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SRS Standard pair #516970972
details
property
value
status
complete
benchmark
167636.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n166.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
37.0106189251 seconds
cpu usage
142.479643179
max memory
6.541938688E9
stage attributes
key
value
output-size
919302
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) FlatCCProof [EQUIVALENT, 0 ms] (4) QTRS (5) RootLabelingProof [EQUIVALENT, 55 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 3172 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 1339 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 4 ms] (12) AND (13) QDP (14) UsableRulesProof [EQUIVALENT, 0 ms] (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) QDPOrderProof [EQUIVALENT, 753 ms] (20) QDP (21) PisEmptyProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(0(1(0(x1))))) -> 2(2(1(1(1(0(x1)))))) 0(1(0(1(2(2(x1)))))) -> 1(1(2(0(0(2(x1)))))) 2(2(0(0(2(2(x1)))))) -> 2(2(1(1(1(2(0(x1))))))) 0(1(0(0(2(2(2(1(x1)))))))) -> 2(1(1(1(2(0(0(1(1(x1))))))))) 0(1(2(0(1(1(2(1(x1)))))))) -> 1(0(2(2(1(1(0(1(x1)))))))) 0(2(2(2(2(0(1(2(2(x1))))))))) -> 1(1(1(1(0(1(0(0(2(2(x1)))))))))) 2(0(0(0(1(0(2(0(0(x1))))))))) -> 1(0(0(1(2(0(1(1(1(1(2(x1))))))))))) 2(2(1(2(0(0(1(1(2(x1))))))))) -> 0(1(1(1(1(1(2(2(2(1(x1)))))))))) 0(0(0(0(0(1(1(0(1(0(1(x1))))))))))) -> 0(1(2(1(0(1(0(0(1(1(1(1(x1)))))))))))) 0(0(1(0(2(0(0(0(0(0(2(x1))))))))))) -> 1(0(0(1(2(1(2(1(0(1(1(1(x1)))))))))))) 0(2(0(1(0(2(0(1(0(1(2(x1))))))))))) -> 1(0(0(2(1(1(1(1(2(1(1(2(0(x1))))))))))))) 1(0(0(0(2(0(2(1(2(2(0(x1))))))))))) -> 1(0(1(0(0(2(2(2(1(1(1(1(2(x1))))))))))))) 2(2(1(2(0(2(0(1(0(1(2(x1))))))))))) -> 1(1(1(1(0(2(1(2(2(2(1(0(x1)))))))))))) 1(0(1(0(2(2(0(1(0(0(0(0(x1)))))))))))) -> 1(0(0(2(1(2(0(0(0(1(1(1(1(2(x1)))))))))))))) 1(2(1(2(0(1(2(2(2(0(0(1(x1)))))))))))) -> 1(1(1(1(2(1(1(1(1(1(1(1(1(0(1(1(2(x1))))))))))))))))) 0(1(2(2(2(2(2(2(0(0(2(2(1(x1))))))))))))) -> 2(2(0(2(2(0(1(0(1(1(1(1(1(2(2(1(x1)))))))))))))))) 0(2(0(1(1(0(2(2(0(0(1(2(0(x1))))))))))))) -> 2(1(2(1(0(2(1(1(1(1(1(1(0(1(x1)))))))))))))) 0(2(0(2(0(1(0(2(2(1(1(0(0(x1))))))))))))) -> 1(1(1(1(0(2(2(2(2(2(1(1(1(2(0(1(x1)))))))))))))))) 2(0(2(0(0(2(2(2(2(1(2(0(2(x1))))))))))))) -> 0(0(2(0(1(0(0(2(1(1(1(1(1(2(1(2(x1)))))))))))))))) 2(1(0(1(1(0(1(0(2(1(2(0(2(x1))))))))))))) -> 1(1(1(1(1(1(0(0(0(1(0(2(2(2(0(2(x1)))))))))))))))) 2(1(1(0(2(2(1(2(0(2(2(1(2(x1))))))))))))) -> 1(1(1(0(2(1(1(1(1(1(0(1(2(2(2(0(x1)))))))))))))))) 2(1(2(0(0(0(1(0(1(0(0(0(0(x1))))))))))))) -> 2(2(0(1(2(0(0(1(1(1(1(1(1(0(x1)))))))))))))) 0(0(0(2(0(1(1(2(1(1(2(0(1(1(x1)))))))))))))) -> 1(1(2(0(2(0(2(2(1(2(0(1(1(1(1(x1))))))))))))))) 2(1(2(0(1(2(1(2(1(2(1(1(0(0(x1)))))))))))))) -> 1(1(2(0(2(1(2(2(1(2(1(1(0(0(x1)))))))))))))) 1(2(0(1(0(0(1(2(2(0(0(0(0(0(2(x1))))))))))))))) -> 1(1(1(2(1(0(1(1(1(1(2(2(1(1(0(0(0(x1))))))))))))))))) 2(1(1(0(0(0(0(1(0(1(2(2(1(2(1(x1))))))))))))))) -> 2(0(1(1(1(1(2(2(1(1(2(2(1(1(1(2(x1)))))))))))))))) 0(1(0(1(0(1(0(1(0(2(1(1(0(0(0(2(x1)))))))))))))))) -> 0(0(1(1(1(1(2(0(1(0(1(0(0(0(0(2(x1)))))))))))))))) 1(0(2(2(1(0(1(0(1(1(2(2(1(2(0(0(x1)))))))))))))))) -> 1(1(1(1(1(1(1(1(1(1(2(1(2(2(2(2(2(0(2(x1))))))))))))))))))) 2(0(0(0(2(2(0(2(1(0(1(0(2(2(1(1(x1)))))))))))))))) -> 2(1(1(1(1(0(0(0(1(1(2(1(2(0(2(1(1(1(x1)))))))))))))))))) 2(1(2(1(2(0(1(2(0(2(0(0(1(0(2(0(x1)))))))))))))))) -> 1(1(1(0(1(2(2(1(0(1(2(2(2(1(1(1(2(x1))))))))))))))))) 2(2(0(2(2(0(2(2(1(2(0(2(1(0(2(2(x1)))))))))))))))) -> 1(2(1(1(1(2(2(0(1(2(2(1(1(1(2(2(1(1(1(x1))))))))))))))))))) 0(2(2(0(0(2(1(2(2(0(2(1(0(0(0(0(2(x1))))))))))))))))) -> 0(1(0(2(1(2(2(1(2(1(2(2(0(1(1(1(1(2(2(x1))))))))))))))))))) 1(1(2(0(0(0(2(0(0(1(1(0(0(2(1(2(2(x1))))))))))))))))) -> 1(1(2(1(1(1(1(2(2(1(1(2(1(0(0(0(1(1(0(x1))))))))))))))))))) 2(2(2(2(0(1(0(2(2(0(2(0(0(0(0(0(0(x1))))))))))))))))) -> 0(1(2(1(2(2(0(1(0(0(0(1(1(1(1(2(2(1(x1)))))))))))))))))) 0(2(2(2(2(0(2(0(0(1(1(1(0(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(0(2(1(1(1(1(1(1(0(2(2(1(1(1(2(1(2(2(x1)))))))))))))))))))) 1(2(2(0(2(2(0(0(1(2(1(2(0(1(0(2(1(2(x1)))))))))))))))))) -> 1(0(0(2(2(1(0(2(1(1(2(0(1(1(1(1(0(2(0(0(x1)))))))))))))))))))) 2(1(2(0(2(0(0(2(2(1(2(2(0(2(0(2(2(1(x1)))))))))))))))))) -> 0(2(0(0(1(1(1(2(0(2(0(1(0(2(0(2(2(1(1(x1))))))))))))))))))) 0(0(2(2(0(0(1(0(0(1(1(2(1(0(1(0(2(1(2(x1))))))))))))))))))) -> 0(0(2(2(0(0(1(1(2(0(0(1(0(2(1(0(1(1(1(1(1(1(1(x1))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(0(0(2(1(2(1(2(0(1(x1))))))))))))))))))) -> 2(0(0(2(2(1(1(1(2(0(0(2(0(1(1(0(2(1(0(1(x1)))))))))))))))))))) 0(1(2(0(2(1(0(2(0(2(2(1(2(1(2(2(0(2(2(x1))))))))))))))))))) -> 0(2(0(2(0(1(1(1(1(1(2(2(2(0(2(2(0(2(2(2(x1)))))))))))))))))))) 0(1(2(1(2(2(0(1(0(1(0(2(0(1(0(1(0(1(0(x1))))))))))))))))))) -> 1(1(1(0(1(2(0(0(1(1(0(0(0(0(1(2(0(2(2(x1))))))))))))))))))) 0(0(0(0(0(2(1(2(2(2(1(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(2(1(1(1(1(1(1(2(2(2(2(1(0(2(0(0(0(0(0(2(x1)))))))))))))))))))))) 0(1(0(1(2(1(0(1(0(0(2(1(2(0(1(0(2(0(1(2(x1)))))))))))))))))))) -> 2(1(2(1(1(2(0(1(0(1(2(2(0(0(0(1(1(1(2(2(2(x1))))))))))))))))))))) 1(0(2(1(1(2(2(0(1(1(1(2(0(2(0(2(2(2(0(2(x1)))))))))))))))))))) -> 1(1(2(1(2(1(2(2(1(1(1(1(2(2(0(2(1(0(0(0(1(x1))))))))))))))))))))) 1(2(1(1(2(1(1(2(1(0(1(1(1(2(0(1(2(2(0(0(x1)))))))))))))))))))) -> 1(1(1(1(0(1(0(0(0(1(1(1(1(0(0(1(0(1(2(1(2(x1))))))))))))))))))))) 2(0(0(1(2(0(2(2(2(2(0(0(1(1(2(1(2(2(2(2(x1)))))))))))))))))))) -> 1(0(1(0(0(0(1(1(1(2(2(2(1(1(1(2(2(2(2(0(2(1(x1)))))))))))))))))))))) 2(0(0(2(0(0(1(0(0(0(1(1(2(0(0(1(1(0(2(1(x1)))))))))))))))))))) -> 0(1(1(0(2(2(1(1(1(2(2(1(0(2(0(1(1(1(1(2(1(x1))))))))))))))))))))) 2(2(0(0(1(1(2(1(1(0(1(2(0(1(2(0(2(2(0(0(x1)))))))))))))))))))) -> 1(2(0(2(2(2(0(0(0(1(1(1(0(1(1(0(1(1(1(1(1(2(2(x1))))))))))))))))))))))) 0(1(0(1(1(0(1(2(1(2(2(2(1(2(1(0(2(2(0(0(0(x1))))))))))))))))))))) -> 1(0(2(0(0(0(1(0(1(1(1(0(0(2(1(1(1(1(0(1(0(0(1(x1))))))))))))))))))))))) 2(0(1(1(1(0(1(0(2(0(1(1(2(1(0(1(1(2(2(0(1(x1))))))))))))))))))))) -> 2(1(1(1(2(0(0(0(2(0(1(2(0(1(0(2(1(1(1(1(1(x1))))))))))))))))))))) 2(0(2(2(0(1(0(1(0(2(0(1(0(2(2(2(2(0(1(2(0(x1))))))))))))))))))))) -> 1(1(1(2(1(0(0(0(1(2(1(2(2(1(1(1(1(2(1(0(0(1(1(1(1(1(1(0(x1)))))))))))))))))))))))))))) 0(0(2(2(1(2(0(1(0(0(2(1(1(2(0(2(1(0(1(0(0(0(x1)))))))))))))))))))))) -> 2(1(0(2(2(2(1(1(1(1(1(1(1(1(2(0(1(0(0(0(1(1(0(0(x1))))))))))))))))))))))))
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