/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: f(true(),x) -> f(eq(0(),minus(x,x)),plus1(x))
    2: plus1(x) -> plus(x,s(0()))
    3: plus(0(),y) -> y
    4: plus(s(x),y) -> plus(x,s(y))
    5: minus(x,0()) -> x
    6: minus(0(),y) -> 0()
    7: minus(s(x),s(y)) -> minus(x,y)
    8: eq(0(),0()) -> true()
    9: eq(s(x),0()) -> false()
    10: eq(0(),s(y)) -> false()
    11: eq(s(x),s(y)) -> eq(x,y)
Number of strict rules: 11
Direct poly ... failed.
Freezing eq
1: f(true(),x) -> f(eq❆1_0(minus(x,x)),plus1(x))
2: plus1(x) -> plus(x,s(0()))
3: plus(0(),y) -> y
4: plus(s(x),y) -> plus(x,s(y))
5: minus(x,0()) -> x
6: minus(0(),y) -> 0()
7: minus(s(x),s(y)) -> minus(x,y)
8: eq❆1_0(0()) -> true()
9: eq❆1_s(x,0()) -> false()
10: eq❆1_0(s(y)) -> false()
11: eq❆1_s(x,s(y)) -> eq(x,y)
12: eq(0(),_1) ->= eq❆1_0(_1)
13: eq(s(_1),_2) ->= eq❆1_s(_1,_2)
Number of strict rules: 11
Direct poly ... failed.
Dependency Pairs:
   #1: #plus1(x) -> #plus(x,s(0()))
   #2: #eq(s(_1),_2) ->? #eq❆1_s(_1,_2)
   #3: #eq❆1_s(x,s(y)) -> #eq(x,y)
   #4: #eq(0(),_1) ->? #eq❆1_0(_1)
   #5: #minus(s(x),s(y)) -> #minus(x,y)
   #6: #f(true(),x) -> #f(eq❆1_0(minus(x,x)),plus1(x))
   #7: #f(true(),x) -> #eq❆1_0(minus(x,x))
   #8: #f(true(),x) -> #minus(x,x)
   #9: #f(true(),x) -> #plus1(x)
   #10: #plus(s(x),y) -> #plus(x,s(y))
Number of SCCs: 4, DPs: 5
	SCC { #5 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  plus1(x1)		w: (0)
  #plus(x1,x2)		w: (0)
  eq(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  #eq❆1_0(x1)		w: (0)
  f(x1,x2)		w: (0)
  #eq(x1,x2)		w: (0)
  eq❆1_s(x1,x2)		w: (0)
  0()		w: (0)
  #eq❆1_s(x1,x2)		w: (0)
  eq❆1_0(x1)		w: (0)
  #f(x1,x2)		w: (0)
  #minus(x1,x2)		w: (x2)
  plus(x1,x2)		w: (0)
  #plus1(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 3, DPs: 4
	SCC { #10 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  plus1(x1)		w: (0)
  #plus(x1,x2)		w: (x1)
  eq(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  #eq❆1_0(x1)		w: (0)
  f(x1,x2)		w: (0)
  #eq(x1,x2)		w: (0)
  eq❆1_s(x1,x2)		w: (0)
  0()		w: (0)
  #eq❆1_s(x1,x2)		w: (0)
  eq❆1_0(x1)		w: (0)
  #f(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  plus(x1,x2)		w: (0)
  #plus1(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #10
Number of SCCs: 2, DPs: 3
	SCC { #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.