details

property	value
status	complete
benchmark	isNat.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n021.star.cs.uiowa.edu
space	AProVE_10

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	0.110550880432 seconds
cpu usage	0.096683993
max memory	3510272.0

stage attributes

key	value
output-size	1306
starexec-result	MAYBE

output

/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o f : [o * o] --> o isNat : [o] --> o s : [o] --> o tt : [] --> o f(tt, X) => f(isNat(X), s(X)) isNat(s(X)) => isNat(X) isNat(0) => tt 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 : [] --> y f : [z * y] --> p isNat : [y] --> z s : [y] --> y tt : [] --> z +++ 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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job log

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actions

all output return to TRS Stand 20472