details

property	value
status	complete
benchmark	Ex14_AEGL02_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.09342 seconds
cpu usage	5.47671
user time	5.24967
system time	0.227046
max virtual memory	1.8477524E7
max residence set size	369452.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPOrderProof [EQUIVALENT, 26 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 13 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) QDP (17) UsableRulesProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__length(nil) -> 0 a__length(cons(X, Y)) -> s(a__length1(Y)) a__length1(X) -> a__length(X) mark(from(X)) -> a__from(mark(X)) mark(length(X)) -> a__length(X) mark(length1(X)) -> a__length1(X) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(s(X)) -> s(mark(X)) mark(nil) -> nil mark(0) -> 0 a__from(X) -> from(X) a__length(X) -> length(X) a__length1(X) -> length1(X) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: A__FROM(X) -> MARK(X) A__LENGTH(cons(X, Y)) -> A__LENGTH1(Y) A__LENGTH1(X) -> A__LENGTH(X) MARK(from(X)) -> A__FROM(mark(X)) MARK(from(X)) -> MARK(X) MARK(length(X)) -> A__LENGTH(X) MARK(length1(X)) -> A__LENGTH1(X) MARK(cons(X1, X2)) -> MARK(X1) MARK(s(X)) -> MARK(X) The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__length(nil) -> 0 a__length(cons(X, Y)) -> s(a__length1(Y)) a__length1(X) -> a__length(X) mark(from(X)) -> a__from(mark(X)) mark(length(X)) -> a__length(X) mark(length1(X)) -> a__length1(X) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(s(X)) -> s(mark(X)) mark(nil) -> nil mark(0) -> 0 a__from(X) -> from(X) a__length(X) -> length(X) a__length1(X) -> length1(X) Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (3) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 2 less nodes. ---------------------------------------- popout

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actions

all output return to TRS Standard