SRS Standard pair #487087594

details
property	value
status	complete
benchmark	158620.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.519 seconds
cpu usage	41.7749
user time	38.7748
system time	3.00014
max virtual memory	1.8952992E7
max residence set size	6044260.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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) QTRS Reverse [EQUIVALENT, 0 ms]
(2) QTRS
(3) FlatCCProof [EQUIVALENT, 0 ms]
(4) QTRS
(5) RootLabelingProof [EQUIVALENT, 19 ms]
(6) QTRS
(7) QTRSRRRProof [EQUIVALENT, 1602 ms]
(8) QTRS
(9) QTRSRRRProof [EQUIVALENT, 206 ms]
(10) QTRS
(11) QTRSRRRProof [EQUIVALENT, 2 ms]
(12) QTRS
(13) QTRSRRRProof [EQUIVALENT, 19 ms]
(14) QTRS
(15) DependencyPairsProof [EQUIVALENT, 7 ms]
(16) QDP
(17) DependencyGraphProof [EQUIVALENT, 0 ms]
(18) TRUE


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

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

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