SRS Standard pair #487511713

details

property	value
status	complete
benchmark	3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n116.star.cs.uiowa.edu
space	Mixed_SRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.233210802078 seconds
cpu usage	0.181946089
max memory	3723264.0

stage attributes

key	value
output-size	2429
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES

Problem 1: 

(VAR v_NonEmpty:S x1:S)
(RULES
a(a(x1:S)) -> a(b(a(x1:S)))
b(a(b(x1:S))) -> a(c(a(x1:S)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))
 A(a(x1:S)) -> B(a(x1:S))
 B(a(b(x1:S))) -> A(c(a(x1:S)))
 B(a(b(x1:S))) -> A(x1:S)
-> Rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))

Problem 1: 

SCC Processor:
-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))
 A(a(x1:S)) -> B(a(x1:S))
 B(a(b(x1:S))) -> A(c(a(x1:S)))
 B(a(b(x1:S))) -> A(x1:S)
-> Rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))
 A(a(x1:S)) -> B(a(x1:S))
 B(a(b(x1:S))) -> A(x1:S)
->->-> Rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))
 A(a(x1:S)) -> B(a(x1:S))
 B(a(b(x1:S))) -> A(x1:S)
-> Rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))
-> Usable rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))
->Interpretation type:
 Linear
->Coefficients:
 Natural Numbers
->Dimension:
 1
->Bound:
 2
->Interpretation:
 
[a](X) = 2.X + 2
[b](X) = X
[c](X) = 0
[A](X) = 2.X + 2
[B](X) = 2.X

Problem 1: 

SCC Processor:
-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))
 B(a(b(x1:S))) -> A(x1:S)
-> Rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))
->->-> Rules:
 a(a(x1:S)) -> a(b(a(x1:S)))
 b(a(b(x1:S))) -> a(c(a(x1:S)))

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 A(a(x1:S)) -> A(b(a(x1:S)))

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