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SRS Standard pair #487090874
details
property
value
status
complete
benchmark
aprove03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
13.5949 seconds
cpu usage
51.9813
user time
48.4004
system time
3.58088
max virtual memory
6405152.0
max residence set size
111416.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: thrice(0(x1)) -> p(s(p(p(p(s(s(s(0(p(s(p(s(x1))))))))))))) thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1)))))))))))))))))) half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1)))))))))))) half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))) half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))) sixtimes(0(x1)) -> p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1)))))))))))))) sixtimes(s(x1)) -> p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1))))))))))))))))))))))))) p(p(s(x1))) -> p(x1) p(s(x1)) -> x1 p(0(x1)) -> 0(s(s(s(s(x1))))) 0(x1) -> x1 Proof: Matrix Interpretation Processor: dim=1 interpretation: [sixtimes](x0) = x0, [thrice](x0) = x0, [p](x0) = x0, [half](x0) = x0, [0](x0) = 4x0 + 2, [s](x0) = x0 orientation: thrice(0(x1)) = 4x1 + 2 >= 4x1 + 2 = p(s(p(p(p(s(s(s(0(p(s(p(s(x1))))))))))))) thrice(s(x1)) = x1 >= x1 = p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1)))))))))))))))))) half(0(x1)) = 4x1 + 2 >= 4x1 + 2 = p(p(s(s(p(s(0(p(s(s(s(s(x1)))))))))))) half(s(x1)) = x1 >= x1 = p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))) half(s(s(x1))) = x1 >= x1 = p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))) sixtimes(0(x1)) = 4x1 + 2 >= 4x1 + 2 = p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1)))))))))))))) sixtimes(s(x1)) = x1 >= x1 = p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1))))))))))))))))))))))))) p(p(s(x1))) = x1 >= x1 = p(x1) p(s(x1)) = x1 >= x1 = x1 p(0(x1)) = 4x1 + 2 >= 4x1 + 2 = 0(s(s(s(s(x1))))) 0(x1) = 4x1 + 2 >= x1 = x1 problem: thrice(0(x1)) -> p(s(p(p(p(s(s(s(0(p(s(p(s(x1))))))))))))) thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1)))))))))))))))))) half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1)))))))))))) half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))) half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))) sixtimes(0(x1)) -> p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1)))))))))))))) sixtimes(s(x1)) -> p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1))))))))))))))))))))))))) p(p(s(x1))) -> p(x1) p(s(x1)) -> x1 p(0(x1)) -> 0(s(s(s(s(x1))))) Matrix Interpretation Processor: dim=1 interpretation: [sixtimes](x0) = 2x0, [thrice](x0) = 4x0, [p](x0) = x0, [half](x0) = 2x0, [0](x0) = 6x0 + 4, [s](x0) = x0 orientation: thrice(0(x1)) = 24x1 + 16 >= 6x1 + 4 = p(s(p(p(p(s(s(s(0(p(s(p(s(x1))))))))))))) thrice(s(x1)) = 4x1 >= 4x1 = p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1)))))))))))))))))) half(0(x1)) = 12x1 + 8 >= 6x1 + 4 = p(p(s(s(p(s(0(p(s(s(s(s(x1)))))))))))) half(s(x1)) = 2x1 >= 2x1 = p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))) half(s(s(x1))) = 2x1 >= 2x1 = p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))) sixtimes(0(x1)) = 12x1 + 8 >= 6x1 + 4 = p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1)))))))))))))) sixtimes(s(x1)) = 2x1 >= 2x1 = p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1))))))))))))))))))))))))) p(p(s(x1))) = x1 >= x1 = p(x1) p(s(x1)) = x1 >= x1 = x1 p(0(x1)) = 6x1 + 4 >= 6x1 + 4 = 0(s(s(s(s(x1))))) problem:
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