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SRS Stand 10685 pair #381723537
details
property
value
status
complete
benchmark
size-12-alpha-3-num-125.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.9796278477 seconds
cpu usage
102.50135582
max memory
1.574105088E9
stage attributes
key
value
output-size
5421
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(a(b(x1))) -> c(c(a(c(x1)))) c(c(x1)) -> b(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) DP Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> a#(c(c(x1))) b#(a(a(x1))) -> c#(a(c(c(x1)))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> a#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) TDG Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> a#(c(c(x1))) b#(a(a(x1))) -> c#(a(c(c(x1)))) c#(c(x1)) -> b#(x1) c#(c(x1)) -> a#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) graph: c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(a(c(c(x1)))) c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(c(c(x1))) c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(c(x1)) c#(c(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) -> c#(c(x1)) -> a#(b(x1)) b#(a(a(x1))) -> c#(c(x1)) -> c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(x1)) -> a#(b(x1)) b#(a(a(x1))) -> c#(a(c(c(x1)))) -> c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(x1) -> c#(c(x1)) -> a#(b(x1)) b#(a(a(x1))) -> c#(x1) -> c#(c(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 4 #arcs: 10/36 DPs: c#(c(x1)) -> b#(x1) b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(c(x1)) b#(a(a(x1))) -> c#(a(c(c(x1)))) TRS: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> c(a(c(c(x1)))) c(c(x1)) -> a(b(x1)) interpretation: [c#](x0) = [0 0]x0 + [0], [b#](x0) = [0 0]x0, [0 0] [-&] [c](x0) = [1 0]x0 + [0 ], [0 0] [b](x0) = [0 0]x0, [0 0] [0 ] [a](x0) = [1 1]x0 + [-&] orientation: c#(c(x1)) = [1 0]x1 + [0] >= [0 0]x1 = b#(x1) b#(a(a(x1))) = [2 2]x1 + [1] >= [0 0]x1 + [0] = c#(x1) b#(a(a(x1))) = [2 2]x1 + [1] >= [1 0]x1 + [0] = c#(c(x1)) b#(a(a(x1))) = [2 2]x1 + [1] >= [2 2]x1 + [1] = c#(a(c(c(x1)))) [0 0] [0 ] a(x1) = [1 1]x1 + [-&] >= x1 = x1 [2 2] [1] [2 2] [1] b(a(a(x1))) = [2 2]x1 + [1] >= [2 2]x1 + [1] = c(a(c(c(x1))))
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