details

property	value
status	complete
benchmark	enger-nonloop-ex_payet.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n101.star.cs.uiowa.edu
space	EEG_IJCAR_12

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	0.851851940155 seconds
cpu usage	0.84830156
max memory	1.452032E7

stage attributes

key	value
output-size	1587
starexec-result	MAYBE

output

/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o cond : [o * o * o] --> o false : [] --> o gt : [o * o] --> o s : [o] --> o true : [] --> o while : [o * o * o] --> o while(true, X, Y) => cond(gt(X, 0), X, Y) cond(true, s(X), Y) => while(gt(Y, 0), X, Y) cond(false, X, Y) => while(gt(s(Y), 0), s(Y), s(Y)) gt(s(X), 0) => true gt(0, X) => false gt(s(X), s(Y)) => gt(X, Y) As the system is orthogonal, it is terminating if it is innermost terminating by [Gra95]. Then, by [FuhGieParSchSwi11], it suffices to prove (innermost) termination of the typed system, with sort annotations chosen to respect the rules, as follows: 0 : [] --> ob cond : [sb * ob * ob] --> ya false : [] --> sb gt : [ob * ob] --> sb s : [ob] --> ob true : [] --> sb while : [sb * ob * ob] --> ya +++ Citations +++ [FuhGieParSchSwi11] C. Fuhs, J. Giesl, M. Parting, P. Schneider-Kamp, and S. Swiderski. Proving Termination by Dependency Pairs and Inductive Theorem Proving. In volume 47(2) of Journal of Automated Reasoning. 133--160, 2011. [Gra95] B. Gramlich. Abstract Relations Between Restricted Termination and Confluence Properties of Rewrite Systems. In volume 24(1-2) of Fundamentae Informaticae. 3--23, 1995. popout

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