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TRS Stand 20472 pair #381712278
details
property
value
status
complete
benchmark
z11.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
Zantema_05
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
2.83337211609 seconds
cpu usage
2.367024446
max memory
5.2158464E7
stage attributes
key
value
output-size
1415
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 a : [o * o] --> o d : [] --> o f : [] --> o p : [] --> o s : [] --> o a(f, 0) => a(s, 0) a(d, 0) => 0 a(d, a(s, X)) => a(s, a(s, a(d, a(p, a(s, X))))) a(f, a(s, X)) => a(d, a(f, a(p, a(s, X)))) a(p, a(s, X)) => X 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 : [] --> ib a : [ga * ib] --> ib d : [] --> ga f : [] --> ga p : [] --> ga s : [] --> ga +++ 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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