details

property	value
status	complete
benchmark	#4.30a.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n039.star.cs.uiowa.edu
space	Strategy_removed_AG01

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	0.845808029175 seconds
cpu usage	0.269952288
max memory	1.214464E7

stage attributes

key	value
output-size	1552
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 false : [] --> o le : [o * o] --> o minus : [o * o] --> o quot : [o * o] --> o s : [o] --> o true : [] --> o minus(X, 0) => X minus(s(X), s(Y)) => minus(X, Y) le(0, X) => true le(s(X), 0) => false le(s(X), s(Y)) => le(X, Y) quot(0, s(X)) => 0 quot(s(X), s(Y)) => s(quot(minus(s(X), s(Y)), s(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 : [] --> rb false : [] --> va le : [rb * rb] --> va minus : [rb * rb] --> rb quot : [rb * rb] --> rb s : [rb] --> rb true : [] --> va +++ 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

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

job log

popout

actions

all output return to TRS Stand 20472