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


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YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 F(g(X),b) -> F(a,X)
-> Rules:
 a -> g(c)
 f(g(X),b) -> f(a,X)
 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] = 1
[c] = 0
[F](X1,X2) = X1 + X2

Problem 1: 

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

The problem is finite.