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


--------------------------------------------------------------------------------


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 poly ... failed.
Freezing 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 poly ... 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 }
Sum... succeeded.
  twice()		w: (1)
  app❆2_comp(x1,x2)		w: (4879 + x2 + x1)
  app❆1_comp(x1)		w: (2440)
  #app(x1,x2)		w: (x1)
  #app❆3_comp(x1,x2,x3)		w: (1 + x2 + x1)
  #app❆1_twice(x1)		w: (0)
  app❆3_comp(x1,x2,x3)		w: (7318)
  app❆1_twice(x1)		w: (2440 + x1)
  comp()		w: (1)
  app(x1,x2)		w: (2438 + x1)
    USABLE RULES: { }
    Removed DPs: #1 #3 #4
Number of SCCs: 0, DPs: 0