/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 
  cond1 : [o * o * o * o] --> o 
  cond2 : [o * o * o * o] --> o 
  cond3 : [o * o * o * o] --> o 
  false : [] --> o 
  gr : [o * o] --> o 
  or : [o * o] --> o 
  p : [o] --> o 
  s : [o] --> o 
  true : [] --> o 

  cond1(true, X, Y, Z) => cond2(gr(X, 0), X, Y, Z) 
  cond2(true, X, Y, Z) => cond1(or(gr(X, Z), gr(Y, Z)), p(X), Y, Z) 
  cond2(false, X, Y, Z) => cond3(gr(Y, 0), X, Y, Z) 
  cond3(true, X, Y, Z) => cond1(or(gr(X, Z), gr(Y, Z)), X, p(Y), Z) 
  cond3(false, X, Y, Z) => cond1(or(gr(X, Z), gr(Y, Z)), X, Y, Z) 
  gr(0, X) => false 
  gr(s(X), 0) => true 
  gr(s(X), s(Y)) => gr(X, Y) 
  or(false, false) => false 
  or(true, X) => true 
  or(X, true) => true 
  p(0) => 0 
  p(s(X)) => X