details

property	value
status	complete
benchmark	#3.33.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n026.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.54291892052 seconds
cpu usage	3.404235654
max memory	2.40402432E8

stage attributes

key	value
output-size	1647
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 0. This implies Q-termination of R. The following rules were used to construct the certificate: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 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 5 labelled q_1(0), p_1(0)* 1 to 7 labelled q_1(0), p_1(0)* 2 to 2 labelled #_1(0)* 5 to 6 labelled f_1(0)* 6 to 2 labelled g_1(0)* 7 to 8 labelled g_1(0)* 8 to 2 labelled f_1(0) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to TRS Stand 20472