SRS Standard pair #487085690

details

property	value
status	complete
benchmark	01.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	11.3769 seconds
cpu usage	42.7994
user time	41.583
system time	1.21636
max virtual memory	5907468.0
max residence set size	89260.0

stage attributes

key	value
starexec-result	YES

output

YES

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

Proof:
 DP Processor:
  DPs:
   b#(b(b(x1))) -> a#(x1)
   a#(a(x1)) -> b#(a(x1))
   a#(a(x1)) -> a#(b(a(x1)))
   a#(a(a(x1))) -> b#(a(a(x1)))
  TRS:
   b(b(b(x1))) -> a(x1)
   a(a(x1)) -> a(b(a(x1)))
   a(a(a(x1))) -> b(a(a(x1)))
  TDG Processor:
   DPs:
    b#(b(b(x1))) -> a#(x1)
    a#(a(x1)) -> b#(a(x1))
    a#(a(x1)) -> a#(b(a(x1)))
    a#(a(a(x1))) -> b#(a(a(x1)))
   TRS:
    b(b(b(x1))) -> a(x1)
    a(a(x1)) -> a(b(a(x1)))
    a(a(a(x1))) -> b(a(a(x1)))
   graph:
    a#(a(a(x1))) -> b#(a(a(x1))) -> b#(b(b(x1))) -> a#(x1)
    a#(a(x1)) -> a#(b(a(x1))) -> a#(a(a(x1))) -> b#(a(a(x1)))
    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#(b(b(x1))) -> a#(x1)
    b#(b(b(x1))) -> a#(x1) -> a#(a(a(x1))) -> b#(a(a(x1)))
    b#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> a#(b(a(x1)))
    b#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(a(x1))
   Root-Labeling Processor:
    DPs:
     b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1))
     b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1))
     b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1))
     a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
     a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
     a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
     a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
     a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
     a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
     a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
     a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
     a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
    TRS:
     f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1))
     f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1))
     f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1))
     b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1))
     b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1))
     b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1))
     a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1))
     a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1))
     a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1))
     a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
     a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
     a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))
     f4(a)(a(a)(a(a)(a(f4)(x1)))) -> f4(b)(b(a)(a(a)(a(f4)(x1))))
     f4(a)(a(a)(a(a)(a(b)(x1)))) -> f4(b)(b(a)(a(a)(a(b)(x1))))
     f4(a)(a(a)(a(a)(a(a)(x1)))) -> f4(b)(b(a)(a(a)(a(a)(x1))))
     b(a)(a(a)(a(a)(a(f4)(x1)))) -> b(b)(b(a)(a(a)(a(f4)(x1))))
     b(a)(a(a)(a(a)(a(b)(x1)))) -> b(b)(b(a)(a(a)(a(b)(x1))))
     b(a)(a(a)(a(a)(a(a)(x1)))) -> b(b)(b(a)(a(a)(a(a)(x1))))
     a(a)(a(a)(a(a)(a(f4)(x1)))) -> a(b)(b(a)(a(a)(a(f4)(x1))))
     a(a)(a(a)(a(a)(a(b)(x1)))) -> a(b)(b(a)(a(a)(a(b)(x1))))
     a(a)(a(a)(a(a)(a(a)(x1)))) -> a(b)(b(a)(a(a)(a(a)(x1))))
    TDG Processor:
     DPs:
      b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1))
      b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) -> a{#,(f4)}(f4(b)(x1))
      b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) -> a{#,(f4)}(f4(a)(x1))
      a{#,(f4)}(f4(a)(a(f4)(x1))) -> b{#,(f4)}(f4(a)(a(f4)(x1)))
      a{#,(f4)}(f4(a)(a(b)(x1))) -> b{#,(f4)}(f4(a)(a(b)(x1)))
      a{#,(f4)}(f4(a)(a(a)(x1))) -> b{#,(f4)}(f4(a)(a(a)(x1)))
      a{#,(f4)}(f4(a)(a(f4)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(f4)(x1))))
      a{#,(f4)}(f4(a)(a(b)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(b)(x1))))
      a{#,(f4)}(f4(a)(a(a)(x1))) -> a{#,(f4)}(f4(b)(b(a)(a(a)(x1))))
      a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(a)(a(a)(a(f4)(x1))))
      a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) -> b{#,(f4)}(f4(a)(a(a)(a(b)(x1))))
      a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(a(a)(a(a)(x1))))
     TRS:
      f4(b)(b(b)(b(b)(b(f4)(x1)))) -> f4(a)(a(f4)(x1))
      f4(b)(b(b)(b(b)(b(b)(x1)))) -> f4(a)(a(b)(x1))
      f4(b)(b(b)(b(b)(b(a)(x1)))) -> f4(a)(a(a)(x1))
      b(b)(b(b)(b(b)(b(f4)(x1)))) -> b(a)(a(f4)(x1))
      b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(x1))
      b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(a)(x1))
      a(b)(b(b)(b(b)(b(f4)(x1)))) -> a(a)(a(f4)(x1))
      a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(x1))
      a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(a)(x1))
      a(a)(a(f4)(x1)) -> a(b)(b(a)(a(f4)(x1)))
      a(a)(a(b)(x1)) -> a(b)(b(a)(a(b)(x1)))
      a(a)(a(a)(x1)) -> a(b)(b(a)(a(a)(x1)))

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