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SRS Standard pair #516972436
details
property
value
status
complete
benchmark
161519.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
53.1915080547 seconds
cpu usage
190.971343198
max memory
9.504620544E9
stage attributes
key
value
output-size
1067444
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 61 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 2290 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 2476 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 6 ms] (10) AND (11) QDP (12) QDPOrderProof [EQUIVALENT, 605 ms] (13) QDP (14) PisEmptyProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPOrderProof [EQUIVALENT, 1909 ms] (18) QDP (19) DependencyGraphProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 301 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(0(1(x1))) -> 0(0(0(0(x1)))) 1(2(1(1(2(1(x1)))))) -> 2(1(2(2(0(0(0(x1))))))) 0(0(1(0(2(2(2(1(x1)))))))) -> 0(0(0(0(0(0(1(0(1(1(0(0(x1)))))))))))) 0(0(2(0(0(1(2(0(x1)))))))) -> 2(0(2(1(0(0(0(0(x1)))))))) 1(1(0(2(2(0(0(2(x1)))))))) -> 2(2(0(1(1(0(0(2(x1)))))))) 0(2(0(0(1(2(1(1(2(x1))))))))) -> 0(2(0(0(0(0(0(0(0(2(x1)))))))))) 1(0(2(2(0(2(1(2(1(x1))))))))) -> 1(0(0(0(1(0(0(0(0(0(0(2(x1)))))))))))) 1(1(1(1(1(0(2(1(0(x1))))))))) -> 2(2(0(1(0(0(0(0(0(0(x1)))))))))) 1(1(2(1(1(2(2(1(2(x1))))))))) -> 2(2(0(0(0(2(0(2(1(0(x1)))))))))) 2(0(2(1(1(2(2(1(2(x1))))))))) -> 1(0(0(0(0(1(0(0(1(0(0(x1))))))))))) 2(1(0(2(0(2(2(1(2(x1))))))))) -> 2(2(1(0(0(0(0(2(1(0(x1)))))))))) 0(0(1(1(2(2(0(0(1(1(x1)))))))))) -> 0(0(2(2(1(1(0(0(1(1(x1)))))))))) 0(1(2(0(2(1(1(1(0(0(x1)))))))))) -> 1(0(2(2(1(0(0(0(0(0(0(0(x1)))))))))))) 1(0(2(2(1(0(0(2(1(2(x1)))))))))) -> 0(0(0(0(2(1(0(0(0(1(1(x1))))))))))) 2(2(2(0(2(1(1(1(1(2(x1)))))))))) -> 0(0(0(0(2(2(2(2(1(0(1(x1))))))))))) 0(1(1(2(0(0(2(0(2(1(1(x1))))))))))) -> 0(0(0(0(0(2(0(0(1(0(2(0(x1)))))))))))) 1(0(2(0(2(0(0(1(1(1(2(x1))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(2(x1)))))))))))) 1(1(2(0(1(2(0(1(0(2(1(x1))))))))))) -> 2(0(0(0(1(0(0(2(1(1(0(1(x1)))))))))))) 1(2(1(2(0(0(2(1(2(1(2(x1))))))))))) -> 1(1(2(1(0(0(0(0(0(2(0(1(0(x1))))))))))))) 2(1(2(2(1(1(1(2(0(1(1(x1))))))))))) -> 2(2(2(0(0(0(0(0(1(0(0(0(1(2(0(x1))))))))))))))) 1(0(1(1(0(2(2(2(2(2(1(2(x1)))))))))))) -> 0(2(2(1(0(0(0(0(2(1(1(2(1(x1))))))))))))) 1(0(2(1(2(0(2(2(0(1(0(1(x1)))))))))))) -> 2(0(1(0(1(2(0(0(2(1(0(0(0(0(x1)))))))))))))) 2(0(2(2(1(2(1(0(1(1(1(2(x1)))))))))))) -> 0(1(2(0(0(0(1(0(0(2(2(2(1(x1))))))))))))) 2(2(0(1(0(2(0(1(1(1(2(0(x1)))))))))))) -> 1(0(2(0(0(0(0(1(2(1(1(2(0(x1))))))))))))) 2(2(2(2(2(1(1(2(1(1(0(1(x1)))))))))))) -> 0(0(1(1(1(0(0(0(0(2(0(2(2(x1))))))))))))) 0(0(2(1(1(0(1(2(1(1(1(0(1(x1))))))))))))) -> 2(1(0(0(0(0(0(0(0(0(1(1(2(2(x1)))))))))))))) 1(1(0(1(0(2(0(0(2(1(1(1(2(x1))))))))))))) -> 0(2(1(0(1(0(2(0(1(0(0(0(0(0(0(x1))))))))))))))) 2(0(2(2(2(1(1(2(2(1(2(2(1(x1))))))))))))) -> 0(2(2(0(0(0(0(0(0(0(1(1(1(2(2(2(0(x1))))))))))))))))) 2(2(2(0(2(1(1(1(2(0(0(1(1(x1))))))))))))) -> 2(0(2(1(0(1(0(0(0(0(0(1(2(1(x1)))))))))))))) 1(2(0(2(2(0(0(1(2(2(0(1(2(2(x1)))))))))))))) -> 2(1(0(1(0(1(1(0(0(0(0(2(0(0(0(0(2(x1))))))))))))))))) 2(1(1(0(0(1(2(0(2(0(2(2(0(1(x1)))))))))))))) -> 0(2(2(2(2(0(0(0(0(0(0(0(2(2(0(x1))))))))))))))) 2(2(0(1(0(1(0(2(0(1(0(0(2(1(x1)))))))))))))) -> 0(0(0(2(2(1(0(0(2(1(1(2(0(1(x1)))))))))))))) 0(1(2(1(0(1(0(0(0(1(0(1(2(2(2(x1))))))))))))))) -> 1(1(2(0(1(0(0(0(0(0(0(0(0(2(2(2(x1)))))))))))))))) 1(0(1(2(2(0(1(2(0(2(0(0(1(1(2(x1))))))))))))))) -> 0(0(0(2(0(1(1(1(1(0(1(1(1(0(0(2(x1)))))))))))))))) 1(1(2(0(2(1(2(2(1(0(2(2(0(0(1(x1))))))))))))))) -> 1(1(0(0(0(2(0(2(1(2(1(2(0(0(0(1(x1)))))))))))))))) 2(0(1(2(1(0(0(1(1(2(2(0(0(2(2(x1))))))))))))))) -> 1(2(0(0(0(0(0(1(2(0(1(0(0(2(1(1(x1)))))))))))))))) 2(0(2(1(0(2(0(0(1(1(1(0(2(2(2(x1))))))))))))))) -> 2(2(2(0(0(0(1(0(0(2(1(1(1(2(0(1(x1)))))))))))))))) 2(1(2(0(0(1(1(2(2(1(2(2(0(2(0(x1))))))))))))))) -> 0(0(0(0(1(1(2(0(2(1(1(0(0(0(0(0(x1)))))))))))))))) 1(0(1(2(2(0(1(0(1(2(0(2(1(1(2(1(x1)))))))))))))))) -> 2(2(0(1(2(2(2(0(1(0(0(0(2(0(2(2(0(x1))))))))))))))))) 2(1(1(0(2(0(0(0(2(2(0(2(0(2(1(2(x1)))))))))))))))) -> 0(0(0(0(1(0(0(1(1(1(0(0(2(2(0(0(0(x1))))))))))))))))) 0(2(1(1(2(1(2(0(2(0(0(0(2(1(1(0(2(x1))))))))))))))))) -> 0(0(1(0(1(0(0(0(1(0(0(0(1(0(0(2(0(0(x1)))))))))))))))))) 0(2(2(1(2(0(2(1(0(2(2(1(1(1(1(1(1(x1))))))))))))))))) -> 1(0(0(1(1(2(1(1(0(1(1(0(2(0(0(1(0(0(x1)))))))))))))))))) 2(2(1(0(2(1(2(0(2(1(1(2(0(0(1(1(2(x1))))))))))))))))) -> 2(0(0(2(0(2(1(2(1(0(2(0(0(0(0(2(1(2(x1)))))))))))))))))) 2(2(2(0(1(2(1(0(1(1(0(1(1(0(0(2(2(x1))))))))))))))))) -> 0(2(1(2(1(2(0(0(1(0(0(0(1(0(0(0(1(2(0(2(x1)))))))))))))))))))) 2(2(2(0(2(2(0(1(1(0(0(1(0(2(2(2(2(x1))))))))))))))))) -> 2(1(0(1(1(1(2(2(1(1(0(2(2(0(0(0(0(0(0(1(x1)))))))))))))))))))) 2(2(2(2(0(1(1(2(1(0(0(1(1(2(0(2(1(x1))))))))))))))))) -> 2(1(0(2(0(1(0(0(0(0(1(0(0(0(0(1(1(0(0(0(x1)))))))))))))))))))) 0(2(1(1(2(2(1(1(1(0(1(1(1(2(0(0(1(1(x1)))))))))))))))))) -> 0(0(0(0(2(0(0(0(0(2(0(0(0(2(2(0(1(0(0(0(2(2(0(x1))))))))))))))))))))))) 1(0(1(0(2(2(0(2(1(1(1(1(1(0(0(2(2(1(x1)))))))))))))))))) -> 0(2(0(0(0(0(0(2(1(2(2(0(1(2(1(1(0(2(2(x1))))))))))))))))))) 1(0(1(1(1(1(2(1(2(0(2(1(2(1(2(2(0(1(x1)))))))))))))))))) -> 1(0(0(0(2(2(1(1(2(2(1(1(1(1(2(2(1(1(x1)))))))))))))))))) 1(0(1(1(2(2(0(0(2(0(1(2(1(1(1(2(2(2(x1)))))))))))))))))) -> 2(0(0(1(0(0(2(0(1(0(0(1(2(0(2(2(0(2(0(x1))))))))))))))))))) 1(1(1(0(0(1(2(0(0(2(2(0(0(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(2(0(0(0(1(1(2(2(0(0(2(1(1(0(2(2(x1)))))))))))))))))) 1(1(1(0(1(0(0(1(1(2(0(0(1(0(2(0(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(0(0(1(0(0(0(0(1(1(2(1(2(0(x1)))))))))))))))))) 1(2(1(1(0(0(0(1(2(0(2(2(2(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(0(0(0(0(1(1(0(0(0(1(1(1(x1)))))))))))))))))))
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return to SRS Standard