details

property	value
status	complete
benchmark	#4.21.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n108.star.cs.uiowa.edu
space	Strategy_removed_AG01

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.52613711357 seconds
cpu usage	3.355590452
max memory	2.17882624E8

stage attributes

key	value
output-size	1758
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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: f(1) -> f(g(1)) f(f(x)) -> f(x) g(0) -> g(f(0)) g(g(x)) -> g(x) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. The following rules were used to construct the certificate: f(1) -> f(g(1)) f(f(x)) -> f(x) g(0) -> g(f(0)) g(g(x)) -> g(x) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled f_1(0)* 1 to 2 labelled f_1(0), g_1(0), f_1(1), g_1(1)* 1 to 5 labelled g_1(0)* 1 to 7 labelled f_1(1)* 1 to 9 labelled g_1(1)* 2 to 2 labelled #_1(0)* 3 to 4 labelled g_1(0)* 4 to 2 labelled 1(0)* 5 to 6 labelled f_1(0)* 6 to 2 labelled 0(0)* 7 to 8 labelled g_1(1)* 8 to 2 labelled 1(1)* 9 to 10 labelled f_1(1)* 10 to 2 labelled 0(1) ---------------------------------------- (2) YES popout

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job log

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actions

all output return to TRS Stand 20472