/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 poly ... failed.
Freezing 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 poly ... 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 }
Sum... succeeded.
  a(x1,x2)		w: (x1)
  b(x1,x2)		w: (x2 + x1)
  b❆1_0(x1)		w: (x1)
  b❆2_0(x1,x2)		w: (x1)
  c(x1)		w: (8856 + x1)
  0()		w: (0)
  #b❆2_0(x1,x2)		w: (0)
  #c(x1)		w: (1 + x1)
  #a(x1,x2)		w: (0)
  #b(x1,x2)		w: (0)
    USABLE RULES: { 1..5 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1,x2)		w: (88272 + x1_1, x2_1 + x1_1)
  b(x1,x2)		w: (26726 + x2_1 + x2_2 + x1_1, x1_1)
  b❆1_0(x1)		w: (x1_1 + x1_2, 0)
  b❆2_0(x1,x2)		w: (x1_1, x1_2)
  c(x1)		w: (1 + x1_2, 288459 + x1_1 + x1_2)
  0()		w: (23641, 37905)
  #b❆2_0(x1,x2)		w: (0, 0)
  #c(x1)		w: (x1_2, x1_1 + x1_2)
  #a(x1,x2)		w: (0, 0)
  #b(x1,x2)		w: (0, 0)
    USABLE RULES: { 1..5 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0