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SRS Standard pair #487085018
details
property
value
status
complete
benchmark
size-12-alpha-3-num-30.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.3359 seconds
cpu usage
165.605
user time
163.142
system time
2.46309
max virtual memory
1.10628E7
max residence set size
102076.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(b(x1)) a(b(x1)) -> a(c(a(c(x1)))) c(c(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 a(x1) -> b(b(x1)) b(a(x1)) -> c(a(c(a(x1)))) c(c(x1)) -> x1 DP Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(a(x1)) -> c#(a(x1)) b#(a(x1)) -> a#(c(a(x1))) b#(a(x1)) -> c#(a(c(a(x1)))) TRS: a(x1) -> x1 a(x1) -> b(b(x1)) b(a(x1)) -> c(a(c(a(x1)))) c(c(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) b#(a(x1)) -> c#(a(x1)) b#(a(x1)) -> a#(c(a(x1))) b#(a(x1)) -> c#(a(c(a(x1)))) TRS: a(x1) -> x1 a(x1) -> b(b(x1)) b(a(x1)) -> c(a(c(a(x1)))) c(c(x1)) -> x1 graph: b#(a(x1)) -> a#(c(a(x1))) -> a#(x1) -> b#(b(x1)) b#(a(x1)) -> a#(c(a(x1))) -> a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(c(a(x1)))) a#(x1) -> b#(b(x1)) -> b#(a(x1)) -> a#(c(a(x1))) a#(x1) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(x1)) a#(x1) -> b#(x1) -> b#(a(x1)) -> c#(a(c(a(x1)))) a#(x1) -> b#(x1) -> b#(a(x1)) -> a#(c(a(x1))) a#(x1) -> b#(x1) -> b#(a(x1)) -> c#(a(x1)) SCC Processor: #sccs: 1 #rules: 3 #arcs: 8/25 DPs: b#(a(x1)) -> a#(c(a(x1))) a#(x1) -> b#(x1) a#(x1) -> b#(b(x1)) TRS: a(x1) -> x1 a(x1) -> b(b(x1)) b(a(x1)) -> c(a(c(a(x1)))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(b(x1)) b(a(x1)) -> c(a(c(a(x1)))) c(c(x1)) -> x1 interpretation: [b#](x0) = [-& 0 ]x0 + [0], [0 1 ] [b](x0) = [-& 0 ]x0, [a#](x0) = [-& 0 ]x0 + [0], [0 1] [-&] [a](x0) = [1 2]x0 + [2 ], [0 0 ] [0 ] [c](x0) = [0 -&]x0 + [-&] orientation: b#(a(x1)) = [1 2]x1 + [2] >= [0 1]x1 + [0] = a#(c(a(x1))) a#(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b#(x1) a#(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b#(b(x1)) [0 1] [-&] a(x1) = [1 2]x1 + [2 ] >= x1 = x1 [0 1] [-&] [0 1 ] a(x1) = [1 2]x1 + [2 ] >= [-& 0 ]x1 = b(b(x1)) [2 3] [3] [2 3] [3] b(a(x1)) = [1 2]x1 + [2] >= [1 2]x1 + [2] = c(a(c(a(x1)))) [0 0] [0] c(c(x1)) = [0 0]x1 + [0] >= x1 = x1 problem: DPs:
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