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


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MAYBE
Input TRS:
    1: minus(s(x),y) -> if(gt(s(x),y),x,y)
    2: if(true(),x,y) -> s(minus(x,y))
    3: if(false(),x,y) -> 0()
    4: ge(x,0()) -> true()
    5: ge(0(),s(x)) -> false()
    6: ge(s(x),s(y)) -> ge(x,y)
    7: gt(0(),y) -> false()
    8: gt(s(x),0()) -> true()
    9: gt(s(x),s(y)) -> gt(x,y)
    10: div(x,y) -> if1(ge(x,y),x,y)
    11: if1(true(),x,y) -> if2(gt(y,0()),x,y)
    12: if1(false(),x,y) -> 0()
    13: if2(true(),x,y) -> s(div(minus(x,y),y))
    14: if2(false(),x,y) -> 0()
Number of strict rules: 14
Direct poly ... failed.
Freezing gt
1: minus(s(x),y) -> if(gt❆1_s(x,y),x,y)
2: if(true(),x,y) -> s(minus(x,y))
3: if(false(),x,y) -> 0()
4: ge(x,0()) -> true()
5: ge(0(),s(x)) -> false()
6: ge(s(x),s(y)) -> ge(x,y)
7: gt❆1_0(y) -> false()
8: gt❆1_s(x,0()) -> true()
9: gt❆1_s(x,s(y)) -> gt(x,y)
10: div(x,y) -> if1(ge(x,y),x,y)
11: if1(true(),x,y) -> if2(gt(y,0()),x,y)
12: if1(false(),x,y) -> 0()
13: if2(true(),x,y) -> s(div(minus(x,y),y))
14: if2(false(),x,y) -> 0()
15: gt(0(),_1) ->= gt❆1_0(_1)
16: gt(s(_1),_2) ->= gt❆1_s(_1,_2)
Number of strict rules: 14
Direct poly ... failed.
Dependency Pairs:
   #1: #if(true(),x,y) -> #minus(x,y)
   #2: #ge(s(x),s(y)) -> #ge(x,y)
   #3: #if2(true(),x,y) -> #div(minus(x,y),y)
   #4: #if2(true(),x,y) -> #minus(x,y)
   #5: #gt❆1_s(x,s(y)) -> #gt(x,y)
   #6: #if1(true(),x,y) -> #if2(gt(y,0()),x,y)
   #7: #if1(true(),x,y) -> #gt(y,0())
   #8: #div(x,y) -> #if1(ge(x,y),x,y)
   #9: #div(x,y) -> #ge(x,y)
   #10: #gt(s(_1),_2) ->? #gt❆1_s(_1,_2)
   #11: #minus(s(x),y) -> #if(gt❆1_s(x,y),x,y)
   #12: #minus(s(x),y) -> #gt❆1_s(x,y)
   #13: #gt(0(),_1) ->? #gt❆1_0(_1)
Number of SCCs: 4, DPs: 8
	SCC { #2 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  gt❆1_0(x1)		w: (0)
  gt(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  if1(x1,x2,x3)		w: (0)
  false()		w: (0)
  div(x1,x2)		w: (0)
  #ge(x1,x2)		w: (x2 + x1)
  true()		w: (0)
  #if1(x1,x2,x3)		w: (0)
  if2(x1,x2,x3)		w: (0)
  if(x1,x2,x3)		w: (0)
  0()		w: (0)
  ge(x1,x2)		w: (0)
  #gt❆1_0(x1)		w: (0)
  #gt(x1,x2)		w: (0)
  #gt❆1_s(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
  gt❆1_s(x1,x2)		w: (0)
  #if2(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 3, DPs: 7
	SCC { #5 #10 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (2 + x1)
  gt❆1_0(x1)		w: (0)
  gt(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  if1(x1,x2,x3)		w: (0)
  false()		w: (0)
  div(x1,x2)		w: (0)
  #ge(x1,x2)		w: (0)
  true()		w: (0)
  #if1(x1,x2,x3)		w: (0)
  if2(x1,x2,x3)		w: (0)
  if(x1,x2,x3)		w: (0)
  0()		w: (0)
  ge(x1,x2)		w: (0)
  #gt❆1_0(x1)		w: (0)
  #gt(x1,x2)		w: (1 + x2)
  #gt❆1_s(x1,x2)		w: (x2)
  #minus(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
  gt❆1_s(x1,x2)		w: (0)
  #if2(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5 #10
Number of SCCs: 2, DPs: 5
	SCC { #1 #11 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (2 + x1)
  gt❆1_0(x1)		w: (42)
  gt(x1,x2)		w: (40 + x2 + x1)
  minus(x1,x2)		w: (0)
  if1(x1,x2,x3)		w: (0)
  false()		w: (43)
  div(x1,x2)		w: (0)
  #ge(x1,x2)		w: (0)
  true()		w: (40)
  #if1(x1,x2,x3)		w: (0)
  if2(x1,x2,x3)		w: (0)
  if(x1,x2,x3)		w: (0)
  0()		w: (1)
  ge(x1,x2)		w: (0)
  #gt❆1_0(x1)		w: (0)
  #gt(x1,x2)		w: (1)
  #gt❆1_s(x1,x2)		w: (0)
  #minus(x1,x2)		w: (x2 + x1)
  #if(x1,x2,x3)		w: (1 + x3 + x2)
  gt❆1_s(x1,x2)		w: (39)
  #if2(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1 #11
Number of SCCs: 1, DPs: 3
	SCC { #3 #6 #8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.