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SRS Standard pair #487085312
details
property
value
status
complete
benchmark
size-12-alpha-3-num-202.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.2122 seconds
cpu usage
173.122
user time
169.594
system time
3.52737
max virtual memory
1.1248104E7
max residence set size
89392.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> b(b(a(c(x1)))) b(x1) -> a(c(x1)) c(c(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> c(a(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)) -> c#(a(b(b(x1)))) b#(x1) -> a#(x1) b#(x1) -> c#(a(x1)) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> c(a(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)) -> c#(a(b(b(x1)))) b#(x1) -> a#(x1) b#(x1) -> c#(a(x1)) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> c(a(x1)) c(c(x1)) -> x1 graph: b#(a(x1)) -> b#(b(x1)) -> b#(x1) -> c#(a(x1)) b#(a(x1)) -> b#(b(x1)) -> b#(x1) -> a#(x1) b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(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#(x1) -> c#(a(x1)) b#(a(x1)) -> b#(x1) -> b#(x1) -> a#(x1) b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(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: 12/36 DPs: b#(a(x1)) -> b#(b(x1)) b#(a(x1)) -> b#(x1) TRS: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> c(a(x1)) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(x1)) -> c(a(b(b(x1)))) b(x1) -> c(a(x1)) c(c(x1)) -> x1 interpretation: [b#](x0) = [0 0]x0 + [0], [1 0] [1] [b](x0) = [2 1]x0 + [2], [2 1] [2] [a](x0) = [1 0]x0 + [1], [-& 0 ] [0] [c](x0) = [0 1 ]x0 + [0] orientation: b#(a(x1)) = [2 1]x1 + [2] >= [2 1]x1 + [2] = b#(b(x1)) b#(a(x1)) = [2 1]x1 + [2] >= [0 0]x1 + [0] = b#(x1) [2 1] [2] a(x1) = [1 0]x1 + [1] >= x1 = x1 [3 2] [3] [3 2] [3] b(a(x1)) = [4 3]x1 + [4] >= [4 3]x1 + [4] = c(a(b(b(x1)))) [1 0] [1] [1 0] [1] b(x1) = [2 1]x1 + [2] >= [2 1]x1 + [2] = c(a(x1)) [0 1] [0] c(c(x1)) = [1 2]x1 + [1] >= x1 = x1 problem:
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