TRS Conditional pair #487562863

details

property	value
status	complete
benchmark	389.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	40.1850528717 seconds
cpu usage	40.170963619
max memory	3.15584512E8

stage attributes

key	value
output-size	1301
starexec-result	NO

output

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


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


NO

Problem 1: 

(VAR v_NonEmpty:S x:S z:S)
(RULES
a -> f(a)
f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S
)

Problem 1: 
Valid CTRS Processor:
-> Rules:
 a -> f(a)
 f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S
-> The system is a deterministic 3-CTRS.

Problem 1: 

Dependency Pairs Processor:

Conditional Termination Problem 1:
-> Pairs:
 A -> A
 A -> F(a)
-> QPairs:
 Empty
-> Rules:
 a -> f(a)
 f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S

Conditional Termination Problem 2:
-> Pairs:
 F(x:S) -> F(x:S)
-> QPairs:
 Empty
-> Rules:
 a -> f(a)
 f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S

Problem 1: 

SCC Processor:
-> Pairs:
 A -> A
 A -> F(a)
-> QPairs:
 Empty
-> Rules:
 a -> f(a)
 f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A -> A
-> QPairs:
 Empty
->->-> Rules:
 a -> f(a)
 f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S

Problem 1: 

Infinite Processor:
-> Pairs:
 A -> A
-> QPairs:
 Empty
-> Rules:
 a -> f(a)
 f(x:S) -> b | f(x:S) ->* z:S, x:S ->* z:S
-> Pairs in cycle:
 A -> A

The problem is infinite.

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