details

property	value
status	complete
benchmark	Ex4_7_56_Bor03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n002.star.cs.uiowa.edu
space	Strategy_removed_CSR_05

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	0.140532016754 seconds
cpu usage	0.084679639
max memory	3231744.0

stage attributes

key	value
output-size	1349
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 after : [o * o] --> o cons : [o * o] --> o from : [o] --> o s : [o] --> o from(X) => cons(X, from(s(X))) after(0, X) => X after(s(X), cons(Y, Z)) => after(X, Z) 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 : [] --> z after : [z * ga] --> ga cons : [z * ga] --> ga from : [z] --> ga s : [z] --> 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

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

job log

popout

actions

all output return to TRS Stand 20472