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SRS Standard pair #487091486
details
property
value
status
complete
benchmark
z074.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n184.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
4.03436 seconds
cpu usage
14.3913
user time
12.1467
system time
2.24456
max virtual memory
6055788.0
max residence set size
72564.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: r(r(x1)) -> s(r(x1)) r(s(x1)) -> s(r(x1)) r(n(x1)) -> s(r(x1)) r(b(x1)) -> u(s(b(x1))) r(u(x1)) -> u(r(x1)) s(u(x1)) -> u(s(x1)) n(u(x1)) -> u(n(x1)) t(r(u(x1))) -> t(c(r(x1))) t(s(u(x1))) -> t(c(r(x1))) t(n(u(x1))) -> t(c(r(x1))) c(u(x1)) -> u(c(x1)) c(s(x1)) -> s(c(x1)) c(r(x1)) -> r(c(x1)) c(n(x1)) -> n(c(x1)) c(n(x1)) -> n(x1) Proof: Matrix Interpretation Processor: dim=1 interpretation: [u](x0) = 4x0 + 1, [s](x0) = x0, [b](x0) = 4x0 + 4, [t](x0) = x0 + 4, [r](x0) = 4x0 + 1, [c](x0) = x0, [n](x0) = 4x0 orientation: r(r(x1)) = 16x1 + 5 >= 4x1 + 1 = s(r(x1)) r(s(x1)) = 4x1 + 1 >= 4x1 + 1 = s(r(x1)) r(n(x1)) = 16x1 + 1 >= 4x1 + 1 = s(r(x1)) r(b(x1)) = 16x1 + 17 >= 16x1 + 17 = u(s(b(x1))) r(u(x1)) = 16x1 + 5 >= 16x1 + 5 = u(r(x1)) s(u(x1)) = 4x1 + 1 >= 4x1 + 1 = u(s(x1)) n(u(x1)) = 16x1 + 4 >= 16x1 + 1 = u(n(x1)) t(r(u(x1))) = 16x1 + 9 >= 4x1 + 5 = t(c(r(x1))) t(s(u(x1))) = 4x1 + 5 >= 4x1 + 5 = t(c(r(x1))) t(n(u(x1))) = 16x1 + 8 >= 4x1 + 5 = t(c(r(x1))) c(u(x1)) = 4x1 + 1 >= 4x1 + 1 = u(c(x1)) c(s(x1)) = x1 >= x1 = s(c(x1)) c(r(x1)) = 4x1 + 1 >= 4x1 + 1 = r(c(x1)) c(n(x1)) = 4x1 >= 4x1 = n(c(x1)) c(n(x1)) = 4x1 >= 4x1 = n(x1) problem: r(s(x1)) -> s(r(x1)) r(n(x1)) -> s(r(x1)) r(b(x1)) -> u(s(b(x1))) r(u(x1)) -> u(r(x1)) s(u(x1)) -> u(s(x1)) t(s(u(x1))) -> t(c(r(x1))) c(u(x1)) -> u(c(x1)) c(s(x1)) -> s(c(x1)) c(r(x1)) -> r(c(x1)) c(n(x1)) -> n(c(x1)) c(n(x1)) -> n(x1) Matrix Interpretation Processor: dim=1 interpretation: [u](x0) = 2x0 + 10, [s](x0) = x0, [b](x0) = 8x0 + 3, [t](x0) = x0 + 5, [r](x0) = 2x0 + 10, [c](x0) = x0, [n](x0) = x0 + 2 orientation: r(s(x1)) = 2x1 + 10 >= 2x1 + 10 = s(r(x1)) r(n(x1)) = 2x1 + 14 >= 2x1 + 10 = s(r(x1)) r(b(x1)) = 16x1 + 16 >= 16x1 + 16 = u(s(b(x1)))
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