/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
Input TRS:
    1: app(app(app(comp(),f),g),x) -> app(f,app(g,x))
    2: app(twice(),f) -> app(app(comp(),f),f)
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^3_comp(f,g,x) -> app(f,app(g,x))
2: app^1_twice(f) -> app^2_comp(f,f)
3: app(twice(),_1) ->= app^1_twice(_1)
4: app(comp(),_1) ->= app^1_comp(_1)
5: app(app^1_comp(_1),_2) ->= app^2_comp(_1,_2)
6: app(app^2_comp(_1,_2),_3) ->= app^3_comp(_1,_2,_3)
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app(app^2_comp(_1,_2),_3) ->? #app^3_comp(_1,_2,_3)
   #2: #app(twice(),_1) ->? #app^1_twice(_1)
   #3: #app^3_comp(f,g,x) -> #app(f,app(g,x))
   #4: #app^3_comp(f,g,x) -> #app(g,x)
Number of SCCs: 1, DPs: 3
  SCC { #1 #3 #4 }
POLO(Sum)... succeeded.
      app^1_twice	w: x1 + 2
      app^2_comp	w: x1 + x2 + 3
      twice	w: 1
      app^1_comp	w: 1
      #app	w: x1
      app^3_comp	w: 1
      #app^3_comp	w: x1 + x2 + 1
      #app^1_twice	w: 0
      comp	w: 1
      app	w: 1
    USABLE RULES: { }
    Removed DPs: #1 #3 #4
Number of SCCs: 0, DPs: 0