/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 poly ... failed.
Freezing 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 poly ... 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 }
Sum... succeeded.
  neq(x1,x2)		w: (0)
  cond2(x1,x2,x3)		w: (0)
  s(x1)		w: (1 + x1)
  #cond1(x1,x2)		w: (0)
  #gr❆1_0(x1)		w: (0)
  gr❆1_0(x1)		w: (0)
  false()		w: (0)
  gr❆1_s(x1,x2)		w: (0)
  #p(x1)		w: (0)
  true()		w: (0)
  cond1(x1,x2)		w: (0)
  p(x1)		w: (0)
  0()		w: (0)
  #gr(x1,x2)		w: (0)
  #neq(x1,x2)		w: (x2)
  #cond2(x1,x2,x3)		w: (0)
  #gr❆1_s(x1,x2)		w: (0)
  gr(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 2, DPs: 5
	SCC { #2 #4 }
Sum... succeeded.
  neq(x1,x2)		w: (0)
  cond2(x1,x2,x3)		w: (0)
  s(x1)		w: (2 + x1)
  #cond1(x1,x2)		w: (0)
  #gr❆1_0(x1)		w: (0)
  gr❆1_0(x1)		w: (0)
  false()		w: (0)
  gr❆1_s(x1,x2)		w: (0)
  #p(x1)		w: (0)
  true()		w: (0)
  cond1(x1,x2)		w: (0)
  p(x1)		w: (0)
  0()		w: (0)
  #gr(x1,x2)		w: (x1)
  #neq(x1,x2)		w: (0)
  #cond2(x1,x2,x3)		w: (0)
  #gr❆1_s(x1,x2)		w: (1 + x1)
  gr(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2 #4
Number of SCCs: 1, DPs: 3
	SCC { #1 #6 #8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.