/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 
  a!6220!6220from : [o] --> o 
  a!6220!6220minus : [o * o] --> o 
  a!6220!6220quot : [o * o] --> o 
  a!6220!6220sel : [o * o] --> o 
  a!6220!6220zWquot : [o * o] --> o 
  cons : [o * o] --> o 
  from : [o] --> o 
  mark : [o] --> o 
  minus : [o * o] --> o 
  nil : [] --> o 
  quot : [o * o] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 
  zWquot : [o * o] --> o 

  a!6220!6220from(X) => cons(mark(X), from(s(X))) 
  a!6220!6220sel(0, cons(X, Y)) => mark(X) 
  a!6220!6220sel(s(X), cons(Y, Z)) => a!6220!6220sel(mark(X), mark(Z)) 
  a!6220!6220minus(X, 0) => 0 
  a!6220!6220minus(s(X), s(Y)) => a!6220!6220minus(mark(X), mark(Y)) 
  a!6220!6220quot(0, s(X)) => 0 
  a!6220!6220quot(s(X), s(Y)) => s(a!6220!6220quot(a!6220!6220minus(mark(X), mark(Y)), s(mark(Y)))) 
  a!6220!6220zWquot(X, nil) => nil 
  a!6220!6220zWquot(nil, X) => nil 
  a!6220!6220zWquot(cons(X, Y), cons(Z, U)) => cons(a!6220!6220quot(mark(X), mark(Z)), zWquot(Y, U)) 
  mark(from(X)) => a!6220!6220from(mark(X)) 
  mark(sel(X, Y)) => a!6220!6220sel(mark(X), mark(Y)) 
  mark(minus(X, Y)) => a!6220!6220minus(mark(X), mark(Y)) 
  mark(quot(X, Y)) => a!6220!6220quot(mark(X), mark(Y)) 
  mark(zWquot(X, Y)) => a!6220!6220zWquot(mark(X), mark(Y)) 
  mark(cons(X, Y)) => cons(mark(X), Y) 
  mark(s(X)) => s(mark(X)) 
  mark(0) => 0 
  mark(nil) => nil 
  a!6220!6220from(X) => from(X) 
  a!6220!6220sel(X, Y) => sel(X, Y) 
  a!6220!6220minus(X, Y) => minus(X, Y) 
  a!6220!6220quot(X, Y) => quot(X, Y) 
  a!6220!6220zWquot(X, Y) => zWquot(X, Y)