Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487085270
details
property
value
status
complete
benchmark
size-12-alpha-3-num-15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.1448 seconds
cpu usage
165.122
user time
162.499
system time
2.62237
max virtual memory
1.1633224E7
max residence set size
101824.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(x1) -> b(x1) a(c(b(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) Proof: DP Processor: DPs: a#(c(b(x1))) -> a#(x1) a#(c(b(x1))) -> a#(a(x1)) a#(c(b(x1))) -> c#(a(a(x1))) a#(c(b(x1))) -> c#(c(a(a(x1)))) TRS: a(x1) -> x1 a(x1) -> b(x1) a(c(b(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) TDG Processor: DPs: a#(c(b(x1))) -> a#(x1) a#(c(b(x1))) -> a#(a(x1)) a#(c(b(x1))) -> c#(a(a(x1))) a#(c(b(x1))) -> c#(c(a(a(x1)))) TRS: a(x1) -> x1 a(x1) -> b(x1) a(c(b(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) graph: a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> c#(c(a(a(x1)))) a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> c#(a(a(x1))) a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> a#(a(x1)) a#(c(b(x1))) -> a#(a(x1)) -> a#(c(b(x1))) -> a#(x1) a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> c#(c(a(a(x1)))) a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> c#(a(a(x1))) a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> a#(a(x1)) a#(c(b(x1))) -> a#(x1) -> a#(c(b(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: a#(c(b(x1))) -> a#(a(x1)) a#(c(b(x1))) -> a#(x1) TRS: a(x1) -> x1 a(x1) -> b(x1) a(c(b(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 a(x1) -> b(x1) a(c(b(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) interpretation: [0 0 ] [b](x0) = [-& 0 ]x0, [a#](x0) = [0 1]x0, [0 0 ] [a](x0) = [-& 0 ]x0, [0 0] [c](x0) = [1 0]x0 orientation: a#(c(b(x1))) = [2 2]x1 >= [0 1]x1 = a#(a(x1)) a#(c(b(x1))) = [2 2]x1 >= [0 1]x1 = a#(x1) [0 0 ] a(x1) = [-& 0 ]x1 >= x1 = x1 [0 0 ] [0 0 ] a(x1) = [-& 0 ]x1 >= [-& 0 ]x1 = b(x1) [1 1] [1 1] a(c(b(x1))) = [1 1]x1 >= [1 1]x1 = c(c(a(a(x1)))) [0 0] [0 0 ] c(x1) = [1 0]x1 >= [-& 0 ]x1 = b(x1) problem: DPs: TRS: a(x1) -> x1 a(x1) -> b(x1) a(c(b(x1))) -> c(c(a(a(x1)))) c(x1) -> b(x1) Qed
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard