SRS Standard pair #487085090

details

property	value
status	complete
benchmark	size-12-alpha-3-num-435.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	46.3206 seconds
cpu usage	182.396
user time	178.481
system time	3.91493
max virtual memory	1.1836932E7
max residence set size	101932.0

stage attributes

key	value
starexec-result	YES

output

YES

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

Proof:
 DP Processor:
  DPs:
   a#(x1) -> c#(x1)
   c#(a(b(x1))) -> c#(x1)
   c#(a(b(x1))) -> a#(c(x1))
   c#(a(b(x1))) -> a#(a(c(x1)))
  TRS:
   a(x1) -> b(b(c(x1)))
   c(a(b(x1))) -> a(a(c(x1)))
   c(b(x1)) -> x1
  TDG Processor:
   DPs:
    a#(x1) -> c#(x1)
    c#(a(b(x1))) -> c#(x1)
    c#(a(b(x1))) -> a#(c(x1))
    c#(a(b(x1))) -> a#(a(c(x1)))
   TRS:
    a(x1) -> b(b(c(x1)))
    c(a(b(x1))) -> a(a(c(x1)))
    c(b(x1)) -> x1
   graph:
    c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(x1)))
    c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(c(x1))
    c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1)
    c#(a(b(x1))) -> a#(c(x1)) -> a#(x1) -> c#(x1)
    c#(a(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> c#(x1)
    a#(x1) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(x1)))
    a#(x1) -> c#(x1) -> c#(a(b(x1))) -> a#(c(x1))
    a#(x1) -> c#(x1) -> c#(a(b(x1))) -> c#(x1)
   Arctic Interpretation Processor:
    dimension: 2
    usable rules:
     a(x1) -> b(b(c(x1)))
     c(a(b(x1))) -> a(a(c(x1)))
     c(b(x1)) -> x1
    interpretation:
     [c#](x0) = [0 0]x0,
     
               [0 0]  
     [c](x0) = [0 0]x0,
     
     [a#](x0) = [0 0]x0,
     
               [0 1]  
     [a](x0) = [0 0]x0,
     
               [0 0]  
     [b](x0) = [0 0]x0
    orientation:
     a#(x1) = [0 0]x1 >= [0 0]x1 = c#(x1)
     
     c#(a(b(x1))) = [1 1]x1 >= [0 0]x1 = c#(x1)
     
     c#(a(b(x1))) = [1 1]x1 >= [0 0]x1 = a#(c(x1))
     
     c#(a(b(x1))) = [1 1]x1 >= [1 1]x1 = a#(a(c(x1)))
     
             [0 1]      [0 0]                
     a(x1) = [0 0]x1 >= [0 0]x1 = b(b(c(x1)))
     
                   [1 1]      [1 1]                
     c(a(b(x1))) = [1 1]x1 >= [1 1]x1 = a(a(c(x1)))
     
                [0 0]             
     c(b(x1)) = [0 0]x1 >= x1 = x1
    problem:
     DPs:
      a#(x1) -> c#(x1)
      c#(a(b(x1))) -> a#(a(c(x1)))
     TRS:
      a(x1) -> b(b(c(x1)))
      c(a(b(x1))) -> a(a(c(x1)))
      c(b(x1)) -> x1
    Restore Modifier:
     DPs:
      a#(x1) -> c#(x1)
      c#(a(b(x1))) -> a#(a(c(x1)))
     TRS:
      a(x1) -> b(b(c(x1)))
      c(a(b(x1))) -> a(a(c(x1)))
      c(b(x1)) -> x1
     EDG Processor:
      DPs:
       a#(x1) -> c#(x1)
       c#(a(b(x1))) -> a#(a(c(x1)))
      TRS:
       a(x1) -> b(b(c(x1)))
       c(a(b(x1))) -> a(a(c(x1)))
       c(b(x1)) -> x1
      graph:
       c#(a(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> c#(x1)
       a#(x1) -> c#(x1) -> c#(a(b(x1))) -> a#(a(c(x1)))

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