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SRS Standard pair #487084148
details
property
value
status
complete
benchmark
size-12-alpha-3-num-300.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
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
47.4195 seconds
cpu usage
185.448
user time
181.806
system time
3.64187
max virtual memory
1.1834968E7
max residence set size
101844.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(b(x1))) -> b(b(b(c(x1)))) c(b(x1)) -> a(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(b(a(x1))) -> c(b(b(b(x1)))) b(c(x1)) -> a(a(x1)) DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> a#(a(x1)) TRS: a(x1) -> x1 b(b(a(x1))) -> c(b(b(b(x1)))) b(c(x1)) -> a(a(x1)) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) b#(c(x1)) -> a#(x1) b#(c(x1)) -> a#(a(x1)) TRS: a(x1) -> x1 b(b(a(x1))) -> c(b(b(b(x1)))) b(c(x1)) -> a(a(x1)) graph: b#(b(a(x1))) -> b#(b(b(x1))) -> b#(c(x1)) -> a#(a(x1)) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(c(x1)) -> a#(x1) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(b(x1))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) -> b#(c(x1)) -> a#(a(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(c(x1)) -> a#(x1) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(c(x1)) -> a#(a(x1)) b#(b(a(x1))) -> b#(x1) -> b#(c(x1)) -> a#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: b#(b(a(x1))) -> b#(b(b(x1))) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(b(a(x1))) -> c(b(b(b(x1)))) b(c(x1)) -> a(a(x1)) Arctic Interpretation Processor: dimension: 3 usable rules: a(x1) -> x1 b(b(a(x1))) -> c(b(b(b(x1)))) b(c(x1)) -> a(a(x1)) interpretation: [b#](x0) = [-& 0 -&]x0 + [0], [-& 0 -&] [0 ] [b](x0) = [-& -& 0 ]x0 + [-&] [0 -& -&] [0 ], [0 -& -&] [-&] [a](x0) = [0 0 -&]x0 + [-&] [1 0 0 ] [1 ], [1 0 0 ] [1] [c](x0) = [0 -& -&]x0 + [0] [0 0 -&] [0] orientation: b#(b(a(x1))) = [1 0 0]x1 + [1] >= [0 -& -&]x1 + [0] = b#(b(b(x1))) b#(b(a(x1))) = [1 0 0]x1 + [1] >= [-& 0 -&]x1 + [0] = b#(x1) b#(b(a(x1))) = [1 0 0]x1 + [1] >= [-& -& 0 ]x1 + [0] = b#(b(x1)) [0 -& -&] [-&] a(x1) = [0 0 -&]x1 + [-&] >= x1 = x1 [1 0 0 ] [1 ] [1 0 0 ] [1] [1 0 0 ] [1] b(b(a(x1))) = [0 -& -&]x1 + [0] >= [0 -& -&]x1 + [0] = c(b(b(b(x1)))) [0 0 -&] [0] [0 0 -&] [0] [0 -& -&] [0] [0 -& -&] [-&] b(c(x1)) = [0 0 -&]x1 + [0] >= [0 0 -&]x1 + [-&] = a(a(x1)) [1 0 0 ] [1] [1 0 0 ] [1 ]
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