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SRS Standard pair #487512309
details
property
value
status
complete
benchmark
size-12-alpha-3-num-164.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.9970691204 seconds
cpu usage
170.584061221
max memory
1.627090944E9
stage attributes
key
value
output-size
4302
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> x1 a(b(x1)) -> b(a(c(x1))) b(x1) -> x1 c(c(x1)) -> c(b(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(c(x1))) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> a#(b(c(x1))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(c(x1))) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> a#(b(c(x1))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(c(x1))) graph: c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> c#(a(b(x1))) c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> a#(b(x1)) c#(c(x1)) -> b#(c(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> a#(b(c(x1))) b#(a(x1)) -> c#(a(b(x1))) -> c#(c(x1)) -> b#(c(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 8/25 DPs: c#(c(x1)) -> b#(c(x1)) b#(a(x1)) -> b#(x1) b#(a(x1)) -> c#(a(b(x1))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(c(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(x1))) b(x1) -> x1 c(c(x1)) -> a(b(c(x1))) interpretation: [b#](x0) = [-& 0 ]x0 + [0], [0 0] [b](x0) = [0 0]x0, [c#](x0) = [1 -&]x0, [0 0] [-&] [a](x0) = [1 1]x0 + [0 ], [1 0] [0] [c](x0) = [1 0]x0 + [0] orientation: c#(c(x1)) = [2 1]x1 + [1] >= [1 0]x1 + [0] = b#(c(x1)) b#(a(x1)) = [1 1]x1 + [0] >= [-& 0 ]x1 + [0] = b#(x1) b#(a(x1)) = [1 1]x1 + [0] >= [1 1]x1 = c#(a(b(x1))) [0 0] [-&] a(x1) = [1 1]x1 + [0 ] >= x1 = x1 [1 1] [0] [1 1] [0] b(a(x1)) = [1 1]x1 + [0] >= [1 1]x1 + [0] = c(a(b(x1))) [0 0]
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