SRS Standard pair #487089296

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	n023.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	45.6918 seconds
cpu usage	179.586
user time	174.335
system time	5.25149
max virtual memory	1.1526472E7
max residence set size	145192.0

stage attributes

key	value
starexec-result	YES

output

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:
   [g](x0) = x0,
   
   [p](x0) = x0,
   
   [f](x0) = x0,
   
   [half](x0) = x0,
   
   [0](x0) = x0 + 3,
   
   [rd](x0) = 6x0,
   
   [i](x0) = x0,
   
   [s](x0) = x0
  orientation:
   p(0(x1)) = x1 + 3 >= x1 + 3 = 0(s(s(p(x1))))
   
   p(s(x1)) = x1 >= x1 = x1
   
   p(p(s(x1))) = x1 >= x1 = p(x1)
   
   f(s(x1)) = x1 >= x1 = g(s(x1))
   
   g(x1) = x1 >= x1 = i(s(half(x1)))
   
   i(x1) = x1 >= x1 = f(p(x1))
   
   half(0(x1)) = x1 + 3 >= x1 + 3 = 0(s(s(half(x1))))
   
   half(s(s(x1))) = x1 >= x1 = s(half(p(p(s(s(x1))))))
   
   0(x1) = x1 + 3 >= x1 = x1
   
   rd(0(x1)) = 6x1 + 18 >= 6x1 + 18 = 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))))))
   rd(0(x1)) -> 0(0(0(0(0(0(rd(x1)))))))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [g](x0) = 8x0,
    
    [p](x0) = x0,
    
    [f](x0) = 8x0,
    
    [half](x0) = x0,
    
    [0](x0) = x0 + 1,
    
    [rd](x0) = 7x0 + 1,
    
    [i](x0) = 8x0,
    
    [s](x0) = x0
   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)) = 8x1 >= 8x1 = g(s(x1))
    
    g(x1) = 8x1 >= 8x1 = i(s(half(x1)))
    
    i(x1) = 8x1 >= 8x1 = 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))))))
    
    rd(0(x1)) = 7x1 + 8 >= 7x1 + 7 = 0(0(0(0(0(0(rd(x1)))))))
   problem:

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