details

property	value
status	complete
benchmark	sizeChange.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n105.star.cs.uiowa.edu
space	AProVE_06

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	0.691533088684 seconds
cpu usage	0.665034701
max memory	2.4236032E7

stage attributes

key	value
output-size	1537
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. cons : [o * o] --> o nil : [] --> o r : [o * o * o * o] --> o succ : [o] --> o zero : [] --> o r(X, Y, Z, nil) => X r(X, nil, Y, cons(Z, U)) => r(X, X, cons(succ(zero), Y), U) r(X, cons(Y, Z), nil, cons(U, V)) => r(X, X, cons(succ(zero), nil), V) r(X, cons(Y, Z), cons(U, V), cons(W, Q)) => r(Z, cons(Y, Z), V, cons(succ(zero), cons(W, Q))) 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: cons : [wb * bc] --> bc nil : [] --> bc r : [bc * bc * bc * bc] --> bc succ : [ea] --> wb zero : [] --> ea +++ 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