/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem 1: 

(VAR u v x y z)
(RULES
if(if(x,y,z),u,v) -> if(x,if(y,u,v),if(z,u,v))
if(false,x,y) -> y
if(true,x,y) -> x
if(x,if(x,y,z),z) -> if(x,y,z)
if(x,y,if(x,y,z)) -> if(x,y,z)
if(x,y,y) -> y
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 IF(if(x,y,z),u,v) -> IF(x,if(y,u,v),if(z,u,v))
 IF(if(x,y,z),u,v) -> IF(y,u,v)
 IF(if(x,y,z),u,v) -> IF(z,u,v)
-> Rules:
 if(if(x,y,z),u,v) -> if(x,if(y,u,v),if(z,u,v))
 if(false,x,y) -> y
 if(true,x,y) -> x
 if(x,if(x,y,z),z) -> if(x,y,z)
 if(x,y,if(x,y,z)) -> if(x,y,z)
 if(x,y,y) -> y

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

The problem is finite.