/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES

Problem:
 g(x,y) -> x
 g(x,y) -> y
 f(s(x),y,y) -> f(y,x,s(x))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [f](x0, x1, x2) = 3x0 + 4x1 + 2x2 + 2,
   
   [s](x0) = 4x0 + 3,
   
   [g](x0, x1) = 4x0 + 4x1 + 1
  orientation:
   g(x,y) = 4x + 4y + 1 >= x = x
   
   g(x,y) = 4x + 4y + 1 >= y = y
   
   f(s(x),y,y) = 12x + 6y + 11 >= 12x + 3y + 8 = f(y,x,s(x))
  problem:
   
  Qed