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SRS Standard pair #516974984
details
property
value
status
complete
benchmark
size-12-alpha-3-num-526.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
41.829957962 seconds
cpu usage
165.701410423
max memory
1.29153024E9
stage attributes
key
value
output-size
2748
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) b(c(a(x1))) -> x1 Proof: DP Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(a(x1))) a#(a(b(x1))) -> b#(c(a(a(a(x1))))) a#(a(b(x1))) -> b#(b(c(a(a(a(x1)))))) TRS: a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) b(c(a(x1))) -> x1 TDG Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(a(x1))) a#(a(b(x1))) -> b#(c(a(a(a(x1))))) a#(a(b(x1))) -> b#(b(c(a(a(a(x1)))))) TRS: a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) b(c(a(x1))) -> x1 graph: a#(a(b(x1))) -> a#(a(a(x1))) -> a#(a(b(x1))) -> b#(b(c(a(a(a(x1)))))) a#(a(b(x1))) -> a#(a(a(x1))) -> a#(a(b(x1))) -> b#(c(a(a(a(x1))))) a#(a(b(x1))) -> a#(a(a(x1))) -> a#(a(b(x1))) -> a#(a(a(x1))) a#(a(b(x1))) -> a#(a(a(x1))) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(a(x1))) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(b(c(a(a(a(x1)))))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(c(a(a(a(x1))))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(a(a(x1))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(b(c(a(a(a(x1)))))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(c(a(a(a(x1))))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(a(a(x1))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: a#(a(b(x1))) -> a#(a(a(x1))) a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) TRS: a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) b(c(a(x1))) -> x1 Arctic Interpretation Processor: dimension: 1 usable rules: a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) b(c(a(x1))) -> x1 interpretation: [a](x0) = 1x0 + 1, [a#](x0) = 1x0 + 0, [b](x0) = 2x0 + 8, [c](x0) = -3x0 + 2 orientation: a#(a(b(x1))) = 4x1 + 10 >= 3x1 + 3 = a#(a(a(x1))) a#(a(b(x1))) = 4x1 + 10 >= 1x1 + 0 = a#(x1) a#(a(b(x1))) = 4x1 + 10 >= 2x1 + 2 = a#(a(x1)) a(a(b(x1))) = 4x1 + 10 >= 4x1 + 10 = b(b(c(a(a(a(x1)))))) b(c(a(x1))) = x1 + 8 >= x1 = x1 problem: DPs: TRS: a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) b(c(a(x1))) -> x1 Qed
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