/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 v_NonEmpty:S L:S X:S XS:S Y:S YS:S)
(RULES
app(cons(X:S,XS:S),YS:S) -> cons(X:S,app(XS:S,YS:S))
app(nil,YS:S) -> YS:S
from(X:S) -> cons(X:S,from(s(X:S)))
prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S)))
zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S))
zWadr(nil,YS:S) -> nil
zWadr(XS:S,nil) -> nil
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 APP(cons(X:S,XS:S),YS:S) -> APP(XS:S,YS:S)
 FROM(X:S) -> FROM(s(X:S))
 PREFIX(L:S) -> PREFIX(L:S)
 PREFIX(L:S) -> ZWADR(L:S,prefix(L:S))
 ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> APP(Y:S,cons(X:S,nil))
 ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> ZWADR(XS:S,YS:S)
-> Rules:
 app(cons(X:S,XS:S),YS:S) -> cons(X:S,app(XS:S,YS:S))
 app(nil,YS:S) -> YS:S
 from(X:S) -> cons(X:S,from(s(X:S)))
 prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S)))
 zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S))
 zWadr(nil,YS:S) -> nil
 zWadr(XS:S,nil) -> nil

Problem 1: 

Infinite Processor:
-> Pairs:
 APP(cons(X:S,XS:S),YS:S) -> APP(XS:S,YS:S)
 FROM(X:S) -> FROM(s(X:S))
 PREFIX(L:S) -> PREFIX(L:S)
 PREFIX(L:S) -> ZWADR(L:S,prefix(L:S))
 ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> APP(Y:S,cons(X:S,nil))
 ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> ZWADR(XS:S,YS:S)
-> Rules:
 app(cons(X:S,XS:S),YS:S) -> cons(X:S,app(XS:S,YS:S))
 app(nil,YS:S) -> YS:S
 from(X:S) -> cons(X:S,from(s(X:S)))
 prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S)))
 zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S))
 zWadr(nil,YS:S) -> nil
 zWadr(XS:S,nil) -> nil
-> Pairs in cycle:
 FROM(X:S) -> FROM(s(X:S))
 PREFIX(L:S) -> PREFIX(L:S)

The problem is infinite.