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TRS Stand 20472 pair #381710738
details
property
value
status
complete
benchmark
hydra_buchholz.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
0.732376098633 seconds
cpu usage
0.724999727
max memory
3.168256E7
stage attributes
key
value
output-size
1443
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 d : [o * o] --> o g : [o * o] --> o h : [o * o] --> o h(g(X, Y), Z) => h(d(g(X, Y), Z), g(Z, 0)) d(0, X) => 0 d(g(X, 0), Y) => X d(g(X, g(Y, 0)), 0) => X d(g(X, g(Y, 0)), g(Z, U)) => g(d(g(X, g(Y, 0)), Z), Y) d(g(X, g(Y, g(Z, U))), V) => g(X, d(g(Y, g(Z, U)), V)) 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 : [] --> jc d : [jc * jc] --> jc g : [jc * jc] --> jc h : [jc * jc] --> aa +++ 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.
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