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SRS Standard pair #487084898
details
property
value
status
complete
benchmark
size-12-alpha-3-num-535.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
41.8626 seconds
cpu usage
163.738
user time
161.27
system time
2.46854
max virtual memory
1.1468068E7
max residence set size
132532.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(b(x1))) -> c(a(c(a(a(x1))))) a(c(x1)) -> b(a(x1)) Proof: String Reversal Processor: b(a(a(x1))) -> a(a(c(a(c(x1))))) c(a(x1)) -> a(b(x1)) DP Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(a(c(x1))) c#(a(x1)) -> b#(x1) TRS: b(a(a(x1))) -> a(a(c(a(c(x1))))) c(a(x1)) -> a(b(x1)) TDG Processor: DPs: b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(a(c(x1))) c#(a(x1)) -> b#(x1) TRS: b(a(a(x1))) -> a(a(c(a(c(x1))))) c(a(x1)) -> a(b(x1)) graph: c#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(a(c(x1))) c#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> c#(x1) b#(a(a(x1))) -> c#(a(c(x1))) -> c#(a(x1)) -> b#(x1) b#(a(a(x1))) -> c#(x1) -> c#(a(x1)) -> b#(x1) Matrix Interpretation Processor: dim=4 interpretation: [c#](x0) = [0 0 1 0]x0, [0 0 1 0] [1] [0 0 0 0] [0] [a](x0) = [0 0 0 1]x0 + [0] [1 0 0 0] [0], [b#](x0) = [0 0 0 1]x0, [0 0 0 1] [0 0 0 1] [b](x0) = [0 0 0 1]x0 [0 0 0 1] , [0 0 1 0] [1] [1 0 0 0] [0] [c](x0) = [0 0 1 0]x0 + [0] [0 0 1 0] [0] orientation: b#(a(a(x1))) = [0 0 1 0]x1 + [1] >= [0 0 1 0]x1 = c#(x1) b#(a(a(x1))) = [0 0 1 0]x1 + [1] >= [0 0 1 0]x1 = c#(a(c(x1))) c#(a(x1)) = [0 0 0 1]x1 >= [0 0 0 1]x1 = b#(x1) [0 0 1 0] [1] [0 0 1 0] [1] [0 0 1 0] [1] [0 0 0 0] [0] b(a(a(x1))) = [0 0 1 0]x1 + [1] >= [0 0 1 0]x1 + [1] = a(a(c(a(c(x1))))) [0 0 1 0] [1] [0 0 1 0] [1] [0 0 0 1] [1] [0 0 0 1] [1] [0 0 1 0] [1] [0 0 0 0] [0] c(a(x1)) = [0 0 0 1]x1 + [0] >= [0 0 0 1]x1 + [0] = a(b(x1)) [0 0 0 1] [0] [0 0 0 1] [0] problem: DPs: c#(a(x1)) -> b#(x1) TRS: b(a(a(x1))) -> a(a(c(a(c(x1))))) c(a(x1)) -> a(b(x1)) Restore Modifier: DPs: c#(a(x1)) -> b#(x1) TRS: b(a(a(x1))) -> a(a(c(a(c(x1))))) c(a(x1)) -> a(b(x1)) EDG Processor: DPs: c#(a(x1)) -> b#(x1) TRS: b(a(a(x1))) -> a(a(c(a(c(x1))))) c(a(x1)) -> a(b(x1)) graph: SCC Processor: #sccs: 0 #rules: 0 #arcs: 0/1
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