/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 
  U11 : [o * o] --> o 
  U12 : [o * o] --> o 
  a!6220!6220U11 : [o * o] --> o 
  a!6220!6220U12 : [o * o] --> o 
  a!6220!6220length : [o] --> o 
  a!6220!6220zeros : [] --> o 
  cons : [o * o] --> o 
  length : [o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  tt : [] --> o 
  zeros : [] --> o 

  a!6220!6220zeros => cons(0, zeros) 
  a!6220!6220U11(tt, X) => a!6220!6220U12(tt, X) 
  a!6220!6220U12(tt, X) => s(a!6220!6220length(mark(X))) 
  a!6220!6220length(nil) => 0 
  a!6220!6220length(cons(X, Y)) => a!6220!6220U11(tt, Y) 
  mark(zeros) => a!6220!6220zeros 
  mark(U11(X, Y)) => a!6220!6220U11(mark(X), Y) 
  mark(U12(X, Y)) => a!6220!6220U12(mark(X), Y) 
  mark(length(X)) => a!6220!6220length(mark(X)) 
  mark(cons(X, Y)) => cons(mark(X), Y) 
  mark(0) => 0 
  mark(tt) => tt 
  mark(s(X)) => s(mark(X)) 
  mark(nil) => nil 
  a!6220!6220zeros => zeros 
  a!6220!6220U11(X, Y) => U11(X, Y) 
  a!6220!6220U12(X, Y) => U12(X, Y) 
  a!6220!6220length(X) => length(X)