details

property	value
status	complete
benchmark	dpqs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n103.star.cs.uiowa.edu
space	CiME_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.50118684769 seconds
cpu usage	3.133209245
max memory	2.22363648E8

stage attributes

key	value
output-size	2310
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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(f(x)) -> f(c(f(x))) f(f(x)) -> f(d(f(x))) g(c(x)) -> x g(d(x)) -> x g(c(0)) -> g(d(1)) g(c(1)) -> g(d(0)) 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(f(x)) -> f(c(f(x))) f(f(x)) -> f(d(f(x))) g(c(x)) -> x g(d(x)) -> x g(c(0)) -> g(d(1)) g(c(1)) -> g(d(0)) 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, 11, 12, 13, 14 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 5 labelled f_1(0)* 1 to 2 labelled f_1(0), c_1(0), d_1(0), g_1(0), 0(0), 1(0), f_1(1), c_1(1), d_1(1), g_1(1), 0(1), 1(1), 1(2), 0(2)* 1 to 7 labelled g_1(0)* 1 to 9 labelled f_1(1)* 1 to 11 labelled f_1(1)* 1 to 13 labelled g_1(1)* 2 to 2 labelled #_1(0)* 3 to 4 labelled c_1(0)* 4 to 2 labelled f_1(0)* 4 to 9 labelled f_1(1)* 4 to 11 labelled f_1(1)* 5 to 6 labelled d_1(0)* 6 to 2 labelled f_1(0)* 6 to 9 labelled f_1(1)* 6 to 11 labelled f_1(1)* 7 to 8 labelled d_1(0)* 8 to 2 labelled 1(0), 0(0)* 9 to 10 labelled c_1(1)* 10 to 2 labelled f_1(1)* 10 to 9 labelled f_1(1)* 10 to 11 labelled f_1(1)* 11 to 12 labelled d_1(1)* 12 to 2 labelled f_1(1)* 12 to 9 labelled f_1(1)* 12 to 11 labelled f_1(1)* 13 to 14 labelled d_1(1)* 14 to 2 labelled 1(1), 0(1) ---------------------------------------- (2) YES popout

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all output return to TRS Stand 20472