SRS Standard pair #516968892

details

property	value
status	complete
benchmark	z106.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	2.85853385925 seconds
cpu usage	2.739547095
max memory	1.1186176E7

stage attributes

key	value
output-size	6065
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)) -> b(b(b(x1:S)))
b(c(d(x1:S))) -> a(x1:S)
b(c(x1:S)) -> c(b(x1:S))
b(x1:S) -> c(c(d(x1:S)))
c(x1:S) -> d(d(d(x1:S)))
)

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Reduction Pair Processor:
-> Pairs:
 A(a(x1:S)) -> B(b(b(x1:S)))
 A(a(x1:S)) -> B(b(x1:S))
 A(a(x1:S)) -> B(x1:S)
 B(c(d(x1:S))) -> A(x1:S)
 B(c(x1:S)) -> B(x1:S)
-> Rules:
 a(a(x1:S)) -> b(b(b(x1:S)))
 b(c(d(x1:S))) -> a(x1:S)
 b(c(x1:S)) -> c(b(x1:S))
 b(x1:S) -> c(c(d(x1:S)))
 c(x1:S) -> d(d(d(x1:S)))
-> Usable rules:
 a(a(x1:S)) -> b(b(b(x1:S)))
 b(c(d(x1:S))) -> a(x1:S)
 b(c(x1:S)) -> c(b(x1:S))
 b(x1:S) -> c(c(d(x1:S)))
 c(x1:S) -> d(d(d(x1:S)))
->Interpretation type:
 Linear
->Coefficients:
 All rationals
->Dimension:
 1
->Bound:
 4

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