TRS Standard pair #516964146

details

property	value
status	complete
benchmark	12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n095.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.13877081871 seconds
cpu usage	0.054622762
max memory	3403776.0

stage attributes

key	value
output-size	6851
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 x:S y:S z:S)
(RULES
and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S))
and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S))
not(and(x:S,y:S)) -> or(not(x:S),not(y:S))
not(not(x:S)) -> x:S
not(or(x:S,y:S)) -> and(not(x:S),not(y:S))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 AND(or(y:S,z:S),x:S) -> AND(x:S,y:S)
 AND(or(y:S,z:S),x:S) -> AND(x:S,z:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S)
 NOT(and(x:S,y:S)) -> NOT(x:S)
 NOT(and(x:S,y:S)) -> NOT(y:S)
 NOT(or(x:S,y:S)) -> AND(not(x:S),not(y:S))
 NOT(or(x:S,y:S)) -> NOT(x:S)
 NOT(or(x:S,y:S)) -> NOT(y:S)
-> Rules:
 and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S))
 and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S))
 not(and(x:S,y:S)) -> or(not(x:S),not(y:S))
 not(not(x:S)) -> x:S
 not(or(x:S,y:S)) -> and(not(x:S),not(y:S))

Problem 1: 

SCC Processor:
-> Pairs:
 AND(or(y:S,z:S),x:S) -> AND(x:S,y:S)
 AND(or(y:S,z:S),x:S) -> AND(x:S,z:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S)
 NOT(and(x:S,y:S)) -> NOT(x:S)
 NOT(and(x:S,y:S)) -> NOT(y:S)
 NOT(or(x:S,y:S)) -> AND(not(x:S),not(y:S))
 NOT(or(x:S,y:S)) -> NOT(x:S)
 NOT(or(x:S,y:S)) -> NOT(y:S)
-> Rules:
 and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S))
 and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S))
 not(and(x:S,y:S)) -> or(not(x:S),not(y:S))
 not(not(x:S)) -> x:S
 not(or(x:S,y:S)) -> and(not(x:S),not(y:S))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 AND(or(y:S,z:S),x:S) -> AND(x:S,y:S)
 AND(or(y:S,z:S),x:S) -> AND(x:S,z:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S)
->->-> Rules:
 and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S))
 and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S))
 not(and(x:S,y:S)) -> or(not(x:S),not(y:S))
 not(not(x:S)) -> x:S
 not(or(x:S,y:S)) -> and(not(x:S),not(y:S))
->->Cycle:
->->-> Pairs:
 NOT(and(x:S,y:S)) -> NOT(x:S)
 NOT(and(x:S,y:S)) -> NOT(y:S)
 NOT(or(x:S,y:S)) -> NOT(x:S)
 NOT(or(x:S,y:S)) -> NOT(y:S)
->->-> Rules:
 and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S))
 and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S))
 not(and(x:S,y:S)) -> or(not(x:S),not(y:S))
 not(not(x:S)) -> x:S
 not(or(x:S,y:S)) -> and(not(x:S),not(y:S))


The problem is decomposed in 2 subproblems.

Problem 1.1: 

Reduction Pair Processor:
-> Pairs:
 AND(or(y:S,z:S),x:S) -> AND(x:S,y:S)
 AND(or(y:S,z:S),x:S) -> AND(x:S,z:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S)
 AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S)
-> Rules:
 and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S))
 and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S))
 not(and(x:S,y:S)) -> or(not(x:S),not(y:S))
 not(not(x:S)) -> x:S

popout

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

job log

popout

actions all output return to TRS Standard