SRS Standard pair #487083206

details

property	value
status	complete
benchmark	x03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	Secret_07_SRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	43.2188 seconds
cpu usage	168.95
user time	165.347
system time	3.60227
max virtual memory	1.1829772E7
max residence set size	102016.0

stage attributes

key	value
starexec-result	YES

output

YES

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

Proof:
 String Reversal Processor:
  c(b(a(x1))) -> b(x1)
  b(b(c(x1))) -> a(x1)
  c(x1) -> b(x1)
  a(a(x1)) -> c(a(b(c(x1))))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b](x0) = x0 + 3,
    
    [c](x0) = x0 + 3,
    
    [a](x0) = x0 + 9
   orientation:
    c(b(a(x1))) = x1 + 15 >= x1 + 3 = b(x1)
    
    b(b(c(x1))) = x1 + 9 >= x1 + 9 = a(x1)
    
    c(x1) = x1 + 3 >= x1 + 3 = b(x1)
    
    a(a(x1)) = x1 + 18 >= x1 + 18 = c(a(b(c(x1))))
   problem:
    b(b(c(x1))) -> a(x1)
    c(x1) -> b(x1)
    a(a(x1)) -> c(a(b(c(x1))))
   String Reversal Processor:
    c(b(b(x1))) -> a(x1)
    c(x1) -> b(x1)
    a(a(x1)) -> c(b(a(c(x1))))
    DP Processor:
     DPs:
      c#(b(b(x1))) -> a#(x1)
      a#(a(x1)) -> c#(x1)
      a#(a(x1)) -> a#(c(x1))
      a#(a(x1)) -> c#(b(a(c(x1))))
     TRS:
      c(b(b(x1))) -> a(x1)
      c(x1) -> b(x1)
      a(a(x1)) -> c(b(a(c(x1))))
     TDG Processor:
      DPs:
       c#(b(b(x1))) -> a#(x1)
       a#(a(x1)) -> c#(x1)
       a#(a(x1)) -> a#(c(x1))
       a#(a(x1)) -> c#(b(a(c(x1))))
      TRS:
       c(b(b(x1))) -> a(x1)
       c(x1) -> b(x1)
       a(a(x1)) -> c(b(a(c(x1))))
      graph:
       a#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(b(a(c(x1))))
       a#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(c(x1))
       a#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(x1)
       a#(a(x1)) -> c#(b(a(c(x1)))) -> c#(b(b(x1))) -> a#(x1)
       a#(a(x1)) -> c#(x1) -> c#(b(b(x1))) -> a#(x1)
       c#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> c#(b(a(c(x1))))
       c#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> a#(c(x1))
       c#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> c#(x1)
      Arctic Interpretation Processor:
       dimension: 1
       usable rules:
        c(b(b(x1))) -> a(x1)
        c(x1) -> b(x1)
        a(a(x1)) -> c(b(a(c(x1))))
       interpretation:
        [a#](x0) = 2x0,
        
        [b](x0) = 1x0,
        
        [c#](x0) = x0,
        
        [c](x0) = 1x0,
        
        [a](x0) = 3x0
       orientation:
        c#(b(b(x1))) = 2x1 >= 2x1 = a#(x1)
        
        a#(a(x1)) = 5x1 >= x1 = c#(x1)
        
        a#(a(x1)) = 5x1 >= 3x1 = a#(c(x1))
        
        a#(a(x1)) = 5x1 >= 5x1 = c#(b(a(c(x1))))
        
        c(b(b(x1))) = 3x1 >= 3x1 = a(x1)
        
        c(x1) = 1x1 >= 1x1 = b(x1)
        
        a(a(x1)) = 6x1 >= 6x1 = c(b(a(c(x1))))
       problem:
        DPs:
         c#(b(b(x1))) -> a#(x1)

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