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SRS Stand 10685 pair #381722265
details
property
value
status
complete
benchmark
size-12-alpha-3-num-225.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
24.2276210785 seconds
cpu usage
95.486714663
max memory
1.38981376E9
stage attributes
key
value
output-size
4017
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(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 graph: a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(b(c(a(c(a(x1)))))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(c(a(c(a(x1))))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(c(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(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#(c(a(x1))) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> b(b(c(a(c(a(x1)))))) b(x1) -> x1 c(c(x1)) -> x1 interpretation: [a#](x0) = [1 0]x0, [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0], [0 1 ] [3] [b](x0) = [-& 0 ]x0 + [2], [2 ] [a](x0) = x0 + [-&] orientation: a#(b(x1)) = [1 2]x1 + [4] >= [0 1]x1 + [2] = a#(c(a(x1))) a#(b(x1)) = [1 2]x1 + [4] >= [1 0]x1 = a#(x1) [2 ] a(x1) = x1 + [-&] >= x1 = x1 [0 1 ] [3] [0 1 ] [3] a(b(x1)) = [-& 0 ]x1 + [2] >= [-& 0 ]x1 + [2] = b(b(c(a(c(a(x1)))))) [0 1 ] [3] b(x1) = [-& 0 ]x1 + [2] >= x1 = x1 [0] c(c(x1)) = x1 + [0] >= x1 = x1
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