TRS Standard pair #487066649

details

property	value
status	complete
benchmark	02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Various_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	20.1478 seconds
cpu usage	20.1059
user time	18.9343
system time	1.17166
max virtual memory	599076.0
max residence set size	5696.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

(VAR v_NonEmpty:S x:S y:S z:S)
(RULES
0 -> 2
1 -> 2
f(0,1,x:S) -> f(x:S,x:S,x:S)
f(x:S,y:S,z:S) -> 2
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(0,1,x:S) -> F(x:S,x:S,x:S)
-> Rules:
 0 -> 2
 1 -> 2
 f(0,1,x:S) -> f(x:S,x:S,x:S)
 f(x:S,y:S,z:S) -> 2

Problem 1: 

SCC Processor:
-> Pairs:
 F(0,1,x:S) -> F(x:S,x:S,x:S)
-> Rules:
 0 -> 2
 1 -> 2
 f(0,1,x:S) -> f(x:S,x:S,x:S)
 f(x:S,y:S,z:S) -> 2
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(0,1,x:S) -> F(x:S,x:S,x:S)
->->-> Rules:
 0 -> 2
 1 -> 2
 f(0,1,x:S) -> f(x:S,x:S,x:S)
 f(x:S,y:S,z:S) -> 2

Problem 1: 

Forward Instantiation Processor:
-> Pairs:
 F(0,1,x:S) -> F(x:S,x:S,x:S)
-> Rules:
 0 -> 2
 1 -> 2
 f(0,1,x:S) -> f(x:S,x:S,x:S)
 f(x:S,y:S,z:S) -> 2
->Instantiated Pairs:
->->Original Pair:
 F(0,1,x:S) -> F(x:S,x:S,x:S)
->-> Instantiated pairs:
 Empty

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 0 -> 2
 1 -> 2
 f(0,1,x:S) -> f(x:S,x:S,x:S)
 f(x:S,y:S,z:S) -> 2
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

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