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SRS Standard pair #487085534
details
property
value
status
complete
benchmark
size-12-alpha-3-num-131.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.642 seconds
cpu usage
166.997
user time
164.144
system time
2.85281
max virtual memory
1.1441712E7
max residence set size
101904.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> x1 a(c(x1)) -> c(c(a(a(b(x1))))) b(b(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> x1 c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 DP Processor: DPs: c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> a#(a(c(c(x1)))) c#(a(x1)) -> b#(a(a(c(c(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> x1 c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 TDG Processor: DPs: c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> a#(a(c(c(x1)))) c#(a(x1)) -> b#(a(a(c(c(x1))))) TRS: a(x1) -> x1 b(a(x1)) -> x1 c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 graph: c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> b#(a(a(c(c(x1))))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> a#(a(c(c(x1)))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(c(x1)) -> c#(a(x1)) -> c#(x1) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> b#(a(a(c(c(x1))))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(a(c(c(x1)))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> a#(c(c(x1))) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(x1) -> c#(a(x1)) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(x1) TRS: a(x1) -> x1 b(a(x1)) -> x1 c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> x1 c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 interpretation: [-& 0 ] [0] [b](x0) = [0 1 ]x0 + [0], [c#](x0) = [1 0]x0, [1 0] [0 ] [a](x0) = [0 0]x0 + [-&], [0 -&] [-&] [c](x0) = [1 0 ]x0 + [0 ] orientation: c#(a(x1)) = [2 1]x1 + [1] >= [1 0]x1 + [0] = c#(c(x1)) c#(a(x1)) = [2 1]x1 + [1] >= [1 0]x1 = c#(x1) [1 0] [0 ] a(x1) = [0 0]x1 + [-&] >= x1 = x1 [0 0] [0] b(a(x1)) = [1 1]x1 + [0] >= x1 = x1 [1 0] [0] [1 0] [0] c(a(x1)) = [2 1]x1 + [1] >= [2 1]x1 + [1] = b(a(a(c(c(x1))))) [0 1] [0] b(b(x1)) = [1 2]x1 + [1] >= x1 = x1 problem: DPs: TRS: a(x1) -> x1
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