SRS Standard pair #487515893

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	n031.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	23.232052803 seconds
cpu usage	88.229070194
max memory	7.393959936E9
stage attributes
key	value
output-size	392049
starexec-result	YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 1025 ms]
(4) QTRS
(5) DependencyPairsProof [EQUIVALENT, 339 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) AND
    (9) QDP
        (10) QDPOrderProof [EQUIVALENT, 678 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, 32 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))))))))))))))))))))
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