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SRS Standard pair #487092122
details
property
value
status
complete
benchmark
size-11-alpha-3-num-19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.3637 seconds
cpu usage
166.152
user time
163.353
system time
2.7987
max virtual memory
1.1439412E7
max residence set size
100312.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(a(c(x1))))) b(x1) -> x1 c(c(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(c(x1)) -> x1 DP Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> a#(a(b(b(x1)))) b#(a(x1)) -> c#(a(a(b(b(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(c(x1)) -> x1 TDG Processor: DPs: b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> a#(a(b(b(x1)))) b#(a(x1)) -> c#(a(a(b(b(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(c(x1)) -> x1 graph: b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(b(b(x1)))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(b(x1)))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(a(b(b(x1))))) b(x1) -> x1 c(c(x1)) -> x1 interpretation: [b#](x0) = [0 2]x0 + [0], [0 2 ] [0 ] [b](x0) = [-& 0 ]x0 + [-&], [0 0] [0] [a](x0) = [0 2]x0 + [0], [0 0 ] [2] [c](x0) = [0 -&]x0 + [0] orientation: b#(a(x1)) = [2 4]x1 + [2] >= [0 2]x1 + [0] = b#(b(x1)) b#(a(x1)) = [2 4]x1 + [2] >= [0 2]x1 + [0] = b#(x1) [0 0] [0] a(x1) = [0 2]x1 + [0] >= x1 = x1 [2 4] [2] [2 4] [2] b(a(x1)) = [0 2]x1 + [0] >= [0 2]x1 + [0] = c(a(a(b(b(x1))))) [0 2 ] [0 ] b(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 [0 0] [2] c(c(x1)) = [0 0]x1 + [2] >= x1 = x1 problem: DPs: TRS: a(x1) -> x1
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