))))))))))))))))) -> 2(0(1(1(2(2(1(0(1(1(1(1(1(1(0(1(1(0(1(0(1(x1)))))))))))))))))))))
   0(0(0(0(0(0(2(0(2(2(0(1(1(0(2(0(0(0(2(2(0(x1))))))))))))))))))))) -> 0(2(1(2(1(1(1(2(2(2(1(1(0(2(1(2(1(1(2(1(1(0(x1))))))))))))))))))))))
   0(2(0(2(1(0(0(2(0(1(0(2(1(1(0(1(2(2(2(1(0(x1))))))))))))))))))))) -> 2(1(1(1(1(2(0(1(1(1(1(1(2(2(0(2(2(2(1(0(0(0(1(1(2(1(x1))))))))))))))))))))))))))
   0(2(1(2(2(0(0(1(2(0(1(1(0(2(1(0(1(0(1(1(2(x1))))))))))))))))))))) -> 0(0(1(2(1(0(0(0(1(1(1(1(0(2(0(1(2(1(2(2(2(x1)))))))))))))))))))))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to SRS Stand 10685