/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 
  add : [o * o] --> o 
  cons : [o * o] --> o 
  fib : [o] --> o 
  fib1 : [o * o] --> o 
  mark : [o] --> o 
  ok : [o] --> o 
  proper : [o] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 
  top : [o] --> o 

  active(fib(X)) => mark(sel(X, fib1(s(0), s(0)))) 
  active(fib1(X, Y)) => mark(cons(X, fib1(Y, add(X, Y)))) 
  active(add(0, X)) => mark(X) 
  active(add(s(X), Y)) => mark(s(add(X, Y))) 
  active(sel(0, cons(X, Y))) => mark(X) 
  active(sel(s(X), cons(Y, Z))) => mark(sel(X, Z)) 
  active(fib(X)) => fib(active(X)) 
  active(sel(X, Y)) => sel(active(X), Y) 
  active(sel(X, Y)) => sel(X, active(Y)) 
  active(fib1(X, Y)) => fib1(active(X), Y) 
  active(fib1(X, Y)) => fib1(X, active(Y)) 
  active(s(X)) => s(active(X)) 
  active(cons(X, Y)) => cons(active(X), Y) 
  active(add(X, Y)) => add(active(X), Y) 
  active(add(X, Y)) => add(X, active(Y)) 
  fib(mark(X)) => mark(fib(X)) 
  sel(mark(X), Y) => mark(sel(X, Y)) 
  sel(X, mark(Y)) => mark(sel(X, Y)) 
  fib1(mark(X), Y) => mark(fib1(X, Y)) 
  fib1(X, mark(Y)) => mark(fib1(X, Y)) 
  s(mark(X)) => mark(s(X)) 
  cons(mark(X), Y) => mark(cons(X, Y)) 
  add(mark(X), Y) => mark(add(X, Y)) 
  add(X, mark(Y)) => mark(add(X, Y)) 
  proper(fib(X)) => fib(proper(X)) 
  proper(sel(X, Y)) => sel(proper(X), proper(Y)) 
  proper(fib1(X, Y)) => fib1(proper(X), proper(Y)) 
  proper(s(X)) => s(proper(X)) 
  proper(0) => ok(0) 
  proper(cons(X, Y)) => cons(proper(X), proper(Y)) 
  proper(add(X, Y)) => add(proper(X), proper(Y)) 
  fib(ok(X)) => ok(fib(X)) 
  sel(ok(X), ok(Y)) => ok(sel(X, Y)) 
  fib1(ok(X), ok(Y)) => ok(fib1(X, Y)) 
  s(ok(X)) => ok(s(X)) 
  cons(ok(X), ok(Y)) => ok(cons(X, Y)) 
  add(ok(X), ok(Y)) => ok(add(X, Y)) 
  top(mark(X)) => top(proper(X)) 
  top(ok(X)) => top(active(X))