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SRS Stand 10685 pair #381722040
details
property
value
status
complete
benchmark
size-12-alpha-3-num-284.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
23.3495850563 seconds
cpu usage
91.953706454
max memory
1.28729088E9
stage attributes
key
value
output-size
2983
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)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> c#(b(b(a(a(x1))))) b#(x1) -> c#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> c#(b(b(a(a(x1))))) b#(x1) -> c#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 graph: a#(b(x1)) -> b#(b(a(a(x1)))) -> b#(x1) -> c#(x1) a#(b(x1)) -> b#(a(a(x1))) -> b#(x1) -> c#(x1) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(b(a(a(x1))))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(b(b(a(a(x1))))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(b(a(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: a#(b(x1)) -> a#(a(x1)) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> c(b(b(a(a(x1))))) b(x1) -> c(x1) c(c(x1)) -> x1 interpretation: [a#](x0) = [0 1]x0 + [0], [0 0 ] [-&] [c](x0) = [0 -&]x0 + [0 ], [0 0] [-&] [b](x0) = [0 2]x0 + [2 ], [0 2 ] [0] [a](x0) = [-& 0 ]x0 + [0] orientation: a#(b(x1)) = [1 3]x1 + [3] >= [0 2]x1 + [1] = a#(a(x1)) a#(b(x1)) = [1 3]x1 + [3] >= [0 1]x1 + [0] = a#(x1) [0 2 ] [0] a(x1) = [-& 0 ]x1 + [0] >= x1 = x1 [2 4] [4] [2 4] [4] a(b(x1)) = [0 2]x1 + [2] >= [0 2]x1 + [2] = c(b(b(a(a(x1))))) [0 0] [-&] [0 0 ] [-&] b(x1) = [0 2]x1 + [2 ] >= [0 -&]x1 + [0 ] = c(x1) [0 0] [0] c(c(x1)) = [0 0]x1 + [0] >= x1 = x1
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