Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487083584
details
property
value
status
complete
benchmark
size-12-alpha-3-num-341.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
44.6795 seconds
cpu usage
174.296
user time
171.413
system time
2.88313
max virtual memory
1.1633324E7
max residence set size
131392.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(a(c(x1))) -> c(a(c(a(a(x1))))) c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(a(c(x1))) -> a#(x1) a#(a(c(x1))) -> a#(a(x1)) a#(a(c(x1))) -> c#(a(a(x1))) a#(a(c(x1))) -> a#(c(a(a(x1)))) a#(a(c(x1))) -> c#(a(c(a(a(x1))))) TRS: a(x1) -> b(x1) a(a(c(x1))) -> c(a(c(a(a(x1))))) c(c(x1)) -> x1 TDG Processor: DPs: a#(a(c(x1))) -> a#(x1) a#(a(c(x1))) -> a#(a(x1)) a#(a(c(x1))) -> c#(a(a(x1))) a#(a(c(x1))) -> a#(c(a(a(x1)))) a#(a(c(x1))) -> c#(a(c(a(a(x1))))) TRS: a(x1) -> b(x1) a(a(c(x1))) -> c(a(c(a(a(x1))))) c(c(x1)) -> x1 graph: a#(a(c(x1))) -> a#(c(a(a(x1)))) -> a#(a(c(x1))) -> c#(a(c(a(a(x1))))) a#(a(c(x1))) -> a#(c(a(a(x1)))) -> a#(a(c(x1))) -> a#(c(a(a(x1)))) a#(a(c(x1))) -> a#(c(a(a(x1)))) -> a#(a(c(x1))) -> c#(a(a(x1))) a#(a(c(x1))) -> a#(c(a(a(x1)))) -> a#(a(c(x1))) -> a#(a(x1)) a#(a(c(x1))) -> a#(c(a(a(x1)))) -> a#(a(c(x1))) -> a#(x1) a#(a(c(x1))) -> a#(a(x1)) -> a#(a(c(x1))) -> c#(a(c(a(a(x1))))) a#(a(c(x1))) -> a#(a(x1)) -> a#(a(c(x1))) -> a#(c(a(a(x1)))) a#(a(c(x1))) -> a#(a(x1)) -> a#(a(c(x1))) -> c#(a(a(x1))) a#(a(c(x1))) -> a#(a(x1)) -> a#(a(c(x1))) -> a#(a(x1)) a#(a(c(x1))) -> a#(a(x1)) -> a#(a(c(x1))) -> a#(x1) a#(a(c(x1))) -> a#(x1) -> a#(a(c(x1))) -> c#(a(c(a(a(x1))))) a#(a(c(x1))) -> a#(x1) -> a#(a(c(x1))) -> a#(c(a(a(x1)))) a#(a(c(x1))) -> a#(x1) -> a#(a(c(x1))) -> c#(a(a(x1))) a#(a(c(x1))) -> a#(x1) -> a#(a(c(x1))) -> a#(a(x1)) a#(a(c(x1))) -> a#(x1) -> a#(a(c(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: a#(a(c(x1))) -> a#(c(a(a(x1)))) a#(a(c(x1))) -> a#(x1) a#(a(c(x1))) -> a#(a(x1)) TRS: a(x1) -> b(x1) a(a(c(x1))) -> c(a(c(a(a(x1))))) c(c(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(x1) a(a(c(x1))) -> c(a(c(a(a(x1))))) c(c(x1)) -> x1 interpretation: [0 ] [b](x0) = [-&], [a#](x0) = [0 1]x0 + [0], [-& 0 ] [0] [a](x0) = [0 -&]x0 + [0], [1 0 ] [1] [c](x0) = [0 -&]x0 + [0] orientation: a#(a(c(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(c(a(a(x1)))) a#(a(c(x1))) = [2 1]x1 + [2] >= [0 1]x1 + [0] = a#(x1) a#(a(c(x1))) = [2 1]x1 + [2] >= [1 0]x1 + [1] = a#(a(x1)) [-& 0 ] [0] [0 ] a(x1) = [0 -&]x1 + [0] >= [-&] = b(x1) [1 0 ] [1] [1 0 ] [1] a(a(c(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = c(a(c(a(a(x1))))) [2 1] [2] c(c(x1)) = [1 0]x1 + [1] >= x1 = x1 problem: DPs: a#(a(c(x1))) -> a#(x1) TRS: a(x1) -> b(x1) a(a(c(x1))) -> c(a(c(a(a(x1))))) c(c(x1)) -> x1 Restore Modifier:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard