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SRS Stand 10685 pair #381722767
details
property
value
status
complete
benchmark
size-12-alpha-3-num-348.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
25.9031360149 seconds
cpu usage
102.159864318
max memory
1.569673216E9
stage attributes
key
value
output-size
3854
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) -> b(x1) a(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(c(x1))))) Proof: DP Processor: DPs: c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(a(c(c(x1)))) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(c(x1))))) TDG Processor: DPs: c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(a(c(c(x1)))) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(c(x1))))) graph: c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(a(c(c(x1)))) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(a(c(c(x1)))) -> c#(c(b(x1))) -> c#(a(c(c(x1)))) c#(c(b(x1))) -> c#(a(c(c(x1)))) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(a(c(c(x1)))) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(a(c(c(x1)))) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(a(c(c(x1)))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 12/16 DPs: c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(a(c(c(x1)))) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(c(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(c(x1))))) interpretation: [c#](x0) = [0 2]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0], [1 0 ] [1 ] [b](x0) = [-& -&]x0 + [-&], [1 0 ] [1] [a](x0) = [0 -&]x0 + [0] orientation: c#(c(b(x1))) = [3 2]x1 + [3] >= [2 0]x1 + [2] = c#(c(x1)) c#(c(b(x1))) = [3 2]x1 + [3] >= [0 2]x1 + [0] = c#(x1) c#(c(b(x1))) = [3 2]x1 + [3] >= [2 0]x1 + [2] = c#(a(c(c(x1)))) [1 0 ] [1] [1 0 ] [1 ] a(x1) = [0 -&]x1 + [0] >= [-& -&]x1 + [-&] = b(x1) [2 1] [2] a(b(x1)) = [1 0]x1 + [1] >= x1 = x1 [1 0 ] [1] [1 0 ] [1 ] c(c(b(x1))) = [-& -&]x1 + [0] >= [-& -&]x1 + [-&] = b(c(a(c(c(x1))))) problem: DPs: c#(c(b(x1))) -> c#(x1) TRS: a(x1) -> b(x1) a(b(x1)) -> x1 c(c(b(x1))) -> b(c(a(c(c(x1))))) Restore Modifier:
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