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SRS Stand 10685 pair #381721380
details
property
value
status
complete
benchmark
size-12-alpha-3-num-149.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n004.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
22.526807785 seconds
cpu usage
88.726199451
max memory
1.374920704E9
stage attributes
key
value
output-size
3127
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> x1 a(b(x1)) -> a(c(b(b(c(x1))))) b(x1) -> x1 c(c(x1)) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(b(b(c(a(x1))))) b(x1) -> x1 c(c(x1)) -> a(x1) DP Processor: DPs: b#(a(x1)) -> c#(a(x1)) b#(a(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(b(c(a(x1)))) b#(a(x1)) -> c#(b(b(c(a(x1))))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(b(b(c(a(x1))))) b(x1) -> x1 c(c(x1)) -> a(x1) TDG Processor: DPs: b#(a(x1)) -> c#(a(x1)) b#(a(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(b(c(a(x1)))) b#(a(x1)) -> c#(b(b(c(a(x1))))) c#(c(x1)) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(b(b(c(a(x1))))) b(x1) -> x1 c(c(x1)) -> a(x1) graph: b#(a(x1)) -> c#(b(b(c(a(x1))))) -> c#(c(x1)) -> a#(x1) b#(a(x1)) -> c#(a(x1)) -> c#(c(x1)) -> a#(x1) b#(a(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> c#(b(b(c(a(x1))))) b#(a(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> b#(b(c(a(x1)))) b#(a(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(c(a(x1))) -> b#(a(x1)) -> c#(a(x1)) b#(a(x1)) -> b#(b(c(a(x1)))) -> b#(a(x1)) -> c#(b(b(c(a(x1))))) b#(a(x1)) -> b#(b(c(a(x1)))) -> b#(a(x1)) -> b#(b(c(a(x1)))) b#(a(x1)) -> b#(b(c(a(x1)))) -> b#(a(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(b(c(a(x1)))) -> b#(a(x1)) -> c#(a(x1)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(x1)) -> b#(c(a(x1))) b#(a(x1)) -> b#(b(c(a(x1)))) TRS: a(x1) -> x1 b(a(x1)) -> c(b(b(c(a(x1))))) b(x1) -> x1 c(c(x1)) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(b(b(c(a(x1))))) b(x1) -> x1 c(c(x1)) -> a(x1) interpretation: [b#](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [c](x0) = [0 2 ]x0 + [2], [0 -&] [0] [b](x0) = [2 0 ]x0 + [0], [0 2 ] [2] [a](x0) = [-& 0 ]x0 + [0] orientation: b#(a(x1)) = [0 2]x1 + [2] >= [-& 0 ]x1 + [0] = b#(c(a(x1))) b#(a(x1)) = [0 2]x1 + [2] >= [-& 0 ]x1 + [0] = b#(b(c(a(x1)))) [0 2 ] [2] a(x1) = [-& 0 ]x1 + [0] >= x1 = x1 [0 2] [2] [0 2] [2] b(a(x1)) = [2 4]x1 + [4] >= [2 4]x1 + [4] = c(b(b(c(a(x1))))) [0 -&] [0] b(x1) = [2 0 ]x1 + [0] >= x1 = x1 [0 2] [2] [0 2 ] [2]
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