SRS Standard pair #487087630

details
property	value
status	complete
benchmark	40976.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)	24.2553 seconds
cpu usage	90.48
user time	86.17
system time	4.31
max virtual memory	1.9351544E7
max residence set size	7840468.0
stage attributes
key	value
starexec-result	YES
output
YES
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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) RootLabelingProof [EQUIVALENT, 24 ms]
(2) QTRS
(3) QTRSRRRProof [EQUIVALENT, 976 ms]
(4) QTRS
(5) DependencyPairsProof [EQUIVALENT, 329 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) AND
    (9) QDP
        (10) QDPOrderProof [EQUIVALENT, 593 ms]
        (11) QDP
        (12) PisEmptyProof [EQUIVALENT, 0 ms]
        (13) YES
    (14) QDP
        (15) UsableRulesProof [EQUIVALENT, 0 ms]
        (16) QDP
        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (18) YES
    (19) QDP
        (20) UsableRulesProof [EQUIVALENT, 0 ms]
        (21) QDP
        (22) QDPOrderProof [EQUIVALENT, 36 ms]
        (23) QDP
        (24) PisEmptyProof [EQUIVALENT, 0 ms]
        (25) YES


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

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

   0(0(0(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
   0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
   0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
   0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
   0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
   0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
   0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
   0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
   0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
   0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
   0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
   0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
   0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
   0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
   0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
   0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
   0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
   0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
   0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
   0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
   0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
   0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
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