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TRS Standard pair #487067649
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
n070.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.018506 seconds
cpu usage
0.018977
user time
0.007064
system time
0.011913
max virtual memory
113188.0
max residence set size
4308.0
stage attributes
key
value
starexec-result
YES
output
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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