SRS Stand 10685 pair #381722977

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	n074.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	28.7744431496 seconds
cpu usage	113.633936631
max memory	1.486041088E9

stage attributes

key	value
output-size	7004
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

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

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

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