Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487092206
details
property
value
status
complete
benchmark
size-11-alpha-3-num-8.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_size11
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.3357 seconds
cpu usage
169.567
user time
166.309
system time
3.2586
max virtual memory
1.1269868E7
max residence set size
132576.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 b(x1) -> a(x1) b(a(c(x1))) -> c(c(b(a(b(x1))))) Proof: String Reversal Processor: a(x1) -> x1 b(x1) -> a(x1) c(a(b(x1))) -> b(a(b(c(c(x1))))) DP Processor: DPs: b#(x1) -> a#(x1) c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> b#(c(c(x1))) c#(a(b(x1))) -> a#(b(c(c(x1)))) c#(a(b(x1))) -> b#(a(b(c(c(x1))))) TRS: a(x1) -> x1 b(x1) -> a(x1) c(a(b(x1))) -> b(a(b(c(c(x1))))) TDG Processor: DPs: b#(x1) -> a#(x1) c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> b#(c(c(x1))) c#(a(b(x1))) -> a#(b(c(c(x1)))) c#(a(b(x1))) -> b#(a(b(c(c(x1))))) TRS: a(x1) -> x1 b(x1) -> a(x1) c(a(b(x1))) -> b(a(b(c(c(x1))))) graph: c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> b#(a(b(c(c(x1))))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> a#(b(c(c(x1)))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> b#(c(c(x1))) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(c(x1)) -> c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> b#(a(b(c(c(x1))))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> a#(b(c(c(x1)))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> b#(c(c(x1))) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) -> c#(a(b(x1))) -> c#(x1) c#(a(b(x1))) -> b#(c(c(x1))) -> b#(x1) -> a#(x1) c#(a(b(x1))) -> b#(a(b(c(c(x1))))) -> b#(x1) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: c#(a(b(x1))) -> c#(c(x1)) c#(a(b(x1))) -> c#(x1) TRS: a(x1) -> x1 b(x1) -> a(x1) c(a(b(x1))) -> b(a(b(c(c(x1))))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(x1) -> a(x1) c(a(b(x1))) -> b(a(b(c(c(x1))))) interpretation: [0 1] [0] [b](x0) = [0 0]x0 + [3], [c#](x0) = [0 0]x0 + [2], [0 1 ] [0 ] [a](x0) = [-& 0 ]x0 + [-&], [0 0] [0] [c](x0) = [0 0]x0 + [0] orientation: c#(a(b(x1))) = [1 1]x1 + [4] >= [0 0]x1 + [2] = c#(c(x1)) c#(a(b(x1))) = [1 1]x1 + [4] >= [0 0]x1 + [2] = c#(x1) [0 1 ] [0 ] a(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 [0 1] [0] [0 1 ] [0 ] b(x1) = [0 0]x1 + [3] >= [-& 0 ]x1 + [-&] = a(x1) [1 1] [4] [1 1] [4] c(a(b(x1))) = [1 1]x1 + [4] >= [1 1]x1 + [4] = b(a(b(c(c(x1))))) problem: DPs: TRS: a(x1) -> x1 b(x1) -> a(x1) c(a(b(x1))) -> b(a(b(c(c(x1))))) Qed
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard