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SRS Standard pair #487091450
details
property
value
status
complete
benchmark
z094.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)
1.17928 seconds
cpu usage
3.38788
user time
2.59866
system time
0.789213
max virtual memory
5908348.0
max residence set size
61716.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x1) -> n(c(c(x1))) c(f(x1)) -> f(c(c(x1))) c(c(x1)) -> c(x1) n(s(x1)) -> f(s(s(x1))) n(f(x1)) -> f(n(x1)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [c](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [s](x0) = [0 0 0]x0 + [1] [1 1 0] [0], [1 0 0] [f](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [n](x0) = [0 1 0]x0 [0 0 1] orientation: [1 0 0] [1 0 0] f(x1) = [0 1 0]x1 >= [0 0 0]x1 = n(c(c(x1))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] c(f(x1)) = [0 0 0]x1 >= [0 0 0]x1 = f(c(c(x1))) [0 0 0] [0 0 0] [1 0 0] [1 0 0] c(c(x1)) = [0 0 0]x1 >= [0 0 0]x1 = c(x1) [0 0 0] [0 0 0] [1 0 0] [1] [1 0 0] [0] n(s(x1)) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = f(s(s(x1))) [1 1 0] [0] [0 0 0] [0] [1 1 0] [1 1 0] n(f(x1)) = [0 1 0]x1 >= [0 1 0]x1 = f(n(x1)) [0 0 0] [0 0 0] problem: f(x1) -> n(c(c(x1))) c(f(x1)) -> f(c(c(x1))) c(c(x1)) -> c(x1) n(f(x1)) -> f(n(x1)) String Reversal Processor: f(x1) -> c(c(n(x1))) f(c(x1)) -> c(c(f(x1))) c(c(x1)) -> c(x1) f(n(x1)) -> n(f(x1)) WPO Processor: algebra: Sum weight function: w0 = 0 w(n) = w(f) = 3 w(c) = 0 status function: st(n) = st(c) = st(f) = [0] precedence: f > n ~ c problem: Qed
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