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SRS Stand 10685 pair #381721020
details
property
value
status
complete
benchmark
size-12-alpha-3-num-417.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
24.7505400181 seconds
cpu usage
97.5932126
max memory
1.49131264E9
stage attributes
key
value
output-size
4695
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(b(x1))))) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(x1) -> b#(x1) b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> c#(a(b(x1))) b#(b(c(x1))) -> b#(c(a(b(x1)))) b#(b(c(x1))) -> c#(b(c(a(b(x1))))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(b(x1))))) c(c(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> c#(a(b(x1))) b#(b(c(x1))) -> b#(c(a(b(x1)))) b#(b(c(x1))) -> c#(b(c(a(b(x1))))) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(b(x1))))) c(c(x1)) -> x1 graph: b#(b(c(x1))) -> b#(c(a(b(x1)))) -> b#(b(c(x1))) -> c#(b(c(a(b(x1))))) b#(b(c(x1))) -> b#(c(a(b(x1)))) -> b#(b(c(x1))) -> b#(c(a(b(x1)))) b#(b(c(x1))) -> b#(c(a(b(x1)))) -> b#(b(c(x1))) -> c#(a(b(x1))) b#(b(c(x1))) -> b#(c(a(b(x1)))) -> b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> b#(c(a(b(x1)))) -> b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> c#(b(c(a(b(x1))))) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> b#(c(a(b(x1)))) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> c#(a(b(x1))) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> a#(b(x1)) b#(b(c(x1))) -> b#(x1) -> b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) -> a#(x1) -> b#(x1) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(b(c(a(b(x1))))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> b#(c(a(b(x1)))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> c#(a(b(x1))) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> a#(b(x1)) a#(x1) -> b#(x1) -> b#(b(c(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 16/36 DPs: b#(b(c(x1))) -> b#(c(a(b(x1)))) b#(b(c(x1))) -> b#(x1) b#(b(c(x1))) -> a#(b(x1)) a#(x1) -> b#(x1) TRS: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(b(x1))))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) b(b(c(x1))) -> c(b(c(a(b(x1))))) c(c(x1)) -> x1 interpretation: [b#](x0) = [1 0]x0, [a#](x0) = [2 1]x0 + [0], [-& 0 ] [1] [c](x0) = [0 2 ]x0 + [3], [-& 0 ] [0 ] [b](x0) = [0 -&]x0 + [-&], [0 0 ] [0] [a](x0) = [0 -&]x0 + [0] orientation: b#(b(c(x1))) = [1 3]x1 + [4] >= [0 2]x1 + [3] = b#(c(a(b(x1)))) b#(b(c(x1))) = [1 3]x1 + [4] >= [1 0]x1 = b#(x1) b#(b(c(x1))) = [1 3]x1 + [4] >= [1 2]x1 + [2] = a#(b(x1)) a#(x1) = [2 1]x1 + [0] >= [1 0]x1 = b#(x1) [0 0 ] [0] [-& 0 ] [0 ] a(x1) = [0 -&]x1 + [0] >= [0 -&]x1 + [-&] = b(x1)
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