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SRS Stand 10685 pair #381717627
details
property
value
status
complete
benchmark
size-12-alpha-3-num-200.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
22.3443300724 seconds
cpu usage
88.012304231
max memory
1.368645632E9
stage attributes
key
value
output-size
2895
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(x1)) -> b(b(a(c(x1)))) b(x1) -> x1 c(b(c(x1))) -> a(x1) Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(b(c(x1))) -> a(x1) DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) c#(b(c(x1))) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(b(c(x1))) -> a(x1) TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> c#(a(b(b(x1)))) c#(b(c(x1))) -> a#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(b(c(x1))) -> a(x1) graph: b#(a(x1)) -> c#(a(b(b(x1)))) -> c#(b(c(x1))) -> a#(x1) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(b(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 9/25 DPs: b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(b(c(x1))) -> a(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> x1 c(b(c(x1))) -> a(x1) interpretation: [b#](x0) = [0 0]x0, [0 0] [0] [c](x0) = [1 0]x0 + [0], [0 0] [b](x0) = [0 0]x0, [0 0] [-&] [a](x0) = [1 1]x0 + [0 ] orientation: b#(a(x1)) = [1 1]x1 + [0] >= [0 0]x1 = b#(b(x1)) b#(a(x1)) = [1 1]x1 + [0] >= [0 0]x1 = b#(x1) [0 0] [-&] a(x1) = [1 1]x1 + [0 ] >= x1 = x1 [1 1] [0] [1 1] [0] b(a(x1)) = [1 1]x1 + [0] >= [1 1]x1 + [0] = c(a(b(b(x1)))) [0 0] b(x1) = [0 0]x1 >= x1 = x1 [1 0] [0] [0 0] [-&] c(b(c(x1))) = [2 1]x1 + [1] >= [1 1]x1 + [0 ] = a(x1)
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