/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: f(a(),f(b(),x)) -> f(b(),f(a(),x))
    2: f(b(),f(c(),x)) -> f(c(),f(b(),x))
    3: f(c(),f(a(),x)) -> f(a(),f(c(),x))
Number of strict rules: 3
Direct poly ... failed.
Freezing f
1: f❆1_a(f❆1_b(x)) -> f❆1_b(f❆1_a(x))
2: f❆1_b(f❆1_c(x)) -> f❆1_c(f❆1_b(x))
3: f❆1_c(f❆1_a(x)) -> f❆1_a(f❆1_c(x))
4: f(a(),_1) ->= f❆1_a(_1)
5: f(c(),_1) ->= f❆1_c(_1)
6: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 3
Direct poly ... removes: 4 1 5 6
  a()		w: (10452)
  b()		w: (36467)
  c()		w: (1)
  f❆1_c(x1)		w: (x1)
  f(x1,x2)		w: (2 * x2 + x1)
  f❆1_b(x1)		w: (5854 + x1)
  f❆1_a(x1)		w: (10451 + 2 * x1)
Number of strict rules: 2
Direct poly ... removes: 2
  a()		w: (10452)
  b()		w: (36467)
  c()		w: (1)
  f❆1_c(x1)		w: (1 + x1)
  f(x1,x2)		w: (2 * x2 + x1)
  f❆1_b(x1)		w: (1 + 2 * x1)
  f❆1_a(x1)		w: (x1)
Number of strict rules: 1
Direct poly ... removes: 3
  a()		w: (1)
  b()		w: (2)
  c()		w: (1)
  f❆1_c(x1)		w: (591 + 2 * x1)
  f(x1,x2)		w: (590 + 2 * x2 + x1)
  f❆1_b(x1)		w: (592 + 2 * x1)
  f❆1_a(x1)		w: (1 + x1)
Number of strict rules: 0