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SRS Standard pair #487084706
details
property
value
status
complete
benchmark
size-12-alpha-3-num-168.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)
43.0595 seconds
cpu usage
168.455
user time
165.827
system time
2.62853
max virtual memory
1.105416E7
max residence set size
89356.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(a(c(a(x1)))) b(x1) -> x1 c(c(c(x1))) -> b(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)) -> b#(a(c(a(x1)))) c#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> b(a(c(a(x1)))) b(x1) -> x1 c(c(c(x1))) -> b(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)) -> b#(a(c(a(x1)))) c#(c(c(x1))) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> b(a(c(a(x1)))) b(x1) -> x1 c(c(c(x1))) -> b(x1) graph: a#(b(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> b#(x1) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(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#(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: 9/25 DPs: a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> b(a(c(a(x1)))) b(x1) -> x1 c(c(c(x1))) -> b(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> b(a(c(a(x1)))) b(x1) -> x1 c(c(c(x1))) -> b(x1) interpretation: [1 1] [1 ] [b](x0) = [0 0]x0 + [-&], [a#](x0) = [1 -&]x0 + [0], [1 0] [1 ] [a](x0) = [0 0]x0 + [-&], [-& 0 ] [0] [c](x0) = [0 1 ]x0 + [0] orientation: a#(b(x1)) = [2 2]x1 + [2] >= [1 1]x1 + [1] = a#(c(a(x1))) a#(b(x1)) = [2 2]x1 + [2] >= [1 -&]x1 + [0] = a#(x1) [1 0] [1 ] a(x1) = [0 0]x1 + [-&] >= x1 = x1 [2 2] [2] [2 2] [2] a(b(x1)) = [1 1]x1 + [1] >= [1 1]x1 + [1] = b(a(c(a(x1)))) [1 1] [1 ] b(x1) = [0 0]x1 + [-&] >= x1 = x1 [1 2] [1] [1 1] [1 ] c(c(c(x1))) = [2 3]x1 + [2] >= [0 0]x1 + [-&] = b(x1) problem: DPs: TRS: a(x1) -> x1 a(b(x1)) -> b(a(c(a(x1)))) b(x1) -> x1 c(c(c(x1))) -> b(x1) Qed
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