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SRS Standard pair #487091558
details
property
value
status
complete
benchmark
z119.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.87053 seconds
cpu usage
6.29728
user time
4.96271
system time
1.33457
max virtual memory
5917256.0
max residence set size
66332.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(x1)) -> b(d(x1)) a(c(x1)) -> d(d(d(x1))) b(d(x1)) -> a(c(b(x1))) c(f(x1)) -> d(d(c(x1))) d(d(x1)) -> f(x1) f(f(x1)) -> a(x1) Proof: Matrix Interpretation Processor: dim=1 interpretation: [f](x0) = x0 + 2, [a](x0) = x0 + 3, [c](x0) = x0, [b](x0) = 3x0 + 8, [d](x0) = x0 + 1 orientation: a(b(x1)) = 3x1 + 11 >= 3x1 + 11 = b(d(x1)) a(c(x1)) = x1 + 3 >= x1 + 3 = d(d(d(x1))) b(d(x1)) = 3x1 + 11 >= 3x1 + 11 = a(c(b(x1))) c(f(x1)) = x1 + 2 >= x1 + 2 = d(d(c(x1))) d(d(x1)) = x1 + 2 >= x1 + 2 = f(x1) f(f(x1)) = x1 + 4 >= x1 + 3 = a(x1) problem: a(b(x1)) -> b(d(x1)) a(c(x1)) -> d(d(d(x1))) b(d(x1)) -> a(c(b(x1))) c(f(x1)) -> d(d(c(x1))) d(d(x1)) -> f(x1) String Reversal Processor: b(a(x1)) -> d(b(x1)) c(a(x1)) -> d(d(d(x1))) d(b(x1)) -> b(c(a(x1))) f(c(x1)) -> c(d(d(x1))) d(d(x1)) -> f(x1) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [a](x0) = [0 0 1]x0 + [0] [1 1 1] [1], [1 0 0] [c](x0) = [0 0 1]x0 [0 1 0] , [1 0 1] [b](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [d](x0) = [0 0 0]x0 [0 0 0] orientation: [2 1 1] [1] [1 0 1] b(a(x1)) = [0 0 0]x1 + [0] >= [0 0 0]x1 = d(b(x1)) [0 0 0] [0] [0 0 0] [1 0 0] [0] [1 0 0] c(a(x1)) = [1 1 1]x1 + [1] >= [0 0 0]x1 = d(d(d(x1))) [0 0 1] [0] [0 0 0] [1 0 1] [1 0 1] d(b(x1)) = [0 0 0]x1 >= [0 0 0]x1 = b(c(a(x1))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] f(c(x1)) = [0 0 0]x1 >= [0 0 0]x1 = c(d(d(x1))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] d(d(x1)) = [0 0 0]x1 >= [0 0 0]x1 = f(x1) [0 0 0] [0 0 0] problem: c(a(x1)) -> d(d(d(x1))) d(b(x1)) -> b(c(a(x1))) f(c(x1)) -> c(d(d(x1))) d(d(x1)) -> f(x1) String Reversal Processor: a(c(x1)) -> d(d(d(x1))) b(d(x1)) -> a(c(b(x1))) c(f(x1)) -> d(d(c(x1))) d(d(x1)) -> f(x1) WPO Processor:
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