/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: sum(cons(s(n),x),cons(m,y)) -> sum(cons(n,x),cons(s(m),y))
    2: sum(cons(0(),x),y) -> sum(x,y)
    3: sum(nil(),y) -> y
    4: weight(cons(n,cons(m,x))) -> weight(sum(cons(n,cons(m,x)),cons(0(),x)))
    5: weight(cons(n,nil())) -> n
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Uncurrying sum
1: sum^1_cons(s(n),x,cons(m,y)) -> sum^1_cons(n,x,cons(s(m),y))
2: sum^1_cons(0(),x,y) -> sum(x,y)
3: sum^1_nil(y) -> y
4: weight(cons(n,cons(m,x))) -> weight(sum^1_cons(n,cons(m,x),cons(0(),x)))
5: weight(cons(n,nil())) -> n
6: sum(cons(_1,_2),_3) ->= sum^1_cons(_1,_2,_3)
7: sum(nil(),_1) ->= sum^1_nil(_1)
Number of strict rules: 5
Direct POLO(bPol) ... removes: 4 3 5 7 6 2
      s 	w: x1 + 1
      sum^1_cons	w: x1 + x2 + x3
      sum	w: x1 + x2
      0 	w: 1
      sum^1_nil	w: x1 + 1
      nil	w: 2
      weight	w: x1
      cons	w: x1 + 2 * x2 + 2
Number of strict rules: 1
Direct POLO(bPol) ... removes: 1
      s 	w: x1 + 1
      sum^1_cons	w: 2 * x1 + x2 + x3 + 2
      sum	w: x1 + x2
      0 	w: 1
      sum^1_nil	w: x1 + 1
      nil	w: 2
      weight	w: x1
      cons	w: x1 + 2 * x2 + 2
Number of strict rules: 0