TRS Stand 20472 pair #381710111

details

property	value
status	complete
benchmark	jones1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n103.star.cs.uiowa.edu
space	Mixed_TRS

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0159499645233 seconds
cpu usage	0.012836772
max memory	1490944.0

stage attributes

key	value
output-size	1641
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 a k ls x)
(RULES
r1(cons(x,k),a) -> r1(k,cons(x,a))
r1(empty,a) -> a
rev(ls) -> r1(ls,empty)
)

Problem 1: 

Innermost Equivalent Processor:
-> Rules:
 r1(cons(x,k),a) -> r1(k,cons(x,a))
 r1(empty,a) -> a
 rev(ls) -> r1(ls,empty)
-> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination.
 

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 R1(cons(x,k),a) -> R1(k,cons(x,a))
 REV(ls) -> R1(ls,empty)
-> Rules:
 r1(cons(x,k),a) -> r1(k,cons(x,a))
 r1(empty,a) -> a
 rev(ls) -> r1(ls,empty)

Problem 1: 

SCC Processor:
-> Pairs:
 R1(cons(x,k),a) -> R1(k,cons(x,a))
 REV(ls) -> R1(ls,empty)
-> Rules:
 r1(cons(x,k),a) -> r1(k,cons(x,a))
 r1(empty,a) -> a
 rev(ls) -> r1(ls,empty)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 R1(cons(x,k),a) -> R1(k,cons(x,a))
->->-> Rules:
 r1(cons(x,k),a) -> r1(k,cons(x,a))
 r1(empty,a) -> a
 rev(ls) -> r1(ls,empty)

Problem 1: 

Subterm Processor:
-> Pairs:
 R1(cons(x,k),a) -> R1(k,cons(x,a))
-> Rules:
 r1(cons(x,k),a) -> r1(k,cons(x,a))
 r1(empty,a) -> a
 rev(ls) -> r1(ls,empty)
->Projection:
 pi(R1) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 r1(cons(x,k),a) -> r1(k,cons(x,a))
 r1(empty,a) -> a
 rev(ls) -> r1(ls,empty)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

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