details

property	value
status	complete
benchmark	size-12-alpha-3-num-180.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.50645 seconds
cpu usage	26.0698
user time	24.7846
system time	1.28522
max virtual memory	5.9605228E7
max residence set size	3834844.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) FlatCCProof [EQUIVALENT, 0 ms] (4) QTRS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, 3 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 33 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 47 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 357 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) AND (17) QDP (18) UsableRulesProof [EQUIVALENT, 0 ms] (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) UsableRulesProof [EQUIVALENT, 0 ms] (24) QDP (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] (26) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(x1) -> x1 a(b(x1)) -> b(a(c(b(a(c(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(x1) -> x1 b(a(x1)) -> c(a(b(c(a(b(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 Q is empty. ---------------------------------------- (3) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(x1)) -> a(x1) b(a(x1)) -> b(x1) c(a(x1)) -> c(x1) a(b(a(x1))) -> a(c(a(b(c(a(b(x1))))))) b(b(a(x1))) -> b(c(a(b(c(a(b(x1))))))) c(b(a(x1))) -> c(c(a(b(c(a(b(x1))))))) a(b(x1)) -> a(x1) b(b(x1)) -> b(x1) c(b(x1)) -> c(x1) a(c(c(x1))) -> a(x1) b(c(c(x1))) -> b(x1) c(c(c(x1))) -> c(x1) Q is empty. ---------------------------------------- (5) RootLabelingProof (EQUIVALENT) We used plain root labeling [ROOTLAB] with the following heuristic: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard