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SRS Standard pair #487084070
details
property
value
status
complete
benchmark
size-12-alpha-3-num-287.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.3458 seconds
cpu usage
166.289
user time
163.804
system time
2.48474
max virtual memory
1.1079532E7
max residence set size
89376.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> c(b(c(b(x1)))) b(x1) -> a(a(x1)) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(b(x1)) -> c#(b(x1)) a#(b(x1)) -> b#(c(b(x1))) a#(b(x1)) -> c#(b(c(b(x1)))) b#(x1) -> a#(x1) b#(x1) -> a#(a(x1)) TRS: a(x1) -> x1 a(b(x1)) -> c(b(c(b(x1)))) b(x1) -> a(a(x1)) c(c(x1)) -> x1 TDG Processor: DPs: a#(b(x1)) -> c#(b(x1)) a#(b(x1)) -> b#(c(b(x1))) a#(b(x1)) -> c#(b(c(b(x1)))) b#(x1) -> a#(x1) b#(x1) -> a#(a(x1)) TRS: a(x1) -> x1 a(b(x1)) -> c(b(c(b(x1)))) b(x1) -> a(a(x1)) c(c(x1)) -> x1 graph: b#(x1) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(c(b(x1)))) b#(x1) -> a#(a(x1)) -> a#(b(x1)) -> b#(c(b(x1))) b#(x1) -> a#(a(x1)) -> a#(b(x1)) -> c#(b(x1)) b#(x1) -> a#(x1) -> a#(b(x1)) -> c#(b(c(b(x1)))) b#(x1) -> a#(x1) -> a#(b(x1)) -> b#(c(b(x1))) b#(x1) -> a#(x1) -> a#(b(x1)) -> c#(b(x1)) a#(b(x1)) -> b#(c(b(x1))) -> b#(x1) -> a#(a(x1)) a#(b(x1)) -> b#(c(b(x1))) -> b#(x1) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 8/25 DPs: b#(x1) -> a#(a(x1)) a#(b(x1)) -> b#(c(b(x1))) b#(x1) -> a#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(c(b(x1)))) b(x1) -> a(a(x1)) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(b(x1)) -> c(b(c(b(x1)))) b(x1) -> a(a(x1)) c(c(x1)) -> x1 interpretation: [0 1] [2] [b](x0) = [1 2]x0 + [3], [a#](x0) = [-& 0 ]x0 + [0], [b#](x0) = [0 1]x0 + [1], [0 1 ] [0] [a](x0) = [-& 0 ]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: b#(x1) = [0 1]x1 + [1] >= [-& 0 ]x1 + [0] = a#(a(x1)) a#(b(x1)) = [1 2]x1 + [3] >= [1 2]x1 + [3] = b#(c(b(x1))) b#(x1) = [0 1]x1 + [1] >= [-& 0 ]x1 + [0] = a#(x1) [0 1 ] [0] a(x1) = [-& 0 ]x1 + [0] >= x1 = x1 [2 3] [4] [2 3] [4] a(b(x1)) = [1 2]x1 + [3] >= [1 2]x1 + [3] = c(b(c(b(x1)))) [0 1] [2] [0 1 ] [1] b(x1) = [1 2]x1 + [3] >= [-& 0 ]x1 + [0] = a(a(x1)) [0] c(c(x1)) = x1 + [0] >= x1 = x1 problem: DPs: a#(b(x1)) -> b#(c(b(x1))) TRS: a(x1) -> x1 a(b(x1)) -> c(b(c(b(x1)))) b(x1) -> a(a(x1))
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