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SRS Stand 10685 pair #381717907
details
property
value
status
complete
benchmark
size-12-alpha-3-num-113.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n102.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
23.9702880383 seconds
cpu usage
94.475952678
max memory
1.481568256E9
stage attributes
key
value
output-size
2952
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a(x1) -> x1 a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) c(a(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(b(x1)))))) a(c(x1)) -> x1 DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(c(b(b(x1)))) b#(a(a(x1))) -> a#(a(c(b(b(x1))))) b#(a(a(x1))) -> a#(a(a(c(b(b(x1)))))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(b(x1)))))) a(c(x1)) -> x1 TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(c(b(b(x1)))) b#(a(a(x1))) -> a#(a(c(b(b(x1))))) b#(a(a(x1))) -> a#(a(a(c(b(b(x1)))))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(b(x1)))))) a(c(x1)) -> x1 graph: b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(a(c(b(b(x1)))))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(c(b(b(x1))))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(c(b(b(x1)))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(a(c(b(b(x1)))))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(c(b(b(x1))))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(c(b(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(b(x1)))))) a(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(b(x1)))))) a(c(x1)) -> x1 interpretation: [b#](x0) = [0 1]x0 + [3], [-& -&] [0] [c](x0) = [0 0 ]x0 + [3], [0 0] [0] [b](x0) = [0 0]x0 + [0], [0 0] [3] [a](x0) = [1 0]x0 + [0] orientation: b#(a(a(x1))) = [2 2]x1 + [5] >= [1 1]x1 + [3] = b#(b(x1)) b#(a(a(x1))) = [2 2]x1 + [5] >= [0 1]x1 + [3] = b#(x1) [0 0] [3] a(x1) = [1 0]x1 + [0] >= x1 = x1 [1 1] [4] [1 1] [4] b(a(a(x1))) = [1 1]x1 + [4] >= [1 1]x1 + [4] = a(a(a(c(b(b(x1)))))) [0 0] [3] a(c(x1)) = [0 0]x1 + [3] >= x1 = x1 problem: DPs: TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(a(c(b(b(x1)))))) a(c(x1)) -> x1 Qed
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