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SRS Stand 10685 pair #381723377
details
property
value
status
complete
benchmark
size-12-alpha-3-num-296.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
30.8469400406 seconds
cpu usage
121.995480287
max memory
1.544167424E9
stage attributes
key
value
output-size
3086
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(b(b(x1))) -> b(b(b(a(a(c(x1)))))) c(b(x1)) -> x1 Proof: DP Processor: DPs: a#(b(b(x1))) -> c#(x1) a#(b(b(x1))) -> a#(c(x1)) a#(b(b(x1))) -> a#(a(c(x1))) TRS: a(x1) -> x1 a(b(b(x1))) -> b(b(b(a(a(c(x1)))))) c(b(x1)) -> x1 TDG Processor: DPs: a#(b(b(x1))) -> c#(x1) a#(b(b(x1))) -> a#(c(x1)) a#(b(b(x1))) -> a#(a(c(x1))) TRS: a(x1) -> x1 a(b(b(x1))) -> b(b(b(a(a(c(x1)))))) c(b(x1)) -> x1 graph: a#(b(b(x1))) -> a#(c(x1)) -> a#(b(b(x1))) -> a#(a(c(x1))) a#(b(b(x1))) -> a#(c(x1)) -> a#(b(b(x1))) -> a#(c(x1)) a#(b(b(x1))) -> a#(c(x1)) -> a#(b(b(x1))) -> c#(x1) a#(b(b(x1))) -> a#(a(c(x1))) -> a#(b(b(x1))) -> a#(a(c(x1))) a#(b(b(x1))) -> a#(a(c(x1))) -> a#(b(b(x1))) -> a#(c(x1)) a#(b(b(x1))) -> a#(a(c(x1))) -> a#(b(b(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 6/9 DPs: a#(b(b(x1))) -> a#(c(x1)) a#(b(b(x1))) -> a#(a(c(x1))) TRS: a(x1) -> x1 a(b(b(x1))) -> b(b(b(a(a(c(x1)))))) c(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 4 usable rules: a(x1) -> x1 a(b(b(x1))) -> b(b(b(a(a(c(x1)))))) c(b(x1)) -> x1 interpretation: [a#](x0) = [0 -& 0 0 ]x0 + [0], [0 -& -& 0 ] [0] [0 0 0 1 ] [1] [c](x0) = [0 -& -& 0 ]x0 + [0] [0 -& -& 0 ] [0], [0 -& 0 0 ] [0] [0 -& -& 0 ] [0] [b](x0) = [-& 0 -& 1 ]x0 + [0] [0 -& -& -&] [0], [0 -& 0 0 ] [0] [0 0 0 -&] [0] [a](x0) = [0 -& 0 0 ]x0 + [0] [0 -& 0 0 ] [0] orientation: a#(b(b(x1))) = [1 0 0 1]x1 + [1] >= [0 -& -& 0 ]x1 + [0] = a#(c(x1)) a#(b(b(x1))) = [1 0 0 1]x1 + [1] >= [0 -& -& 0 ]x1 + [0] = a#(a(c(x1))) [0 -& 0 0 ] [0] [0 0 0 -&] [0] a(x1) = [0 -& 0 0 ]x1 + [0] >= x1 = x1 [0 -& 0 0 ] [0] [1 0 0 1] [1] [1 0 0 1 ] [1] [1 0 0 1] [1] [1 0 0 1 ] [1] a(b(b(x1))) = [1 0 0 1]x1 + [1] >= [1 -& -& 1 ]x1 + [1] = b(b(b(a(a(c(x1)))))) [1 0 0 1] [1] [1 0 0 1 ] [1] [0 -& 0 0 ] [0] [1 0 0 1 ] [1] c(b(x1)) = [0 -& 0 0 ]x1 + [0] >= x1 = x1 [0 -& 0 0 ] [0] problem: DPs: TRS: a(x1) -> x1 a(b(b(x1))) -> b(b(b(a(a(c(x1)))))) c(b(x1)) -> x1 Qed
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