/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: app(app(app(app(rec(),t),u),v),0()) -> t
    2: app(app(app(app(rec(),t),u),v),app(s(),x)) -> app(app(u,x),app(app(app(app(rec(),t),u),v),x))
    3: app(app(app(app(rec(),t),u),v),app(lim(),f)) -> app(app(v,f),app(app(app(app(rectuv(),t),u),v),app(f,n())))
    4: app(app(app(app(rectuv(),t),u),v),n()) -> app(app(app(app(rec(),t),u),v),n())
Number of strict rules: 4
Direct poly ... failed.
Freezing app
1: app❆4_rec(t,u,v,0()) -> t
2: app❆4_rec(t,u,v,app❆1_s(x)) -> app(app(u,x),app❆4_rec(t,u,v,x))
3: app❆4_rec(t,u,v,app❆1_lim(f)) -> app(app(v,f),app❆4_rectuv(t,u,v,app(f,n())))
4: app❆4_rectuv(t,u,v,n()) -> app❆4_rec(t,u,v,n())
5: app(rec(),_1) ->= app❆1_rec(_1)
6: app(app❆1_rec(_1),_2) ->= app❆2_rec(_1,_2)
7: app(app❆2_rec(_1,_2),_3) ->= app❆3_rec(_1,_2,_3)
8: app(app❆3_rec(_1,_2,_3),_4) ->= app❆4_rec(_1,_2,_3,_4)
9: app(rectuv(),_1) ->= app❆1_rectuv(_1)
10: app(app❆1_rectuv(_1),_2) ->= app❆2_rectuv(_1,_2)
11: app(app❆2_rectuv(_1,_2),_3) ->= app❆3_rectuv(_1,_2,_3)
12: app(app❆3_rectuv(_1,_2,_3),_4) ->= app❆4_rectuv(_1,_2,_3,_4)
13: app(s(),_1) ->= app❆1_s(_1)
14: app(lim(),_1) ->= app❆1_lim(_1)
Number of strict rules: 4
Direct poly ... failed.
Dependency Pairs:
   #1: #app❆4_rec(t,u,v,app❆1_s(x)) -> #app(app(u,x),app❆4_rec(t,u,v,x))
   #2: #app❆4_rec(t,u,v,app❆1_s(x)) -> #app(u,x)
   #3: #app❆4_rec(t,u,v,app❆1_s(x)) -> #app❆4_rec(t,u,v,x)
   #4: #app(app❆3_rectuv(_1,_2,_3),_4) ->? #app❆4_rectuv(_1,_2,_3,_4)
   #5: #app❆4_rec(t,u,v,app❆1_lim(f)) -> #app(app(v,f),app❆4_rectuv(t,u,v,app(f,n())))
   #6: #app❆4_rec(t,u,v,app❆1_lim(f)) -> #app(v,f)
   #7: #app❆4_rec(t,u,v,app❆1_lim(f)) -> #app❆4_rectuv(t,u,v,app(f,n()))
   #8: #app❆4_rec(t,u,v,app❆1_lim(f)) -> #app(f,n())
   #9: #app(app❆3_rec(_1,_2,_3),_4) ->? #app❆4_rec(_1,_2,_3,_4)
   #10: #app❆4_rectuv(t,u,v,n()) -> #app❆4_rec(t,u,v,n())
Number of SCCs: 1, DPs: 7
	SCC { #1..3 #5 #6 #8 #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... succeeded.
  app❆2_rec(x1,x2)		w: (max{0, x2_1, x1_1}, -1)
  app❆4_rec(x1,x2,x3,x4)		w: (max{0, x4_2 + x4_1, x3_1, x2_1, x1_1}, x4_2)
  app❆1_lim(x1)		w: (max{0, x1_1}, 0)
  s()		w: (13825, -1)
  app❆3_rec(x1,x2,x3)		w: (max{0, x3_1, x2_1, x1_1}, -32530 + x3_2 + x2_2 + x1_2)
  n()		w: (1, -33509)
  app❆1_rectuv(x1)		w: (max{0, x1_1}, 0)
  rectuv()		w: (9245, -1)
  app❆2_rectuv(x1,x2)		w: (max{0, x2_1, x1_1}, 0)
  0()		w: (0, 0)
  app❆3_rectuv(x1,x2,x3)		w: (max{0, x3_1, x2_1, x1_1}, -1769)
  rec()		w: (3824, -1)
  app❆1_rec(x1)		w: (max{0, x1_1}, -14022)
  #app(x1,x2)		w: (max{0, 1 + x2_2, -2 + x1_2}, -36456)
  #app❆4_rec(x1,x2,x3,x4)		w: (max{0, 1 + x4_2, -3, -1, -32531}, -36456)
  app❆4_rectuv(x1,x2,x3,x4)		w: (max{0, -33509, x3_1, x2_1, x1_1}, -32533)
  app❆1_s(x1)		w: (max{0, x1_1}, 0)
  #app❆4_rectuv(x1,x2,x3,x4)		w: (0, 0)
  lim()		w: (21095, -1)
  app(x1,x2)		w: (max{0, x2_1, x1_1}, 0)
    USABLE RULES: { 1..14 }
    Removed DPs: #5 #8
Number of SCCs: 1, DPs: 5
	SCC { #1..3 #6 #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.