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


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MAYBE
Input TRS:
    1: cond1(s(x),y) -> cond2(gr(s(x),y),s(x),y)
    2: cond2(true(),x,y) -> cond1(y,y)
    3: cond2(false(),x,y) -> cond1(p(x),y)
    4: gr(0(),x) -> false()
    5: gr(s(x),0()) -> true()
    6: gr(s(x),s(y)) -> gr(x,y)
    7: neq(0(),0()) -> false()
    8: neq(0(),s(x)) -> true()
    9: neq(s(x),0()) -> true()
    10: neq(s(x),s(y)) -> neq(x,y)
    11: p(0()) -> 0()
    12: p(s(x)) -> x
Number of strict rules: 12
Direct POLO(bPol) ... failed.
Uncurrying gr
1: cond1(s(x),y) -> cond2(gr^1_s(x,y),s(x),y)
2: cond2(true(),x,y) -> cond1(y,y)
3: cond2(false(),x,y) -> cond1(p(x),y)
4: gr^1_0(x) -> false()
5: gr^1_s(x,0()) -> true()
6: gr^1_s(x,s(y)) -> gr(x,y)
7: neq(0(),0()) -> false()
8: neq(0(),s(x)) -> true()
9: neq(s(x),0()) -> true()
10: neq(s(x),s(y)) -> neq(x,y)
11: p(0()) -> 0()
12: p(s(x)) -> x
13: gr(0(),_1) ->= gr^1_0(_1)
14: gr(s(_1),_2) ->= gr^1_s(_1,_2)
Number of strict rules: 12
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #cond2(true(),x,y) -> #cond1(y,y)
   #2: #gr^1_s(x,s(y)) -> #gr(x,y)
   #3: #gr(0(),_1) ->? #gr^1_0(_1)
   #4: #gr(s(_1),_2) ->? #gr^1_s(_1,_2)
   #5: #neq(s(x),s(y)) -> #neq(x,y)
   #6: #cond2(false(),x,y) -> #cond1(p(x),y)
   #7: #cond2(false(),x,y) -> #p(x)
   #8: #cond1(s(x),y) -> #cond2(gr^1_s(x,y),s(x),y)
   #9: #cond1(s(x),y) -> #gr^1_s(x,y)
Number of SCCs: 3, DPs: 6
  SCC { #5 }
POLO(Sum)... succeeded.
      #gr^1_0	w: 0
      neq	w: 0
      cond2	w: 0
      s 	w: x1 + 1
      #cond1	w: 0
      gr^1_s	w: 0
      false	w: 0
      #p 	w: 0
      gr^1_0	w: 0
      true	w: 0
      cond1	w: 0
      p 	w: 0
      0 	w: 0
      #gr	w: 0
      #neq	w: x2
      #cond2	w: 0
      #gr^1_s	w: 0
      gr	w: 0
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 2, DPs: 5
  SCC { #2 #4 }
POLO(Sum)... succeeded.
      #gr^1_0	w: 0
      neq	w: 0
      cond2	w: 0
      s 	w: x1 + 2
      #cond1	w: 0
      gr^1_s	w: 0
      false	w: 0
      #p 	w: 0
      gr^1_0	w: 0
      true	w: 0
      cond1	w: 0
      p 	w: 0
      0 	w: 0
      #gr	w: x2 + 1
      #neq	w: 0
      #cond2	w: 0
      #gr^1_s	w: x2
      gr	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #4
Number of SCCs: 1, DPs: 3
  SCC { #1 #6 #8 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.