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


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YES
Input TRS:
    1: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
    2: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
Number of strict rules: 2
Direct poly ... failed.
Freezing 0❆1_1 0
1: 0❆1_1❆1_2(1(x1)) -> 1(2(1(1(0❆1_1❆1_2(0❆1_1❆1_2(x1))))))
2: 0❆1_1❆1_2(1(x1)) -> 1(2(1(1(0❆1_1❆1_2(0❆1_1❆1_2(0❆1_1❆1_2(x1)))))))
3: 0(1(_1)) ->= 0❆1_1(_1)
4: 0❆1_1(2(_1)) ->= 0❆1_1❆1_2(_1)
Number of strict rules: 2
Direct poly ... removes: 4 3
  1(x1)		w: (x1)
  0(x1)		w: (2 + x1)
  0❆1_1❆1_2(x1)		w: (x1)
  0❆1_1(x1)		w: (1 + x1)
  2(x1)		w: (x1)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #0❆1_1❆1_2(1(x1)) -> #0❆1_1❆1_2(0❆1_1❆1_2(0❆1_1❆1_2(x1)))
   #2: #0❆1_1❆1_2(1(x1)) -> #0❆1_1❆1_2(0❆1_1❆1_2(x1))
   #3: #0❆1_1❆1_2(1(x1)) -> #0❆1_1❆1_2(x1)
   #4: #0❆1_1❆1_2(1(x1)) -> #0❆1_1❆1_2(0❆1_1❆1_2(x1))
   #5: #0❆1_1❆1_2(1(x1)) -> #0❆1_1❆1_2(x1)
Number of SCCs: 1, DPs: 5
	SCC { #1..5 }
Sum... succeeded.
  1(x1)		w: (79 + x1)
  0(x1)		w: (0)
  0❆1_1❆1_2(x1)		w: (39 + x1)
  0❆1_1(x1)		w: (0)
  #0❆1_1❆1_2(x1)		w: (x1)
  2(x1)		w: (1)
    USABLE RULES: { 1 2 }
    Removed DPs: #1..5
Number of SCCs: 0, DPs: 0