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SRS Standard pair #487091006
details
property
value
status
complete
benchmark
aprove06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
10.1848 seconds
cpu usage
38.5656
user time
35.5599
system time
3.00566
max virtual memory
6273612.0
max residence set size
114848.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: tower(0(x1)) -> s(0(p(s(p(s(x1)))))) tower(s(x1)) -> p(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1)))))))))))))) twoto(0(x1)) -> s(0(x1)) twoto(s(x1)) -> p(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))))))))) twice(0(x1)) -> 0(x1) twice(s(x1)) -> p(p(p(s(s(s(s(s(twice(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(s(s(s(s(x1))))))))) Proof: Matrix Interpretation Processor: dim=1 interpretation: [twoto](x0) = x0, [tower](x0) = x0 + 1, [p](x0) = x0, [twice](x0) = x0, [0](x0) = x0, [s](x0) = x0 orientation: tower(0(x1)) = x1 + 1 >= x1 = s(0(p(s(p(s(x1)))))) tower(s(x1)) = x1 + 1 >= x1 + 1 = p(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1)))))))))))))) twoto(0(x1)) = x1 >= x1 = s(0(x1)) twoto(s(x1)) = x1 >= x1 = p(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))))))))) twice(0(x1)) = x1 >= x1 = 0(x1) twice(s(x1)) = x1 >= x1 = p(p(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1))))))))))))))) p(p(s(x1))) = x1 >= x1 = p(x1) p(s(x1)) = x1 >= x1 = x1 p(0(x1)) = x1 >= x1 = 0(s(s(s(s(s(s(s(s(x1))))))))) problem: tower(s(x1)) -> p(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1)))))))))))))) twoto(0(x1)) -> s(0(x1)) twoto(s(x1)) -> p(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))))))))) twice(0(x1)) -> 0(x1) twice(s(x1)) -> p(p(p(s(s(s(s(s(twice(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(s(s(s(s(x1))))))))) String Reversal Processor: s(tower(x1)) -> s(p(s(p(tower(s(p(s(p(twoto(s(p(s(p(x1)))))))))))))) 0(twoto(x1)) -> 0(s(x1)) s(twoto(x1)) -> s(p(s(p(twoto(s(s(s(p(p(p(s(p(s(p(twice(s(p(s(s(p(s(s(p(s(s(p(p(p(s(p(p(x1)))))))))))))))))))))))))))))))) 0(twice(x1)) -> 0(x1) s(twice(x1)) -> s(s(s(p(p(p(twice(s(s(s(s(s(p(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(0(x1))))))))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [twoto](x0) = [0 1 1]x0 + [1] [0 0 0] [0], [1 0 0] [tower](x0) = [0 0 0]x0 [0 0 1] , [p](x0) = x0 , [1 0 0] [twice](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [0](x0) = [0 0 0]x0 [0 0 0] , [s](x0) = x0 orientation: [1 0 0] [1 0 0] s(tower(x1)) = [0 0 0]x1 >= [0 0 0]x1 = s(p(s(p(tower(s(p(s(p(twoto(s(p(s(p(x1)))))))))))))) [0 0 1] [0 0 0] [1 1 1] [1] [1 1 0] 0(twoto(x1)) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 0(s(x1))
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