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SRS Stand 10685 pair #381718254
details
property
value
status
complete
benchmark
size-12-alpha-2-num-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
24.764621973 seconds
cpu usage
97.591027645
max memory
1.413369856E9
stage attributes
key
value
output-size
4032
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(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 Proof: DP Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> b#(a(b(a(a(x1))))) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 TDG Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> b#(a(b(a(a(x1))))) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 graph: a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> b#(a(b(a(a(x1))))) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(b(a(a(x1))))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(b(a(a(x1))))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 interpretation: [a#](x0) = [-& 0 ]x0 + [0], [1 0 ] [3] [b](x0) = [0 -&]x0 + [2], [-& 0 ] [1] [a](x0) = [0 -&]x0 + [1] orientation: a#(a(b(x1))) = [1 0]x1 + [3] >= [0 -&]x1 + [2] = a#(b(a(a(x1)))) a#(a(b(x1))) = [1 0]x1 + [3] >= [-& 0 ]x1 + [0] = a#(x1) a#(a(b(x1))) = [1 0]x1 + [3] >= [0 -&]x1 + [1] = a#(a(x1)) [1] a(a(x1)) = x1 + [1] >= x1 = x1 [1 0 ] [3] [1 0 ] [3] a(a(b(x1))) = [0 -&]x1 + [2] >= [0 -&]x1 + [2] = b(a(b(a(a(x1))))) [2 1] [4] b(b(x1)) = [1 0]x1 + [3] >= x1 = x1 problem: DPs: a#(a(b(x1))) -> a#(x1) TRS: a(a(x1)) -> x1
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