SRS Standard pair #516975872

details

property	value
status	complete
benchmark	beans5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n010.star.cs.uiowa.edu
space	Zantema_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	42.6257967949 seconds
cpu usage	168.92736461
max memory	1.18255616E9

stage attributes

key	value
output-size	5655
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 DP Processor:
  DPs:
   b#(a(a(x1))) -> c#(x1)
   b#(a(a(x1))) -> b#(c(x1))
   b#(a(a(x1))) -> a#(b(c(x1)))
   c#(a(x1)) -> c#(x1)
   c#(a(x1)) -> a#(c(x1))
   c#(b(x1)) -> a#(x1)
   c#(b(x1)) -> b#(a(x1))
   a#(a(x1)) -> b#(a(x1))
   a#(a(x1)) -> a#(b(a(x1)))
  TRS:
   b(a(a(x1))) -> a(b(c(x1)))
   c(a(x1)) -> a(c(x1))
   c(b(x1)) -> b(a(x1))
   a(a(x1)) -> a(b(a(x1)))
  TDG Processor:
   DPs:
    b#(a(a(x1))) -> c#(x1)
    b#(a(a(x1))) -> b#(c(x1))
    b#(a(a(x1))) -> a#(b(c(x1)))
    c#(a(x1)) -> c#(x1)
    c#(a(x1)) -> a#(c(x1))
    c#(b(x1)) -> a#(x1)
    c#(b(x1)) -> b#(a(x1))
    a#(a(x1)) -> b#(a(x1))
    a#(a(x1)) -> a#(b(a(x1)))
   TRS:
    b(a(a(x1))) -> a(b(c(x1)))
    c(a(x1)) -> a(c(x1))
    c(b(x1)) -> b(a(x1))
    a(a(x1)) -> a(b(a(x1)))
   graph:
    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> a#(b(a(x1)))
    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(a(x1))
    a#(a(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(c(x1)))
    a#(a(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(c(x1))
    a#(a(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> c#(x1)
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1)))
    c#(b(x1)) -> a#(x1) -> a#(a(x1)) -> b#(a(x1))
    c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> a#(b(c(x1)))
    c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> b#(c(x1))
    c#(b(x1)) -> b#(a(x1)) -> b#(a(a(x1))) -> c#(x1)
    c#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(a(x1)))
    c#(a(x1)) -> a#(c(x1)) -> a#(a(x1)) -> b#(a(x1))
    c#(a(x1)) -> c#(x1) -> c#(b(x1)) -> b#(a(x1))
    c#(a(x1)) -> c#(x1) -> c#(b(x1)) -> a#(x1)
    c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(x1))
    c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1)
    b#(a(a(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> a#(b(a(x1)))
    b#(a(a(x1))) -> a#(b(c(x1))) -> a#(a(x1)) -> b#(a(x1))
    b#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> b#(a(x1))
    b#(a(a(x1))) -> c#(x1) -> c#(b(x1)) -> a#(x1)
    b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> a#(c(x1))
    b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> c#(x1)
    b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> a#(b(c(x1)))
    b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> b#(c(x1))
    b#(a(a(x1))) -> b#(c(x1)) -> b#(a(a(x1))) -> c#(x1)
   Arctic Interpretation Processor:
    dimension: 1
    usable rules:
     b(a(a(x1))) -> a(b(c(x1)))
     c(a(x1)) -> a(c(x1))
     c(b(x1)) -> b(a(x1))
     a(a(x1)) -> a(b(a(x1)))
    interpretation:
     [c#](x0) = 14x0,
     
     [b](x0) = x0 + 0,
     
     [b#](x0) = x0 + 0,
     
     [a#](x0) = x0 + 0,
     
     [a](x0) = 14x0 + 2,
     
     [c](x0) = 14x0 + 1
    orientation:
     b#(a(a(x1))) = 28x1 + 16 >= 14x1 = c#(x1)
     
     b#(a(a(x1))) = 28x1 + 16 >= 14x1 + 1 = b#(c(x1))
     
     b#(a(a(x1))) = 28x1 + 16 >= 14x1 + 1 = a#(b(c(x1)))
     
     c#(a(x1)) = 28x1 + 16 >= 14x1 = c#(x1)

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job log

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