TRS Standard pair #516966601

details

property	value
status	complete
benchmark	2.20.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n077.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0229890346527 seconds
cpu usage	0.018220549
max memory	1503232.0

stage attributes

key	value
output-size	1591
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)
(RULES
sqr(x:S) -> *(x:S,x:S)
sum(0) -> 0
sum(s(x:S)) -> +(sqr(s(x:S)),sum(x:S))
sum(s(x:S)) -> +(*(s(x:S),s(x:S)),sum(x:S))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 SUM(s(x:S)) -> SQR(s(x:S))
 SUM(s(x:S)) -> SUM(x:S)
-> Rules:
 sqr(x:S) -> *(x:S,x:S)
 sum(0) -> 0
 sum(s(x:S)) -> +(sqr(s(x:S)),sum(x:S))
 sum(s(x:S)) -> +(*(s(x:S),s(x:S)),sum(x:S))

Problem 1: 

SCC Processor:
-> Pairs:
 SUM(s(x:S)) -> SQR(s(x:S))
 SUM(s(x:S)) -> SUM(x:S)
-> Rules:
 sqr(x:S) -> *(x:S,x:S)
 sum(0) -> 0
 sum(s(x:S)) -> +(sqr(s(x:S)),sum(x:S))
 sum(s(x:S)) -> +(*(s(x:S),s(x:S)),sum(x:S))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 SUM(s(x:S)) -> SUM(x:S)
->->-> Rules:
 sqr(x:S) -> *(x:S,x:S)
 sum(0) -> 0
 sum(s(x:S)) -> +(sqr(s(x:S)),sum(x:S))
 sum(s(x:S)) -> +(*(s(x:S),s(x:S)),sum(x:S))

Problem 1: 

Subterm Processor:
-> Pairs:
 SUM(s(x:S)) -> SUM(x:S)
-> Rules:
 sqr(x:S) -> *(x:S,x:S)
 sum(0) -> 0
 sum(s(x:S)) -> +(sqr(s(x:S)),sum(x:S))
 sum(s(x:S)) -> +(*(s(x:S),s(x:S)),sum(x:S))
->Projection:
 pi(SUM) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 sqr(x:S) -> *(x:S,x:S)
 sum(0) -> 0
 sum(s(x:S)) -> +(sqr(s(x:S)),sum(x:S))
 sum(s(x:S)) -> +(*(s(x:S),s(x:S)),sum(x:S))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Standard