Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487092146
details
property
value
status
complete
benchmark
size-11-alpha-3-num-9.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.8338 seconds
cpu usage
167.918
user time
165.289
system time
2.62913
max virtual memory
1.1261156E7
max residence set size
101884.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(c(x1)) -> c(c(a(a(b(x1))))) b(b(x1)) -> x1 Proof: String Reversal Processor: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 DP Processor: DPs: a#(x1) -> b#(x1) 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) -> b(x1) c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) 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) -> b(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) c#(a(x1)) -> a#(c(c(x1))) -> a#(x1) -> b#(x1) c#(a(x1)) -> a#(a(c(c(x1)))) -> a#(x1) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: c#(a(x1)) -> c#(c(x1)) c#(a(x1)) -> c#(x1) TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 interpretation: [0 0 ] [0] [b](x0) = [0 -&]x0 + [0], [c#](x0) = [0 1]x0 + [0], [0 0] [0] [a](x0) = [0 2]x0 + [2], [0 2 ] [0 ] [c](x0) = [-& 0 ]x0 + [-&] orientation: c#(a(x1)) = [1 3]x1 + [3] >= [0 2]x1 + [0] = c#(c(x1)) c#(a(x1)) = [1 3]x1 + [3] >= [0 1]x1 + [0] = c#(x1) [0 0] [0] [0 0 ] [0] a(x1) = [0 2]x1 + [2] >= [0 -&]x1 + [0] = b(x1) [2 4] [4] [2 4] [4] c(a(x1)) = [0 2]x1 + [2] >= [0 2]x1 + [2] = b(a(a(c(c(x1))))) [0 0] [0] b(b(x1)) = [0 0]x1 + [0] >= x1 = x1 problem: DPs: TRS: a(x1) -> b(x1) c(a(x1)) -> b(a(a(c(c(x1))))) b(b(x1)) -> x1 Qed
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard