details

property	value
status	complete
benchmark	z087.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n009.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.1081199646 seconds
cpu usage	5.558502465
max memory	4.80387072E8

stage attributes

key	value
output-size	1762
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 9 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(x1)) -> c(b(x1)) b(b(x1)) -> a(c(x1)) c(c(x1)) -> b(a(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: a(a(x1)) -> c(b(x1)) b(b(x1)) -> a(c(x1)) c(c(x1)) -> b(a(x1)) 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 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled c_1(0)* 1 to 4 labelled a_1(0)* 1 to 5 labelled b_1(0)* 2 to 2 labelled #_1(0)* 3 to 2 labelled b_1(0)* 3 to 6 labelled a_1(1)* 4 to 2 labelled c_1(0)* 4 to 7 labelled b_1(1)* 5 to 2 labelled a_1(0)* 5 to 8 labelled c_1(1)* 6 to 2 labelled c_1(1)* 6 to 7 labelled b_1(1)* 7 to 2 labelled a_1(1)* 7 to 8 labelled c_1(1)* 8 to 2 labelled b_1(1)* 8 to 6 labelled a_1(1) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to SRS Standard