/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem:
 f(x,y) -> x
 g(a()) -> h(a(),b(),a())
 i(x) -> f(x,x)
 h(x,x,y) -> g(x)

Proof:
 Polynomial Interpretation Processor:
  dimension: 1
  interpretation:
   [h](x0, x1, x2) = x0 + 4x1x1 + x2x2 + 5,
   
   [a] = 3,
   
   [b] = 0,
   
   [i](x0) = x0 + x0x0 + 5,
   
   [f](x0, x1) = x0 + x1x1 + 4,
   
   [g](x0) = -2x0 + 4x0x0
  orientation:
   f(x,y) = x + y*y + 4 >= x = x
   
   g(a()) = 30 >= 17 = h(a(),b(),a())
   
   i(x) = x + x*x + 5 >= x + x*x + 4 = f(x,x)
   
   h(x,x,y) = x + 4x*x + y*y + 5 >= -2x + 4x*x = g(x)
  problem:
   
  Qed