/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 R(x1) -> r(x1)
 r(p(x1)) -> p(p(r(P(x1))))
 r(r(x1)) -> x1
 r(P(P(x1))) -> P(P(r(x1)))
 p(P(x1)) -> x1
 P(p(x1)) -> x1
 r(R(x1)) -> x1
 R(r(x1)) -> x1

Proof:
 WPO Processor:
  algebra: Sum
  weight function:
   w0 = 0
   w(r) = w(R) = 1
   w(P) = w(p) = 0
  status function:
   st(P) = st(p) = st(r) = st(R) = [0]
  precedence:
   R > r > p > P
  problem:
   
  Qed