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


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


MAYBE
We consider the system theBenchmark.

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

  e1 : [o * o * o * o * o] --> o 
  e2 : [o * o * o * o * o] --> o 
  e3 : [o * o * o * o * o * o * o * o * o * o * o] --> o 
  e4 : [o * o * o * o * o * o * o * o * o * o * o] --> o 
  e5 : [o * o * o * o] --> o 
  e6 : [o * o * o] --> o 
  f1 : [] --> o 
  f2 : [] --> o 
  g1 : [] --> o 
  g2 : [] --> o 
  h1 : [] --> o 
  h2 : [] --> o 
  i : [] --> o 

  f1 => g1 
  f1 => g2 
  f2 => g1 
  f2 => g2 
  g1 => h1 
  g1 => h2 
  g2 => h1 
  g2 => h2 
  h1 => i 
  h2 => i 
  e1(h1, h2, X, Y, Z) => e2(X, X, Y, Z, Z) 
  e1(X, X, Y, Z, U) => e5(X, Y, Z, U) 
  e2(f1, X, Y, Z, f2) => e3(X, Y, X, Y, Y, Z, Y, Z, X, Y, Z) 
  e2(X, X, Y, Z, Z) => e6(X, Y, Z) 
  e2(i, X, Y, Z, i) => e6(X, Y, Z) 
  e3(X, X, Y, Y, Z, Z, U, U, V, W, Q) => e4(X, X, Y, Y, Z, Z, U, U, V, W, Q) 
  e3(X, Y, X, Y, Y, Z, Y, Z, X, Y, Z) => e6(X, Y, Z) 
  e4(g1, X, g2, X, g1, X, g2, X, Y, Z, U) => e1(X, X, Y, Z, U) 
  e4(i, X, i, X, i, X, i, X, Y, Z, U) => e5(X, Y, Z, U) 
  e4(X, X, X, X, X, X, X, X, X, X, X) => e6(X, X, X) 
  e5(i, X, Y, Z) => e6(X, Y, Z)