SRS Stand 10685 pair #381717483

details

property	value
status	complete
benchmark	aprove1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n105.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	25.8383769989 seconds
cpu usage	101.629289064
max memory	1.516929024E9

stage attributes

key	value
output-size	16235
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 p(0(x1)) -> 0(s(s(p(x1))))
 p(s(x1)) -> x1
 p(p(s(x1))) -> p(x1)
 f(s(x1)) -> g(s(x1))
 g(x1) -> i(s(half(x1)))
 i(x1) -> f(p(x1))
 half(0(x1)) -> 0(s(s(half(x1))))
 half(s(s(x1))) -> s(half(p(p(s(s(x1))))))
 0(x1) -> x1
 rd(0(x1)) -> 0(0(0(0(0(0(rd(x1)))))))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [rd](x0) = 8x0 + 8,
   
   [i](x0) = x0 + 1,
   
   [half](x0) = x0,
   
   [g](x0) = x0 + 1,
   
   [f](x0) = x0 + 1,
   
   [s](x0) = x0,
   
   [p](x0) = x0,
   
   [0](x0) = x0 + 1
  orientation:
   p(0(x1)) = x1 + 1 >= x1 + 1 = 0(s(s(p(x1))))
   
   p(s(x1)) = x1 >= x1 = x1
   
   p(p(s(x1))) = x1 >= x1 = p(x1)
   
   f(s(x1)) = x1 + 1 >= x1 + 1 = g(s(x1))
   
   g(x1) = x1 + 1 >= x1 + 1 = i(s(half(x1)))
   
   i(x1) = x1 + 1 >= x1 + 1 = f(p(x1))
   
   half(0(x1)) = x1 + 1 >= x1 + 1 = 0(s(s(half(x1))))
   
   half(s(s(x1))) = x1 >= x1 = s(half(p(p(s(s(x1))))))
   
   0(x1) = x1 + 1 >= x1 = x1
   
   rd(0(x1)) = 8x1 + 16 >= 8x1 + 14 = 0(0(0(0(0(0(rd(x1)))))))
  problem:
   p(0(x1)) -> 0(s(s(p(x1))))
   p(s(x1)) -> x1
   p(p(s(x1))) -> p(x1)
   f(s(x1)) -> g(s(x1))
   g(x1) -> i(s(half(x1)))
   i(x1) -> f(p(x1))
   half(0(x1)) -> 0(s(s(half(x1))))
   half(s(s(x1))) -> s(half(p(p(s(s(x1))))))
  String Reversal Processor:
   0(p(x1)) -> p(s(s(0(x1))))
   s(p(x1)) -> x1
   s(p(p(x1))) -> p(x1)
   s(f(x1)) -> s(g(x1))
   g(x1) -> half(s(i(x1)))
   i(x1) -> p(f(x1))
   0(half(x1)) -> half(s(s(0(x1))))
   s(s(half(x1))) -> s(s(p(p(half(s(x1))))))
   DP Processor:
    DPs:
     0#(p(x1)) -> 0#(x1)
     0#(p(x1)) -> s#(0(x1))
     0#(p(x1)) -> s#(s(0(x1)))
     s#(f(x1)) -> g#(x1)
     s#(f(x1)) -> s#(g(x1))
     g#(x1) -> i#(x1)
     g#(x1) -> s#(i(x1))
     0#(half(x1)) -> 0#(x1)
     0#(half(x1)) -> s#(0(x1))
     0#(half(x1)) -> s#(s(0(x1)))
     s#(s(half(x1))) -> s#(x1)
     s#(s(half(x1))) -> s#(p(p(half(s(x1)))))
     s#(s(half(x1))) -> s#(s(p(p(half(s(x1))))))
    TRS:
     0(p(x1)) -> p(s(s(0(x1))))
     s(p(x1)) -> x1
     s(p(p(x1))) -> p(x1)
     s(f(x1)) -> s(g(x1))
     g(x1) -> half(s(i(x1)))
     i(x1) -> p(f(x1))
     0(half(x1)) -> half(s(s(0(x1))))

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