/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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NO

Problem:
 nats() -> cons(0(),n__incr(nats()))
 pairs() -> cons(0(),n__incr(odds()))
 odds() -> incr(pairs())
 incr(cons(X,XS)) -> cons(s(X),n__incr(activate(XS)))
 head(cons(X,XS)) -> X
 tail(cons(X,XS)) -> activate(XS)
 incr(X) -> n__incr(X)
 activate(n__incr(X)) -> incr(X)
 activate(X) -> X

Proof:
 Containment Processor: loop length: 1
                        terms:
                         nats()
                        context: cons(0(),n__incr([]))
                        substitution:
                         
  Qed