/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: gcd(x,y) -> if1(ge(x,y),x,y)
    5: if1(true(),x,y) -> if2(gt(y,0()),x,y)
    6: if1(false(),x,y) -> if3(gt(x,0()),x,y)
    7: if2(true(),x,y) -> gcd(minus(x,y),y)
    8: if2(false(),x,y) -> x
    9: if3(true(),x,y) -> gcd(x,minus(y,x))
    10: if3(false(),x,y) -> y
    11: gt(0(),y) -> false()
    12: gt(s(x),0()) -> true()
    13: gt(s(x),s(y)) -> gt(x,y)
    14: ge(x,0()) -> true()
    15: ge(0(),s(x)) -> false()
    16: ge(s(x),s(y)) -> ge(x,y)
Number of strict rules: 16
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: gcd(x,y) -> if1(ge(x,y),x,y)
5: if1(true(),x,y) -> if2(gt(y,0()),x,y)
6: if1(false(),x,y) -> if3(gt(x,0()),x,y)
7: if2(true(),x,y) -> gcd(minus(x,y),y)
8: if2(false(),x,y) -> x
9: if3(true(),x,y) -> gcd(x,minus(y,x))
10: if3(false(),x,y) -> y
11: gt❆1_0(y) -> false()
12: gt❆1_s(x,0()) -> true()
13: gt❆1_s(x,s(y)) -> gt(x,y)
14: ge(x,0()) -> true()
15: ge(0(),s(x)) -> false()
16: ge(s(x),s(y)) -> ge(x,y)
17: gt(0(),_1) ->= gt❆1_0(_1)
18: gt(s(_1),_2) ->= gt❆1_s(_1,_2)
Number of strict rules: 16
Direct poly ... failed.
Dependency Pairs:
   #1: #if(true(),x,y) -> #minus(x,y)
   #2: #if1(false(),x,y) -> #if3(gt(x,0()),x,y)
   #3: #if1(false(),x,y) -> #gt(x,0())
   #4: #gt❆1_s(x,s(y)) -> #gt(x,y)
   #5: #if3(true(),x,y) -> #gcd(x,minus(y,x))
   #6: #if3(true(),x,y) -> #minus(y,x)
   #7: #if2(true(),x,y) -> #gcd(minus(x,y),y)
   #8: #if2(true(),x,y) -> #minus(x,y)
   #9: #if1(true(),x,y) -> #if2(gt(y,0()),x,y)
   #10: #if1(true(),x,y) -> #gt(y,0())
   #11: #gt(0(),_1) ->? #gt❆1_0(_1)
   #12: #ge(s(x),s(y)) -> #ge(x,y)
   #13: #minus(s(x),y) -> #if(gt❆1_s(x,y),x,y)
   #14: #minus(s(x),y) -> #gt❆1_s(x,y)
   #15: #gcd(x,y) -> #if1(ge(x,y),x,y)
   #16: #gcd(x,y) -> #ge(x,y)
   #17: #gt(s(_1),_2) ->? #gt❆1_s(_1,_2)
Number of SCCs: 4, DPs: 10
	SCC { #12 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  gt❆1_0(x1)		w: (0)
  gt(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  if1(x1,x2,x3)		w: (0)
  false()		w: (0)
  #ge(x1,x2)		w: (x2 + x1)
  true()		w: (0)
  #if1(x1,x2,x3)		w: (0)
  if2(x1,x2,x3)		w: (0)
  #if3(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)
  if3(x1,x2,x3)		w: (0)
  #if(x1,x2,x3)		w: (0)
  gt❆1_s(x1,x2)		w: (0)
  #if2(x1,x2,x3)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #12
Number of SCCs: 3, DPs: 9
	SCC { #4 #17 }
Sum... succeeded.
  s(x1)		w: (2 + x1)
  gt❆1_0(x1)		w: (0)
  gt(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  if1(x1,x2,x3)		w: (0)
  false()		w: (0)
  #ge(x1,x2)		w: (0)
  true()		w: (0)
  #if1(x1,x2,x3)		w: (0)
  if2(x1,x2,x3)		w: (0)
  #if3(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)
  if3(x1,x2,x3)		w: (0)
  #if(x1,x2,x3)		w: (0)
  gt❆1_s(x1,x2)		w: (0)
  #if2(x1,x2,x3)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #17
Number of SCCs: 2, DPs: 7
	SCC { #1 #13 }
Sum... succeeded.
  s(x1)		w: (2 + x1)
  gt❆1_0(x1)		w: (42)
  gt(x1,x2)		w: (40 + x2 + x1)
  minus(x1,x2)		w: (0)
  gcd(x1,x2)		w: (0)
  if1(x1,x2,x3)		w: (0)
  false()		w: (43)
  #ge(x1,x2)		w: (0)
  true()		w: (40)
  #if1(x1,x2,x3)		w: (0)
  if2(x1,x2,x3)		w: (0)
  #if3(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)
  if3(x1,x2,x3)		w: (0)
  #if(x1,x2,x3)		w: (1 + x3 + x2)
  gt❆1_s(x1,x2)		w: (39)
  #if2(x1,x2,x3)		w: (0)
  #gcd(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1 #13
Number of SCCs: 1, DPs: 5
	SCC { #2 #5 #7 #9 #15 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.