SRS Relative pair #487081940

details

property	value
status	complete
benchmark	zr02new.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	6.11137 seconds
cpu usage	23.0191
user time	19.0707
system time	3.94835
max virtual memory	7322380.0
max residence set size	78260.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 strict:
  p(s(x1)) -> s(x1)
  n(s(x1)) -> s(x1)
  o(s(x1)) -> s(x1)
  o(n(x1)) -> n(o(x1))
  o(m(x1)) -> n(o(x1))
  n(o(p(x1))) -> o(n(x1))
 weak:
  t(x1) -> t(c(n(x1)))
  p(n(x1)) -> m(p(x1))
  p(m(x1)) -> m(p(x1))
  n(p(x1)) -> p(n(x1))
  c(p(x1)) -> p(c(x1))
  c(m(x1)) -> m(c(x1))
  c(n(x1)) -> n(c(x1))
  c(o(x1)) -> o(c(x1))
  c(o(x1)) -> o(x1)

Proof:
 Arctic Interpretation Processor:
  dimension: 1
  interpretation:
   [m](x0) = x0,
   
   [p](x0) = x0,
   
   [o](x0) = 2x0,
   
   [t](x0) = x0,
   
   [s](x0) = x0,
   
   [c](x0) = x0,
   
   [n](x0) = x0
  orientation:
   p(s(x1)) = x1 >= x1 = s(x1)
   
   n(s(x1)) = x1 >= x1 = s(x1)
   
   o(s(x1)) = 2x1 >= x1 = s(x1)
   
   o(n(x1)) = 2x1 >= 2x1 = n(o(x1))
   
   o(m(x1)) = 2x1 >= 2x1 = n(o(x1))
   
   n(o(p(x1))) = 2x1 >= 2x1 = o(n(x1))
   
   t(x1) = x1 >= x1 = t(c(n(x1)))
   
   p(n(x1)) = x1 >= x1 = m(p(x1))
   
   p(m(x1)) = x1 >= x1 = m(p(x1))
   
   n(p(x1)) = x1 >= x1 = p(n(x1))
   
   c(p(x1)) = x1 >= x1 = p(c(x1))
   
   c(m(x1)) = x1 >= x1 = m(c(x1))
   
   c(n(x1)) = x1 >= x1 = n(c(x1))
   
   c(o(x1)) = 2x1 >= 2x1 = o(c(x1))
   
   c(o(x1)) = 2x1 >= 2x1 = o(x1)
  problem:
   strict:
    p(s(x1)) -> s(x1)
    n(s(x1)) -> s(x1)
    o(n(x1)) -> n(o(x1))
    o(m(x1)) -> n(o(x1))
    n(o(p(x1))) -> o(n(x1))
   weak:
    t(x1) -> t(c(n(x1)))
    p(n(x1)) -> m(p(x1))
    p(m(x1)) -> m(p(x1))
    n(p(x1)) -> p(n(x1))
    c(p(x1)) -> p(c(x1))
    c(m(x1)) -> m(c(x1))
    c(n(x1)) -> n(c(x1))
    c(o(x1)) -> o(c(x1))
    c(o(x1)) -> o(x1)
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [m](x0) = x0,
    
    [p](x0) = 7x0,
    
    [o](x0) = x0,
    
    [t](x0) = x0,
    
    [s](x0) = x0,
    
    [c](x0) = x0,

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