TRS Stand 20472 pair #381712039

details

property	value
status	complete
benchmark	test829.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n091.star.cs.uiowa.edu
space	Rubio_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0483241081238 seconds
cpu usage	0.025534464
max memory	2940928.0

stage attributes

key	value
output-size	1653
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES

Problem 1: 

(VAR X Y)
(RULES
f(c(X,s(Y))) -> f(c(s(X),Y))
g(c(s(X),Y)) -> f(c(X,s(Y)))
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))
-> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(c(X,s(Y))) -> F(c(s(X),Y))
 G(c(s(X),Y)) -> F(c(X,s(Y)))
-> Rules:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))

Problem 1: 

SCC Processor:
-> Pairs:
 F(c(X,s(Y))) -> F(c(s(X),Y))
 G(c(s(X),Y)) -> F(c(X,s(Y)))
-> Rules:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(c(X,s(Y))) -> F(c(s(X),Y))
->->-> Rules:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))

Problem 1: 

Reduction Pairs Processor:
-> Pairs:
 F(c(X,s(Y))) -> F(c(s(X),Y))
-> Rules:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))
-> Usable rules:
 Empty
->Interpretation type:
 Linear
->Coefficients:
 Natural Numbers
->Dimension:
 1
->Bound:
 2
->Interpretation:
 
[c](X1,X2) = 2.X2
[s](X) = 2.X + 2
[F](X) = 2.X

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

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