details

property	value
status	complete
benchmark	Ex6_GM04_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n030.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.14477705956 seconds
cpu usage	3.438536613
max memory	2.38497792E8

stage attributes

key	value
output-size	1841
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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__c -> a__f(g(c)) a__f(g(X)) -> g(X) mark(c) -> a__c mark(f(X)) -> a__f(X) mark(g(X)) -> g(X) a__c -> c a__f(X) -> f(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: a__c -> a__f(g(c)) a__f(g(X)) -> g(X) mark(c) -> a__c mark(f(X)) -> a__f(X) mark(g(X)) -> g(X) a__c -> c a__f(X) -> f(X) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 5, 6, 9, 10 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 5 labelled a__f_1(0), f_1(1)* 1 to 2 labelled g_1(0), a__c(0), a__f_1(0), c(0), f_1(0), c(1), f_1(1), g_1(1)* 1 to 9 labelled a__f_1(1), f_1(2)* 1 to 6 labelled g_1(1)* 1 to 10 labelled g_1(2)* 2 to 2 labelled #_1(0)* 5 to 6 labelled g_1(0)* 6 to 2 labelled c(0)* 9 to 10 labelled g_1(1)* 10 to 2 labelled c(1) ---------------------------------------- (2) YES popout

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job log

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actions

all output return to TRS Stand 20472