TRS Standard pair #487069234

details

property	value
status	complete
benchmark	mfp90b.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n187.star.cs.uiowa.edu
space	Rubio_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.048789 seconds
cpu usage	0.035468
user time	0.017867
system time	0.017601
max virtual memory	113188.0
max residence set size	4624.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

(VAR v_NonEmpty:S X:S)
(RULES
a -> g(c)
f(g(X:S),b) -> f(a,X:S)
g(a) -> b
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(g(X:S),b) -> A
 F(g(X:S),b) -> F(a,X:S)
-> Rules:
 a -> g(c)
 f(g(X:S),b) -> f(a,X:S)
 g(a) -> b

Problem 1: 

SCC Processor:
-> Pairs:
 F(g(X:S),b) -> A
 F(g(X:S),b) -> F(a,X:S)
-> Rules:
 a -> g(c)
 f(g(X:S),b) -> f(a,X:S)
 g(a) -> b
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(g(X:S),b) -> F(a,X:S)
->->-> Rules:
 a -> g(c)
 f(g(X:S),b) -> f(a,X:S)
 g(a) -> b

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 F(g(X:S),b) -> F(a,X:S)
-> Rules:
 a -> g(c)
 f(g(X:S),b) -> f(a,X:S)
 g(a) -> b
-> Usable rules:
 a -> g(c)
 g(a) -> b
->Interpretation type:
 Linear
->Coefficients:
 Natural Numbers
->Dimension:
 1
->Bound:
 2
->Interpretation:
 
[a] = 2
[g](X) = 2.X + 2
[b] = 2
[c] = 0
[F](X1,X2) = 2.X1 + X2

Problem 1: 

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

The problem is finite.

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job log

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