/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


NO

Problem 1: 

(VAR X Y)
(RULES
adx(cons(X,Y)) -> incr(cons(X,adx(Y)))
hd(cons(X,Y)) -> X
incr(cons(X,Y)) -> cons(s(X),incr(Y))
nats -> adx(zeros)
tl(cons(X,Y)) -> Y
zeros -> cons(0,zeros)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 ADX(cons(X,Y)) -> ADX(Y)
 ADX(cons(X,Y)) -> INCR(cons(X,adx(Y)))
 INCR(cons(X,Y)) -> INCR(Y)
 NATS -> ADX(zeros)
 NATS -> ZEROS
 ZEROS -> ZEROS
-> Rules:
 adx(cons(X,Y)) -> incr(cons(X,adx(Y)))
 hd(cons(X,Y)) -> X
 incr(cons(X,Y)) -> cons(s(X),incr(Y))
 nats -> adx(zeros)
 tl(cons(X,Y)) -> Y
 zeros -> cons(0,zeros)

Problem 1: 

Infinite Processor:
-> Pairs:
 ADX(cons(X,Y)) -> ADX(Y)
 ADX(cons(X,Y)) -> INCR(cons(X,adx(Y)))
 INCR(cons(X,Y)) -> INCR(Y)
 NATS -> ADX(zeros)
 NATS -> ZEROS
 ZEROS -> ZEROS
-> Rules:
 adx(cons(X,Y)) -> incr(cons(X,adx(Y)))
 hd(cons(X,Y)) -> X
 incr(cons(X,Y)) -> cons(s(X),incr(Y))
 nats -> adx(zeros)
 tl(cons(X,Y)) -> Y
 zeros -> cons(0,zeros)
-> Pairs in cycle:
 ZEROS -> ZEROS

The problem is infinite.