/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.

  0 : [] --> o 
  a!6220!6220add : [o * o] --> o 
  a!6220!6220fib : [o] --> o 
  a!6220!6220fib1 : [o * o] --> o 
  a!6220!6220sel : [o * o] --> o 
  add : [o * o] --> o 
  cons : [o * o] --> o 
  fib : [o] --> o 
  fib1 : [o * o] --> o 
  mark : [o] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 

  a!6220!6220fib(X) => a!6220!6220sel(mark(X), a!6220!6220fib1(s(0), s(0))) 
  a!6220!6220fib1(X, Y) => cons(mark(X), fib1(Y, add(X, Y))) 
  a!6220!6220add(0, X) => mark(X) 
  a!6220!6220add(s(X), Y) => s(a!6220!6220add(mark(X), mark(Y))) 
  a!6220!6220sel(0, cons(X, Y)) => mark(X) 
  a!6220!6220sel(s(X), cons(Y, Z)) => a!6220!6220sel(mark(X), mark(Z)) 
  mark(fib(X)) => a!6220!6220fib(mark(X)) 
  mark(sel(X, Y)) => a!6220!6220sel(mark(X), mark(Y)) 
  mark(fib1(X, Y)) => a!6220!6220fib1(mark(X), mark(Y)) 
  mark(add(X, Y)) => a!6220!6220add(mark(X), mark(Y)) 
  mark(s(X)) => s(mark(X)) 
  mark(0) => 0 
  mark(cons(X, Y)) => cons(mark(X), Y) 
  a!6220!6220fib(X) => fib(X) 
  a!6220!6220sel(X, Y) => sel(X, Y) 
  a!6220!6220fib1(X, Y) => fib1(X, Y) 
  a!6220!6220add(X, Y) => add(X, Y)