/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: b(b(0(),y),x) -> y
    2: c(c(c(y))) -> c(c(a(a(c(b(0(),y)),0()),0())))
    3: a(y,0()) -> b(y,0())
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying b
1: b^2_0(y,x) -> y
2: c(c(c(y))) -> c(c(a(a(c(b^1_0(y)),0()),0())))
3: a(y,0()) -> b(y,0())
4: b(0(),_1) ->= b^1_0(_1)
5: b(b^1_0(_1),_2) ->= b^2_0(_1,_2)
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #c(c(c(y))) -> #c(c(a(a(c(b^1_0(y)),0()),0())))
   #2: #c(c(c(y))) -> #c(a(a(c(b^1_0(y)),0()),0()))
   #3: #c(c(c(y))) -> #a(a(c(b^1_0(y)),0()),0())
   #4: #c(c(c(y))) -> #a(c(b^1_0(y)),0())
   #5: #c(c(c(y))) -> #c(b^1_0(y))
   #6: #b(b^1_0(_1),_2) ->? #b^2_0(_1,_2)
   #7: #a(y,0()) -> #b(y,0())
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      a 	w: x1
      b 	w: x1 + x2
      b^1_0	w: x1
      c 	w: x1 + 1
      0 	w: 0
      #c 	w: x1
      b^2_0	w: x1
      #b^2_0	w: 0
      #a 	w: 0
      #b 	w: 0
    USABLE RULES: { 1..5 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [0,1;0,1] * x1 + [1,1;0,0] * x2 + [0;2]
      b 	w: [0,1;0,1] * x1 + [1,0;1,1] * x2
      b^1_0	w: [0,0;1,1] * x1 + [1;1]
      c 	w: [1,1;1,1] * x1 + [14;1]
      0 	w: [1;1]
      #c 	w: [1,1;1,1] * x1
      b^2_0	w: x1
      #b^2_0	w: [0;0]
      #a 	w: [0;0]
      #b 	w: [0;0]
    USABLE RULES: { 1..5 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0