details

property	value
status	complete
benchmark	z081.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.22428798676 seconds
cpu usage	13.036366841
max memory	1.557848064E9

stage attributes

key	value
output-size	27903
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 10 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 115 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 3 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 3 ms] (10) QTRS (11) DependencyPairsProof [EQUIVALENT, 5 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 28 ms] (14) QDP (15) PisEmptyProof [EQUIVALENT, 0 ms] (16) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(c(a(x1))) -> a(b(x1)) b(b(b(x1))) -> c(a(c(x1))) c(d(x1)) -> d(c(x1)) c(d(b(x1))) -> d(c(c(x1))) d(c(x1)) -> b(b(b(x1))) c(b(x1)) -> d(a(x1)) d(b(c(x1))) -> a(a(x1)) d(a(x1)) -> b(x1) Q is empty. ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(b(c(a(x1)))) -> b(a(b(x1))) c(b(c(a(x1)))) -> c(a(b(x1))) a(b(c(a(x1)))) -> a(a(b(x1))) d(b(c(a(x1)))) -> d(a(b(x1))) b(b(b(b(x1)))) -> b(c(a(c(x1)))) c(b(b(b(x1)))) -> c(c(a(c(x1)))) a(b(b(b(x1)))) -> a(c(a(c(x1)))) d(b(b(b(x1)))) -> d(c(a(c(x1)))) b(c(d(x1))) -> b(d(c(x1))) c(c(d(x1))) -> c(d(c(x1))) a(c(d(x1))) -> a(d(c(x1))) d(c(d(x1))) -> d(d(c(x1))) b(c(d(b(x1)))) -> b(d(c(c(x1)))) c(c(d(b(x1)))) -> c(d(c(c(x1)))) a(c(d(b(x1)))) -> a(d(c(c(x1)))) d(c(d(b(x1)))) -> d(d(c(c(x1)))) b(d(c(x1))) -> b(b(b(b(x1)))) c(d(c(x1))) -> c(b(b(b(x1)))) a(d(c(x1))) -> a(b(b(b(x1)))) d(d(c(x1))) -> d(b(b(b(x1)))) b(c(b(x1))) -> b(d(a(x1))) c(c(b(x1))) -> c(d(a(x1))) a(c(b(x1))) -> a(d(a(x1))) d(c(b(x1))) -> d(d(a(x1))) b(d(b(c(x1)))) -> b(a(a(x1))) c(d(b(c(x1)))) -> c(a(a(x1))) a(d(b(c(x1)))) -> a(a(a(x1))) d(d(b(c(x1)))) -> d(a(a(x1))) b(d(a(x1))) -> b(b(x1)) c(d(a(x1))) -> c(b(x1)) a(d(a(x1))) -> a(b(x1)) d(d(a(x1))) -> d(b(x1)) Q is empty. ---------------------------------------- popout

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job log

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actions

all output return to SRS Standard