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


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MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  0 : [] --> o 
  and : [o * o] --> o 
  cond : [o * o * o] --> o 
  false : [] --> o 
  gr : [o * o] --> o 
  p : [o] --> o 
  s : [o] --> o 
  true : [] --> o 

  cond(true, X, Y) => cond(and(gr(X, 0), gr(Y, 0)), p(X), p(Y)) 
  and(true, true) => true 
  and(X, false) => false 
  and(false, X) => false 
  gr(0, 0) => false 
  gr(0, X) => false 
  gr(s(X), 0) => true 
  gr(s(X), s(Y)) => gr(X, Y) 
  p(0) => 0 
  p(s(X)) => X