details

property	value
status	complete
benchmark	25192.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.60289001465 seconds
cpu usage	3.536320842
max memory	2.50126336E8

stage attributes

key	value
output-size	1626
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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: 0(x1) -> 1(x1) 4(5(4(5(x1)))) -> 4(4(5(5(x1)))) 5(5(5(5(5(5(4(4(4(4(4(4(x1)))))))))))) -> 2(x1) 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: 0(x1) -> 1(x1) 4(5(4(5(x1)))) -> 4(4(5(5(x1)))) 5(5(5(5(5(5(4(4(4(4(4(4(x1)))))))))))) -> 2(x1) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 3, 5, 6, 7 Node 1 is start node and node 3 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled 1_1(0), 2_1(0)* 1 to 5 labelled 4_1(0)* 3 to 3 labelled #_1(0)* 5 to 6 labelled 4_1(0)* 6 to 7 labelled 5_1(0)* 6 to 3 labelled 2_1(1)* 7 to 3 labelled 5_1(0), 2_1(1) ---------------------------------------- (2) YES popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard