/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: app(app(h(),z),app(e(),x)) -> app(app(h(),app(c(),z)),app(app(d(),z),x))
    2: app(app(d(),z),app(app(g(),0()),0())) -> app(e(),0())
    3: app(app(d(),z),app(app(g(),x),y)) -> app(app(g(),app(e(),x)),app(app(d(),z),y))
    4: app(app(d(),app(c(),z)),app(app(g(),app(app(g(),x),y)),0())) -> app(app(g(),app(app(d(),app(c(),z)),app(app(g(),x),y))),app(app(d(),z),app(app(g(),x),y)))
    5: app(app(g(),app(e(),x)),app(e(),y)) -> app(e(),app(app(g(),x),y))
    6: app(app(map(),f),nil()) -> nil()
    7: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs))
    8: app(app(filter(),f),nil()) -> nil()
    9: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs)
    10: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs))
    11: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs)
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^2_h(z,app^1_e(x)) -> app^2_h(app^1_c(z),app^2_d(z,x))
2: app^2_d(z,app^2_g(0(),0())) -> app^1_e(0())
3: app^2_d(z,app^2_g(x,y)) -> app^2_g(app^1_e(x),app^2_d(z,y))
4: app^2_d(app^1_c(z),app^2_g(app^2_g(x,y),0())) -> app^2_g(app^2_d(app^1_c(z),app^2_g(x,y)),app^2_d(z,app^2_g(x,y)))
5: app^2_g(app^1_e(x),app^1_e(y)) -> app^1_e(app^2_g(x,y))
6: app^2_map(f,nil()) -> nil()
7: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs))
8: app^2_filter(f,nil()) -> nil()
9: app^2_filter(f,app^2_cons(x,xs)) -> app^4_filter2(app(f,x),f,x,xs)
10: app^4_filter2(true(),f,x,xs) -> app^2_cons(x,app^2_filter(f,xs))
11: app^4_filter2(false(),f,x,xs) -> app^2_filter(f,xs)
12: app(h(),_1) ->= app^1_h(_1)
13: app(app^1_h(_1),_2) ->= app^2_h(_1,_2)
14: app(e(),_1) ->= app^1_e(_1)
15: app(cons(),_1) ->= app^1_cons(_1)
16: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2)
17: app(d(),_1) ->= app^1_d(_1)
18: app(app^1_d(_1),_2) ->= app^2_d(_1,_2)
19: app(filter(),_1) ->= app^1_filter(_1)
20: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2)
21: app(c(),_1) ->= app^1_c(_1)
22: app(map(),_1) ->= app^1_map(_1)
23: app(app^1_map(_1),_2) ->= app^2_map(_1,_2)
24: app(g(),_1) ->= app^1_g(_1)
25: app(app^1_g(_1),_2) ->= app^2_g(_1,_2)
26: app(filter2(),_1) ->= app^1_filter2(_1)
27: app(app^1_filter2(_1),_2) ->= app^2_filter2(_1,_2)
28: app(app^2_filter2(_1,_2),_3) ->= app^3_filter2(_1,_2,_3)
29: app(app^3_filter2(_1,_2,_3),_4) ->= app^4_filter2(_1,_2,_3,_4)
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4)
   #2: #app(app^1_h(_1),_2) ->? #app^2_h(_1,_2)
   #3: #app^2_filter(f,app^2_cons(x,xs)) -> #app^4_filter2(app(f,x),f,x,xs)
   #4: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x)
   #5: #app^4_filter2(false(),f,x,xs) -> #app^2_filter(f,xs)
   #6: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2)
   #7: #app(app^1_g(_1),_2) ->? #app^2_g(_1,_2)
   #8: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2)
   #9: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x)
   #10: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs)
   #11: #app^4_filter2(true(),f,x,xs) -> #app^2_filter(f,xs)
   #12: #app^2_g(app^1_e(x),app^1_e(y)) -> #app^2_g(x,y)
   #13: #app^2_d(z,app^2_g(x,y)) -> #app^2_g(app^1_e(x),app^2_d(z,y))
   #14: #app^2_d(z,app^2_g(x,y)) -> #app^2_d(z,y)
   #15: #app^2_h(z,app^1_e(x)) -> #app^2_h(app^1_c(z),app^2_d(z,x))
   #16: #app^2_h(z,app^1_e(x)) -> #app^2_d(z,x)
   #17: #app^2_d(app^1_c(z),app^2_g(app^2_g(x,y),0())) -> #app^2_g(app^2_d(app^1_c(z),app^2_g(x,y)),app^2_d(z,app^2_g(x,y)))
   #18: #app^2_d(app^1_c(z),app^2_g(app^2_g(x,y),0())) -> #app^2_d(app^1_c(z),app^2_g(x,y))
   #19: #app^2_d(app^1_c(z),app^2_g(app^2_g(x,y),0())) -> #app^2_d(z,app^2_g(x,y))
   #20: #app(app^1_d(_1),_2) ->? #app^2_d(_1,_2)
Number of SCCs: 4, DPs: 13
  SCC { #12 }
POLO(Sum)... succeeded.
      h 	w: 0
      d 	w: 0
      app^1_cons	w: 0
      #app^2_map	w: 0
      app^2_filter2	w: 0
      app^4_filter2	w: 0
      #app^2_d	w: 0
      false	w: 0
      #app^2_g	w: x1 + x2
      c 	w: 0
      app^2_h	w: 0
      app^1_h	w: 0
      app^1_filter2	w: 0
      true	w: 0
      filter2	w: 0
      0 	w: 0
      #app^2_h	w: 0
      #app^4_filter2	w: 0
      nil	w: 0
      app^1_e	w: x1 + 1
      app^2_d	w: 0
      #app	w: 0
      map	w: 0
      app^1_filter	w: 0
      e 	w: 0
      cons	w: 0
      filter	w: 0
      app^1_c	w: 0
      app^3_filter2	w: 0
      app^1_d	w: 0
      app^2_filter	w: 0
      g 	w: 0
      app^2_g	w: 0
      app^1_map	w: 0
      app^2_cons	w: 0
      app^2_map	w: 0
      #app^2_filter	w: 0
      app	w: 0
      app^1_g	w: 0
    USABLE RULES: { }
    Removed DPs: #12
Number of SCCs: 3, DPs: 12
  SCC { #15 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.