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SRS Stand 10685 pair #381722867
details
property
value
status
complete
benchmark
size-12-alpha-2-num-3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n086.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
24.8344678879 seconds
cpu usage
97.854296735
max memory
1.440243712E9
stage attributes
key
value
output-size
4238
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(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) Proof: DP Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> a#(b(a(b(b(x1))))) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) TDG Processor: DPs: b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> a#(b(a(b(b(x1))))) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) graph: b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(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#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> a#(b(b(x1))) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(b(x1)) b#(b(a(x1))) -> b#(a(b(b(x1)))) -> b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(b(a(b(b(x1))))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> b#(a(b(b(x1)))) b#(b(a(x1))) -> b#(x1) -> b#(b(a(x1))) -> a#(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(x1)) b#(b(a(x1))) -> b#(x1) b#(b(a(x1))) -> b#(a(b(b(x1)))) TRS: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> x1 a(b(x1)) -> x1 b(b(a(x1))) -> a(b(a(b(b(x1))))) interpretation: [b#](x0) = [1 0]x0 + [0], [-& 0 ] [0] [b](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [a](x0) = [0 1 ]x0 + [1] orientation: b#(b(a(x1))) = [1 2]x1 + [2] >= [0 1]x1 + [1] = b#(b(x1)) b#(b(a(x1))) = [1 2]x1 + [2] >= [1 0]x1 + [0] = b#(x1) b#(b(a(x1))) = [1 2]x1 + [2] >= [0 1]x1 + [1] = b#(a(b(b(x1)))) [0 1] [1] a(a(x1)) = [1 2]x1 + [2] >= x1 = x1 [0 -&] [0] a(b(x1)) = [1 0 ]x1 + [1] >= x1 = x1 [-& 0 ] [0] [-& 0 ] [0] b(b(a(x1))) = [0 1 ]x1 + [1] >= [0 1 ]x1 + [1] = a(b(a(b(b(x1))))) problem: DPs: b#(b(a(x1))) -> b#(x1) TRS: a(a(x1)) -> x1
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