/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: ap(ap(f(),x),x) -> ap(ap(x,ap(f(),x)),ap(ap(cons(),x),nil()))
    2: ap(ap(ap(foldr(),g),h),nil()) -> h
    3: ap(ap(ap(foldr(),g),h),ap(ap(cons(),x),xs)) -> ap(ap(g,x),ap(ap(ap(foldr(),g),h),xs))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ap
1: ap^2_f(x,x) -> ap(ap(x,ap^1_f(x)),ap^2_cons(x,nil()))
2: ap^3_foldr(g,h,nil()) -> h
3: ap^3_foldr(g,h,ap^2_cons(x,xs)) -> ap(ap(g,x),ap^3_foldr(g,h,xs))
4: ap(cons(),_1) ->= ap^1_cons(_1)
5: ap(ap^1_cons(_1),_2) ->= ap^2_cons(_1,_2)
6: ap(foldr(),_1) ->= ap^1_foldr(_1)
7: ap(ap^1_foldr(_1),_2) ->= ap^2_foldr(_1,_2)
8: ap(ap^2_foldr(_1,_2),_3) ->= ap^3_foldr(_1,_2,_3)
9: ap(f(),_1) ->= ap^1_f(_1)
10: ap(ap^1_f(_1),_2) ->= ap^2_f(_1,_2)
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #ap(ap^1_f(_1),_2) ->? #ap^2_f(_1,_2)
   #2: #ap^3_foldr(g,h,ap^2_cons(x,xs)) -> #ap(ap(g,x),ap^3_foldr(g,h,xs))
   #3: #ap^3_foldr(g,h,ap^2_cons(x,xs)) -> #ap(g,x)
   #4: #ap^3_foldr(g,h,ap^2_cons(x,xs)) -> #ap^3_foldr(g,h,xs)
   #5: #ap^2_f(x,x) -> #ap(ap(x,ap^1_f(x)),ap^2_cons(x,nil()))
   #6: #ap^2_f(x,x) -> #ap(x,ap^1_f(x))
   #7: #ap(ap^2_foldr(_1,_2),_3) ->? #ap^3_foldr(_1,_2,_3)
Number of SCCs: 1, DPs: 7
  SCC { #1..7 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.