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SRS Standard pair #487091822
details
property
value
status
complete
benchmark
z023.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.21045 seconds
cpu usage
3.71803
user time
2.95036
system time
0.767666
max virtual memory
5906544.0
max residence set size
67428.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(b(x1))) -> b(a(b(x1))) b(a(x1)) -> a(b(b(x1))) b(c(a(x1))) -> c(c(a(a(b(x1))))) Proof: String Reversal Processor: b(a(a(x1))) -> b(a(b(x1))) a(b(x1)) -> b(b(a(x1))) a(c(b(x1))) -> b(a(a(c(c(x1))))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [a](x0) = [0 1 1]x0 [0 0 0] , [1 0 0] [0] [b](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 0] [c](x0) = [0 0 0]x0 [0 1 0] orientation: [1 0 1] [0] [1 0 1] [0] b(a(a(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a(b(x1))) [0 0 0] [0] [0 0 0] [0] [1 0 1] [0] [1 0 1] [0] a(b(x1)) = [0 0 1]x1 + [1] >= [0 0 0]x1 + [1] = b(b(a(x1))) [0 0 0] [0] [0 0 0] [0] [1 0 0] [1] [1 0 0] [0] a(c(b(x1))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(a(a(c(c(x1))))) [0 0 0] [0] [0 0 0] [0] problem: b(a(a(x1))) -> b(a(b(x1))) a(b(x1)) -> b(b(a(x1))) String Reversal Processor: a(a(b(x1))) -> b(a(b(x1))) b(a(x1)) -> a(b(b(x1))) KBO Processor: weight function: w0 = 1 w(a) = 1 w(b) = 0 precedence: b > a problem: Qed
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