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


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YES
Input TRS:
    1: app(app(map_1(),f),app(app(cons(),h),t)) -> app(app(cons(),app(f,h)),app(app(map_1(),f),t))
    2: app(app(app(map_2(),f),c),app(app(cons(),h),t)) -> app(app(cons(),app(app(f,h),c)),app(app(app(map_2(),f),c),t))
    3: app(app(app(app(map_3(),f),g()),c),app(app(cons(),h),t)) -> app(app(cons(),app(app(app(f,g()),h),c)),app(app(app(app(map_3(),f),g()),c),t))
Number of strict rules: 3
Direct poly ... failed.
Freezing app
1: app❆2_map_1(f,app❆2_cons(h,t)) -> app❆2_cons(app(f,h),app❆2_map_1(f,t))
2: app❆3_map_2(f,c,app❆2_cons(h,t)) -> app❆2_cons(app(app(f,h),c),app❆3_map_2(f,c,t))
3: app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> app❆2_cons(app(app(app(f,g()),h),c),app❆4_map_3(f,g(),c,t))
4: app(map_2(),_1) ->= app❆1_map_2(_1)
5: app(app❆1_map_2(_1),_2) ->= app❆2_map_2(_1,_2)
6: app(app❆2_map_2(_1,_2),_3) ->= app❆3_map_2(_1,_2,_3)
7: app(cons(),_1) ->= app❆1_cons(_1)
8: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2)
9: app(map_3(),_1) ->= app❆1_map_3(_1)
10: app(app❆1_map_3(_1),_2) ->= app❆2_map_3(_1,_2)
11: app(app❆2_map_3(_1,_2),_3) ->= app❆3_map_3(_1,_2,_3)
12: app(app❆3_map_3(_1,_2,_3),_4) ->= app❆4_map_3(_1,_2,_3,_4)
13: app(map_1(),_1) ->= app❆1_map_1(_1)
14: app(app❆1_map_1(_1),_2) ->= app❆2_map_1(_1,_2)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #app❆3_map_2(f,c,app❆2_cons(h,t)) -> #app(app(f,h),c)
   #2: #app❆3_map_2(f,c,app❆2_cons(h,t)) -> #app(f,h)
   #3: #app❆3_map_2(f,c,app❆2_cons(h,t)) -> #app❆3_map_2(f,c,t)
   #4: #app(app❆2_map_2(_1,_2),_3) ->? #app❆3_map_2(_1,_2,_3)
   #5: #app(app❆3_map_3(_1,_2,_3),_4) ->? #app❆4_map_3(_1,_2,_3,_4)
   #6: #app(app❆1_map_1(_1),_2) ->? #app❆2_map_1(_1,_2)
   #7: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app(app(app(f,g()),h),c)
   #8: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app(app(f,g()),h)
   #9: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app(f,g())
   #10: #app❆4_map_3(f,g(),c,app❆2_cons(h,t)) -> #app❆4_map_3(f,g(),c,t)
   #11: #app❆2_map_1(f,app❆2_cons(h,t)) -> #app(f,h)
   #12: #app❆2_map_1(f,app❆2_cons(h,t)) -> #app❆2_map_1(f,t)
Number of SCCs: 1, DPs: 12
	SCC { #1..12 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  map_2()		w: (0)
  app❆2_map_3(x1,x2)		w: (max{0, 30616 + x2 + x1})
  app❆1_map_2(x1)		w: (max{0, x1})
  app❆3_map_3(x1,x2,x3)		w: (max{0, 61231 + x3 + x2 + x1})
  #app❆3_map_2(x1,x2,x3)		w: (max{0, 30616 + x3 + x2 + x1})
  #app❆2_map_1(x1,x2)		w: (max{0, 30616 + x2 + x1})
  map_1()		w: (0)
  app❆2_map_1(x1,x2)		w: (max{0, 30616 + x2 + x1})
  app❆4_map_3(x1,x2,x3,x4)		w: (max{0, 91846 + x4 + x3 + x1})
  app❆2_map_2(x1,x2)		w: (max{0, 30615 + x2 + x1})
  #app(x1,x2)		w: (max{0, 30615 + x2 + x1})
  #app❆4_map_3(x1,x2,x3,x4)		w: (max{0, 1 + x4 + x3 + x1})
  map_3()		w: (0)
  cons()		w: (71680)
  app❆2_cons(x1,x2)		w: (max{0, 30613 + x2, 122460 + x1})
  app❆1_cons(x1)		w: (max{0, 102295 + x1})
  app❆1_map_3(x1)		w: (max{0, 24762 + x1})
  g()		w: (1)
  app❆1_map_1(x1)		w: (max{0, 2 + x1})
  app❆3_map_2(x1,x2,x3)		w: (max{0, 61230 + x3 + x2 + x1})
  app(x1,x2)		w: (max{0, 30615 + x2 + x1})
    USABLE RULES: { 1..14 }
    Removed DPs: #1..12
Number of SCCs: 0, DPs: 0