Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487084700
details
property
value
status
complete
benchmark
size-12-alpha-3-num-451.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.0891 seconds
cpu usage
176.339
user time
173.114
system time
3.22553
max virtual memory
1.1641564E7
max residence set size
101852.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(x1)) a(c(b(x1))) -> b(a(a(c(x1)))) b(b(x1)) -> x1 Proof: DP Processor: DPs: a#(x1) -> b#(c(x1)) a#(c(b(x1))) -> a#(c(x1)) a#(c(b(x1))) -> a#(a(c(x1))) a#(c(b(x1))) -> b#(a(a(c(x1)))) TRS: a(x1) -> b(c(x1)) a(c(b(x1))) -> b(a(a(c(x1)))) b(b(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(c(x1)) a#(c(b(x1))) -> a#(c(x1)) a#(c(b(x1))) -> a#(a(c(x1))) a#(c(b(x1))) -> b#(a(a(c(x1)))) TRS: a(x1) -> b(c(x1)) a(c(b(x1))) -> b(a(a(c(x1)))) b(b(x1)) -> x1 graph: a#(c(b(x1))) -> a#(c(x1)) -> a#(c(b(x1))) -> b#(a(a(c(x1)))) a#(c(b(x1))) -> a#(c(x1)) -> a#(c(b(x1))) -> a#(a(c(x1))) a#(c(b(x1))) -> a#(c(x1)) -> a#(c(b(x1))) -> a#(c(x1)) a#(c(b(x1))) -> a#(c(x1)) -> a#(x1) -> b#(c(x1)) a#(c(b(x1))) -> a#(a(c(x1))) -> a#(c(b(x1))) -> b#(a(a(c(x1)))) a#(c(b(x1))) -> a#(a(c(x1))) -> a#(c(b(x1))) -> a#(a(c(x1))) a#(c(b(x1))) -> a#(a(c(x1))) -> a#(c(b(x1))) -> a#(c(x1)) a#(c(b(x1))) -> a#(a(c(x1))) -> a#(x1) -> b#(c(x1)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: a#(c(b(x1))) -> a#(c(x1)) a#(c(b(x1))) -> a#(a(c(x1))) TRS: a(x1) -> b(c(x1)) a(c(b(x1))) -> b(a(a(c(x1)))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(x1)) a(c(b(x1))) -> b(a(a(c(x1)))) b(b(x1)) -> x1 interpretation: [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0], [a#](x0) = [0 1]x0 + [0], [0 1 ] [1] [a](x0) = [-& 0 ]x0 + [0], [1 0 ] [1 ] [b](x0) = [0 -&]x0 + [-&] orientation: a#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(c(x1)) a#(c(b(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(c(x1))) [0 1 ] [1] [0 1 ] [1] a(x1) = [-& 0 ]x1 + [0] >= [-& 0 ]x1 + [0] = b(c(x1)) [2 1] [2] [2 1] [2] a(c(b(x1))) = [1 0]x1 + [1] >= [1 0]x1 + [1] = b(a(a(c(x1)))) [2 1] [2] b(b(x1)) = [1 0]x1 + [1] >= x1 = x1 problem: DPs: TRS: a(x1) -> b(c(x1)) a(c(b(x1))) -> b(a(a(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