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SRS Standard pair #487090924
details
property
value
status
complete
benchmark
secr5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
41.9014 seconds
cpu usage
161.754
user time
157.962
system time
3.79259
max virtual memory
4.0710372E7
max residence set size
6130012.0
stage attributes
key
value
starexec-result
YES
output
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) FlatCCProof [EQUIVALENT, 0 ms] (4) QTRS (5) RootLabelingProof [EQUIVALENT, 0 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 35 ms] (8) QTRS (9) DependencyPairsProof [EQUIVALENT, 0 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 475 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 1 ms] (16) AND (17) QDP (18) UsableRulesProof [EQUIVALENT, 0 ms] (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) QDPOrderProof [EQUIVALENT, 61 ms] (24) QDP (25) QDPOrderProof [EQUIVALENT, 474 ms] (26) QDP (27) QDPOrderProof [EQUIVALENT, 6647 ms] (28) QDP (29) QDPOrderProof [EQUIVALENT, 50 ms] (30) QDP (31) QDPOrderProof [EQUIVALENT, 41 ms] (32) QDP (33) PisEmptyProof [EQUIVALENT, 0 ms] (34) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(c(x1)) -> a(x1) d(a(x1)) -> a(c(b(c(d(x1))))) a(c(b(c(x1)))) -> c(b(c(c(x1)))) c(x1) -> b(a(a(x1))) d(c(x1)) -> a(c(d(a(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: c(a(x1)) -> a(x1) a(d(x1)) -> d(c(b(c(a(x1))))) c(b(c(a(x1)))) -> c(c(b(c(x1)))) c(x1) -> a(a(b(x1))) c(d(x1)) -> a(d(c(a(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: c(b(c(a(x1)))) -> c(c(b(c(x1)))) c(c(a(x1))) -> c(a(x1)) a(c(a(x1))) -> a(a(x1)) d(c(a(x1))) -> d(a(x1)) b(c(a(x1))) -> b(a(x1)) c(a(d(x1))) -> c(d(c(b(c(a(x1)))))) a(a(d(x1))) -> a(d(c(b(c(a(x1)))))) d(a(d(x1))) -> d(d(c(b(c(a(x1)))))) b(a(d(x1))) -> b(d(c(b(c(a(x1))))))
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