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SRS Stand 10685 pair #381722235
details
property
value
status
complete
benchmark
size-12-alpha-3-num-128.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
28.2604079247 seconds
cpu usage
111.487612135
max memory
1.64366336E9
stage attributes
key
value
output-size
4590
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) -> x1 a(a(b(b(x1)))) -> b(c(a(c(x1)))) c(x1) -> b(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(b(a(a(x1)))) -> c(a(c(b(x1)))) c(x1) -> a(b(x1)) DP Processor: DPs: b#(b(a(a(x1)))) -> b#(x1) b#(b(a(a(x1)))) -> c#(b(x1)) b#(b(a(a(x1)))) -> a#(c(b(x1))) b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) c#(x1) -> b#(x1) c#(x1) -> a#(b(x1)) TRS: a(x1) -> x1 b(b(a(a(x1)))) -> c(a(c(b(x1)))) c(x1) -> a(b(x1)) TDG Processor: DPs: b#(b(a(a(x1)))) -> b#(x1) b#(b(a(a(x1)))) -> c#(b(x1)) b#(b(a(a(x1)))) -> a#(c(b(x1))) b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) c#(x1) -> b#(x1) c#(x1) -> a#(b(x1)) TRS: a(x1) -> x1 b(b(a(a(x1)))) -> c(a(c(b(x1)))) c(x1) -> a(b(x1)) graph: c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(c(b(x1))) c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(b(x1)) c#(x1) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) b#(b(a(a(x1)))) -> c#(b(x1)) -> c#(x1) -> a#(b(x1)) b#(b(a(a(x1)))) -> c#(b(x1)) -> c#(x1) -> b#(x1) b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) -> c#(x1) -> a#(b(x1)) b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) -> c#(x1) -> b#(x1) b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> a#(c(b(x1))) b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> c#(b(x1)) b#(b(a(a(x1)))) -> b#(x1) -> b#(b(a(a(x1)))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 12/36 DPs: c#(x1) -> b#(x1) b#(b(a(a(x1)))) -> b#(x1) b#(b(a(a(x1)))) -> c#(b(x1)) b#(b(a(a(x1)))) -> c#(a(c(b(x1)))) TRS: a(x1) -> x1 b(b(a(a(x1)))) -> c(a(c(b(x1)))) c(x1) -> a(b(x1)) Arctic Interpretation Processor: dimension: 4 usable rules: a(x1) -> x1 b(b(a(a(x1)))) -> c(a(c(b(x1)))) c(x1) -> a(b(x1)) interpretation: [c#](x0) = [-& 0 -& -&]x0 + [0], [b#](x0) = [-& 0 -& -&]x0 + [0], [0 1 0 0 ] [1] [0 0 0 0 ] [0] [c](x0) = [0 0 0 0 ]x0 + [0] [0 1 0 -&] [1], [0 0 -& -&] [-&] [0 0 0 0 ] [0 ] [b](x0) = [-& 0 -& -&]x0 + [0 ] [0 0 0 -&] [0 ], [0 0 1 0 ] [1] [-& 0 0 -&] [0] [a](x0) = [0 0 0 0 ]x0 + [0] [0 -& 0 0 ] [0] orientation: c#(x1) = [-& 0 -& -&]x1 + [0] >= [-& 0 -& -&]x1 + [0] = b#(x1) b#(b(a(a(x1)))) = [1 1 1 1]x1 + [1] >= [-& 0 -& -&]x1 + [0] = b#(x1) b#(b(a(a(x1)))) = [1 1 1 1]x1 + [1] >= [0 0 0 0]x1 + [0] = c#(b(x1))
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