TRS Standard pair #615305102

details

property	value
status	complete
benchmark	2.34.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n020.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0230138301849 seconds
cpu usage	0.019153673
max memory	1658880.0

stage attributes

key	value
output-size	2095
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
if(if(x:S,y:S,z:S),u,v) -> if(x:S,if(y:S,u,v),if(z:S,u,v))
if(ffalse,x:S,y:S) -> y:S
if(ttrue,x:S,y:S) -> x:S
if(x:S,y:S,y:S) -> y:S
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 IF(if(x:S,y:S,z:S),u,v) -> IF(x:S,if(y:S,u,v),if(z:S,u,v))
 IF(if(x:S,y:S,z:S),u,v) -> IF(y:S,u,v)
 IF(if(x:S,y:S,z:S),u,v) -> IF(z:S,u,v)
-> Rules:
 if(if(x:S,y:S,z:S),u,v) -> if(x:S,if(y:S,u,v),if(z:S,u,v))
 if(ffalse,x:S,y:S) -> y:S
 if(ttrue,x:S,y:S) -> x:S
 if(x:S,y:S,y:S) -> y:S

Problem 1: 

SCC Processor:
-> Pairs:
 IF(if(x:S,y:S,z:S),u,v) -> IF(x:S,if(y:S,u,v),if(z:S,u,v))
 IF(if(x:S,y:S,z:S),u,v) -> IF(y:S,u,v)
 IF(if(x:S,y:S,z:S),u,v) -> IF(z:S,u,v)
-> Rules:
 if(if(x:S,y:S,z:S),u,v) -> if(x:S,if(y:S,u,v),if(z:S,u,v))
 if(ffalse,x:S,y:S) -> y:S
 if(ttrue,x:S,y:S) -> x:S
 if(x:S,y:S,y:S) -> y:S
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 IF(if(x:S,y:S,z:S),u,v) -> IF(x:S,if(y:S,u,v),if(z:S,u,v))
 IF(if(x:S,y:S,z:S),u,v) -> IF(y:S,u,v)
 IF(if(x:S,y:S,z:S),u,v) -> IF(z:S,u,v)
->->-> Rules:
 if(if(x:S,y:S,z:S),u,v) -> if(x:S,if(y:S,u,v),if(z:S,u,v))
 if(ffalse,x:S,y:S) -> y:S
 if(ttrue,x:S,y:S) -> x:S
 if(x:S,y:S,y:S) -> y:S

Problem 1: 

Subterm Processor:
-> Pairs:
 IF(if(x:S,y:S,z:S),u,v) -> IF(x:S,if(y:S,u,v),if(z:S,u,v))
 IF(if(x:S,y:S,z:S),u,v) -> IF(y:S,u,v)
 IF(if(x:S,y:S,z:S),u,v) -> IF(z:S,u,v)
-> Rules:
 if(if(x:S,y:S,z:S),u,v) -> if(x:S,if(y:S,u,v),if(z:S,u,v))
 if(ffalse,x:S,y:S) -> y:S
 if(ttrue,x:S,y:S) -> x:S
 if(x:S,y:S,y:S) -> y:S
->Projection:
 pi(IF) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 if(if(x:S,y:S,z:S),u,v) -> if(x:S,if(y:S,u,v),if(z:S,u,v))
 if(ffalse,x:S,y:S) -> y:S
 if(ttrue,x:S,y:S) -> x:S
 if(x:S,y:S,y:S) -> y:S
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

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