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SRS Stand 10685 pair #381717137
details
property
value
status
complete
benchmark
size-12-alpha-3-num-108.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n106.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
22.8007860184 seconds
cpu usage
89.821094082
max memory
1.464950784E9
stage attributes
key
value
output-size
2771
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(a(b(x1))) -> b(b(a(a(x1)))) b(x1) -> c(c(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(c(c(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(c(c(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) graph: b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(c(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(c(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) interpretation: [b#](x0) = [0 0]x0, [0 -&] [c](x0) = [-& -&]x0, [0 0] [b](x0) = [0 0]x0, [0 2] [a](x0) = [0 0]x0 orientation: b#(a(a(x1))) = [2 2]x1 >= [0 0]x1 = b#(b(x1)) b#(a(a(x1))) = [2 2]x1 >= [0 0]x1 = b#(x1) [0 2] a(x1) = [0 0]x1 >= x1 = x1 [2 2] [2 2] b(a(a(x1))) = [2 2]x1 >= [2 2]x1 = a(a(b(b(x1)))) [0 0] [0 -&] b(x1) = [0 0]x1 >= [0 -&]x1 = a(c(c(x1))) problem: DPs: TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) Qed
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