SRS Standard pair #487085510

details

property	value
status	complete
benchmark	size-12-alpha-3-num-473.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	44.1535 seconds
cpu usage	172.9
user time	169.376
system time	3.52452
max virtual memory	1.1648316E7
max residence set size	102108.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 a(a(x1)) -> a(b(x1))
 a(c(x1)) -> b(x1)
 b(b(x1)) -> c(b(a(x1)))

Proof:
 String Reversal Processor:
  a(a(x1)) -> b(a(x1))
  c(a(x1)) -> b(x1)
  b(b(x1)) -> a(b(c(x1)))
  DP Processor:
   DPs:
    a#(a(x1)) -> b#(a(x1))
    c#(a(x1)) -> b#(x1)
    b#(b(x1)) -> c#(x1)
    b#(b(x1)) -> b#(c(x1))
    b#(b(x1)) -> a#(b(c(x1)))
   TRS:
    a(a(x1)) -> b(a(x1))
    c(a(x1)) -> b(x1)
    b(b(x1)) -> a(b(c(x1)))
   TDG Processor:
    DPs:
     a#(a(x1)) -> b#(a(x1))
     c#(a(x1)) -> b#(x1)
     b#(b(x1)) -> c#(x1)
     b#(b(x1)) -> b#(c(x1))
     b#(b(x1)) -> a#(b(c(x1)))
    TRS:
     a(a(x1)) -> b(a(x1))
     c(a(x1)) -> b(x1)
     b(b(x1)) -> a(b(c(x1)))
    graph:
     c#(a(x1)) -> b#(x1) -> b#(b(x1)) -> a#(b(c(x1)))
     c#(a(x1)) -> b#(x1) -> b#(b(x1)) -> b#(c(x1))
     c#(a(x1)) -> b#(x1) -> b#(b(x1)) -> c#(x1)
     b#(b(x1)) -> c#(x1) -> c#(a(x1)) -> b#(x1)
     b#(b(x1)) -> b#(c(x1)) -> b#(b(x1)) -> a#(b(c(x1)))
     b#(b(x1)) -> b#(c(x1)) -> b#(b(x1)) -> b#(c(x1))
     b#(b(x1)) -> b#(c(x1)) -> b#(b(x1)) -> c#(x1)
     b#(b(x1)) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(a(x1))
     a#(a(x1)) -> b#(a(x1)) -> b#(b(x1)) -> a#(b(c(x1)))
     a#(a(x1)) -> b#(a(x1)) -> b#(b(x1)) -> b#(c(x1))
     a#(a(x1)) -> b#(a(x1)) -> b#(b(x1)) -> c#(x1)
    Arctic Interpretation Processor:
     dimension: 1
     usable rules:
      a(a(x1)) -> b(a(x1))
      c(a(x1)) -> b(x1)
      b(b(x1)) -> a(b(c(x1)))
     interpretation:
      [b#](x0) = 8x0,
      
      [b](x0) = 2x0 + 8,
      
      [a#](x0) = 8x0 + 0,
      
      [c#](x0) = 9x0 + 1,
      
      [a](x0) = 2x0 + 8,
      
      [c](x0) = x0 + 6
     orientation:
      a#(a(x1)) = 10x1 + 16 >= 10x1 + 16 = b#(a(x1))
      
      c#(a(x1)) = 11x1 + 17 >= 8x1 = b#(x1)
      
      b#(b(x1)) = 10x1 + 16 >= 9x1 + 1 = c#(x1)
      
      b#(b(x1)) = 10x1 + 16 >= 8x1 + 14 = b#(c(x1))
      
      b#(b(x1)) = 10x1 + 16 >= 10x1 + 16 = a#(b(c(x1)))
      
      a(a(x1)) = 4x1 + 10 >= 4x1 + 10 = b(a(x1))
      
      c(a(x1)) = 2x1 + 8 >= 2x1 + 8 = b(x1)
      
      b(b(x1)) = 4x1 + 10 >= 4x1 + 10 = a(b(c(x1)))
     problem:
      DPs:
       a#(a(x1)) -> b#(a(x1))
       b#(b(x1)) -> a#(b(c(x1)))
      TRS:
       a(a(x1)) -> b(a(x1))
       c(a(x1)) -> b(x1)
       b(b(x1)) -> a(b(c(x1)))
     Restore Modifier:
      DPs:
       a#(a(x1)) -> b#(a(x1))
       b#(b(x1)) -> a#(b(c(x1)))
      TRS:
       a(a(x1)) -> b(a(x1))
       c(a(x1)) -> b(x1)
       b(b(x1)) -> a(b(c(x1)))
      EDG Processor:
       DPs:
        a#(a(x1)) -> b#(a(x1))
        b#(b(x1)) -> a#(b(c(x1)))

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