details

property	value
status	complete
benchmark	emmes-nonloop-ex6_1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n098.star.cs.uiowa.edu
space	EEG_IJCAR_12

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	0.229877948761 seconds
cpu usage	0.217918046
max memory	8810496.0

stage attributes

key	value
output-size	1538
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. a : [] --> o append : [o * o] --> o cons : [o * o] --> o f : [o * o] --> o isList : [o] --> o nil : [] --> o true : [] --> o f(true, X) => f(isList(X), append(cons(a, nil), X)) isList(nil) => true isList(cons(X, Y)) => isList(Y) append(nil, X) => X append(cons(X, Y), Z) => cons(X, append(Y, 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: a : [] --> ea append : [ab * ab] --> ab cons : [ea * ab] --> ab f : [ja * ab] --> x isList : [ab] --> ja nil : [] --> ab true : [] --> ja +++ 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