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SRS Standard pair #487085180
details
property
value
status
complete
benchmark
size-12-alpha-3-num-152.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.9106 seconds
cpu usage
172.223
user time
169.022
system time
3.20132
max virtual memory
1.0889288E7
max residence set size
101712.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(a(a(c(x1)))) b(x1) -> x1 c(c(a(x1))) -> b(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) graph: b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) -> a#(c(c(x1))) -> b#(x1) b#(a(x1)) -> a#(a(b(x1))) -> a#(c(c(x1))) -> b#(x1) a#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> a#(a(b(x1))) a#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) a#(c(c(x1))) -> b#(x1) -> b#(a(x1)) -> b#(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) interpretation: [b#](x0) = [0 1]x0, [0 -&] [-&] [b](x0) = [1 0 ]x0 + [0 ], [a#](x0) = [0 0]x0 + [0], [1 0] [0] [a](x0) = [0 0]x0 + [0], [-& 0 ] [0 ] [c](x0) = [0 1 ]x0 + [-&] orientation: b#(a(x1)) = [1 1]x1 + [1] >= [0 1]x1 = b#(x1) b#(a(x1)) = [1 1]x1 + [1] >= [1 0]x1 + [0] = a#(b(x1)) b#(a(x1)) = [1 1]x1 + [1] >= [1 0]x1 + [0] = a#(a(b(x1))) a#(c(c(x1))) = [1 2]x1 + [0] >= [0 1]x1 = b#(x1) [1 0] [0] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 0] [0] [1 0] [0] b(a(x1)) = [2 1]x1 + [1] >= [2 1]x1 + [1] = c(a(a(b(x1)))) [0 -&] [-&] b(x1) = [1 0 ]x1 + [0 ] >= x1 = x1 [1 2] [1] [0 -&] [-&] a(c(c(x1))) = [1 2]x1 + [0] >= [1 0 ]x1 + [0 ] = b(x1) problem: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(x1)))) b(x1) -> x1 a(c(c(x1))) -> b(x1) Restore Modifier: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> a#(a(b(x1)))
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