/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 
  active : [o] --> o 
  and : [o * o] --> o 
  cons : [o * o] --> o 
  length : [o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  tt : [] --> o 
  zeros : [] --> o 

  active(zeros) => mark(cons(0, zeros)) 
  active(and(tt, X)) => mark(X) 
  active(length(nil)) => mark(0) 
  active(length(cons(X, Y))) => mark(s(length(Y))) 
  mark(zeros) => active(zeros) 
  mark(cons(X, Y)) => active(cons(mark(X), Y)) 
  mark(0) => active(0) 
  mark(and(X, Y)) => active(and(mark(X), Y)) 
  mark(tt) => active(tt) 
  mark(length(X)) => active(length(mark(X))) 
  mark(nil) => active(nil) 
  mark(s(X)) => active(s(mark(X))) 
  cons(mark(X), Y) => cons(X, Y) 
  cons(X, mark(Y)) => cons(X, Y) 
  cons(active(X), Y) => cons(X, Y) 
  cons(X, active(Y)) => cons(X, Y) 
  and(mark(X), Y) => and(X, Y) 
  and(X, mark(Y)) => and(X, Y) 
  and(active(X), Y) => and(X, Y) 
  and(X, active(Y)) => and(X, Y) 
  length(mark(X)) => length(X) 
  length(active(X)) => length(X) 
  s(mark(X)) => s(X) 
  s(active(X)) => s(X)