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


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NO

Problem 1: 

(VAR f p x y)
(RULES
app(app(app(if,false),x),y) -> y
app(app(app(if,true),x),y) -> x
app(app(app(until,p),f),x) -> app(app(app(if,app(p,x)),x),app(app(app(until,p),f),app(f,x)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 APP(app(app(until,p),f),x) -> APP(app(app(if,app(p,x)),x),app(app(app(until,p),f),app(f,x)))
 APP(app(app(until,p),f),x) -> APP(app(app(until,p),f),app(f,x))
 APP(app(app(until,p),f),x) -> APP(app(if,app(p,x)),x)
 APP(app(app(until,p),f),x) -> APP(if,app(p,x))
 APP(app(app(until,p),f),x) -> APP(f,x)
 APP(app(app(until,p),f),x) -> APP(p,x)
-> Rules:
 app(app(app(if,false),x),y) -> y
 app(app(app(if,true),x),y) -> x
 app(app(app(until,p),f),x) -> app(app(app(if,app(p,x)),x),app(app(app(until,p),f),app(f,x)))

Problem 1: 

Infinite Processor:
-> Pairs:
 APP(app(app(until,p),f),x) -> APP(app(app(if,app(p,x)),x),app(app(app(until,p),f),app(f,x)))
 APP(app(app(until,p),f),x) -> APP(app(app(until,p),f),app(f,x))
 APP(app(app(until,p),f),x) -> APP(app(if,app(p,x)),x)
 APP(app(app(until,p),f),x) -> APP(if,app(p,x))
 APP(app(app(until,p),f),x) -> APP(f,x)
 APP(app(app(until,p),f),x) -> APP(p,x)
-> Rules:
 app(app(app(if,false),x),y) -> y
 app(app(app(if,true),x),y) -> x
 app(app(app(until,p),f),x) -> app(app(app(if,app(p,x)),x),app(app(app(until,p),f),app(f,x)))
-> Pairs in cycle:
 APP(app(app(until,p),f),x) -> APP(app(app(until,p),f),app(f,x))

The problem is infinite.