details

property	value
status	complete
benchmark	Ex1_Zan97_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.6885 seconds
cpu usage	6.76351
user time	6.46331
system time	0.300194
max virtual memory	1.86102E7
max residence set size	222064.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__g(X) -> a__h(X) a__c -> d a__h(d) -> a__g(c) mark(g(X)) -> a__g(X) mark(h(X)) -> a__h(X) mark(c) -> a__c mark(d) -> d a__g(X) -> g(X) a__h(X) -> h(X) a__c -> c The set Q consists of the following terms: a__g(x0) a__c mark(g(x0)) mark(h(x0)) mark(c) mark(d) a__h(x0) ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. The following rules were used to construct the certificate: a__g(X) -> a__h(X) a__c -> d a__h(d) -> a__g(c) mark(g(X)) -> a__g(X) mark(h(X)) -> a__h(X) mark(c) -> a__c mark(d) -> d a__g(X) -> g(X) a__h(X) -> h(X) a__c -> c The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 2 labelled a__h_1(0), d(0), a__g_1(0), a__c(0), g_1(0), h_1(0), c(0), h_1(1), a__h_1(1), g_1(1), d(1), c(1), h_1(2)* 1 to 3 labelled a__g_1(0), a__h_1(1), g_1(1), h_1(2)* 1 to 1 labelled a__g_1(1), a__h_1(2), g_1(2), h_1(3)* 1 to 4 labelled a__g_1(2), a__h_1(3), g_1(3), h_1(4)* 2 to 2 labelled #_1(0)* 3 to 2 labelled c(0)* 4 to 2 labelled c(2) ---------------------------------------- (2) YES popout

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job log

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actions

all output return to TRS Innermost