details

property	value
status	complete
benchmark	Ex15_Luc06_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n178.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.59958 seconds
cpu usage	3.45584
user time	3.32033
system time	0.135515
max virtual memory	1.8544664E7
max residence set size	251040.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(n__f(n__a)) -> f(n__g(f(n__a))) f(X) -> n__f(X) a -> n__a g(X) -> n__g(X) activate(n__f(X)) -> f(X) activate(n__a) -> a activate(n__g(X)) -> g(X) activate(X) -> X Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: f(n__f(n__a)) -> f(n__g(f(n__a))) f(X) -> n__f(X) a -> n__a g(X) -> n__g(X) activate(n__f(X)) -> f(X) activate(n__a) -> a activate(n__g(X)) -> g(X) activate(X) -> X The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 11, 12, 13, 14, 15, 16 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 11 labelled f_1(0), n__f_1(1)* 1 to 2 labelled n__f_1(0), n__a(0), n__g_1(0), f_1(0), a(0), g_1(0), activate_1(0), n__f_1(1), n__a(1), n__g_1(1), f_1(1), a(1), g_1(1), activate_1(1), n__f_1(2), n__a(2), n__g_1(2)* 1 to 14 labelled f_1(1), n__f_1(2)* 2 to 2 labelled #_1(0)* 11 to 12 labelled n__g_1(0)* 12 to 13 labelled f_1(0), n__f_1(1)* 13 to 2 labelled n__a(0)* 14 to 15 labelled n__g_1(1)* 15 to 16 labelled f_1(1), n__f_1(2)* 16 to 2 labelled n__a(1) ---------------------------------------- (2) YES popout

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job log

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actions

all output return to TRS Standard