/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 POLO(bPol) ... failed.
Uncurrying 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 POLO(bPol) ... 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 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      map_2	w: 0
      app^1_map_1	w: max(x1 + 11, 0)
      app^1_cons	w: max(x1 + 6, 0)
      app^1_map_2	w: max(x1, 0)
      #app^3_map_2	w: max(x1 + x2 + x3 - 7, 0)
      app^1_map_3	w: max(x1 + 2, 0)
      map_1	w: 9
      app^3_map_2	w: max(x1 + x2 + x3 + 4, 0)
      app^3_map_3	w: max(x1 + x2 + x3 + 6, 0)
      app^2_map_2	w: max(x1 + x2 + 2, 0)
      #app	w: max(x1 + x2 - 9, 0)
      app^2_map_1	w: max(x1 + x2 + 3, 0)
      map_3	w: 0
      #app^2_map_1	w: max(x1 + x2 + 1, 0)
      cons	w: 4
      app^4_map_3	w: max(x1 + x3 + x4 + 7, 0)
      #app^4_map_3	w: max(x1 + x3 + x4 - 3, 0)
      app^2_map_3	w: max(x1 + x2 + 4, 0)
      g 	w: 1
      app^2_cons	w: max(x1, x2 + 8, 0)
      app	w: max(x1 + x2 + 2, 0)
    USABLE RULES: { 1..14 }
    Removed DPs: #2 #3 #6..12
Number of SCCs: 1, DPs: 2
  SCC { #1 #4 }
POLO(Sum)... succeeded.
      map_2	w: 1
      app^1_map_1	w: x1 + 1
      app^1_cons	w: x1 + 2
      app^1_map_2	w: x1 + 1
      #app^3_map_2	w: x1 + x2 + x3 + 1
      app^1_map_3	w: x1 + 1
      map_1	w: 1
      app^3_map_2	w: x1 + x2 + x3 + 2
      app^3_map_3	w: x1 + x2 + x3 + 2
      app^2_map_2	w: x1 + x2 + 2
      #app	w: x1 + x2
      app^2_map_1	w: x1 + x2 + 1
      map_3	w: 1
      #app^2_map_1	w: 0
      cons	w: 1
      app^4_map_3	w: x1 + x2 + x3 + x4 + 3
      #app^4_map_3	w: 0
      app^2_map_3	w: x1 + x2 + 1
      g 	w: 1
      app^2_cons	w: x1 + 1
      app	w: x1 + x2 + 1
    USABLE RULES: { 1..14 }
    Removed DPs: #1 #4
Number of SCCs: 0, DPs: 0