TRS Conditional pair #516978598

details

property	value
status	complete
benchmark	385.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n135.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0744640827179 seconds
cpu usage	0.017971449
max memory	1658880.0

stage attributes

key	value
output-size	1387
starexec-result	YES

output

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


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


YES

Problem 1: 

(VAR v_NonEmpty:S x:S z:S)
(RULES
a -> c
a -> d
f(x:S) -> z:S | s(x:S) ->* t(z:S)
s(c) -> t(k)
)

Problem 1: 
Valid CTRS Processor:
-> Rules:
 a -> c
 a -> d
 f(x:S) -> z:S | s(x:S) ->* t(z:S)
 s(c) -> t(k)
-> The system is a deterministic 3-CTRS.

Problem 1: 

Dependency Pairs Processor:

Conditional Termination Problem 1:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 a -> c
 a -> d
 f(x:S) -> z:S | s(x:S) ->* t(z:S)
 s(c) -> t(k)

Conditional Termination Problem 2:
-> Pairs:
 F(x:S) -> S(x:S)
-> QPairs:
 Empty
-> Rules:
 a -> c
 a -> d
 f(x:S) -> z:S | s(x:S) ->* t(z:S)
 s(c) -> t(k)


The problem is decomposed in 2 subproblems.

Problem 1.1: 

SCC Processor:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 a -> c
 a -> d
 f(x:S) -> z:S | s(x:S) ->* t(z:S)
 s(c) -> t(k)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

Problem 1.2: 

SCC Processor:
-> Pairs:
 F(x:S) -> S(x:S)
-> QPairs:
 Empty
-> Rules:
 a -> c
 a -> d
 f(x:S) -> z:S | s(x:S) ->* t(z:S)
 s(c) -> t(k)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

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