Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487084280
details
property
value
status
complete
benchmark
size-12-alpha-3-num-108.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.9959 seconds
cpu usage
180.655
user time
176.319
system time
4.33606
max virtual memory
1.16347E7
max residence set size
101856.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(b(x1))) -> b(b(a(a(x1)))) b(x1) -> c(c(a(x1))) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(c(c(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(x1) -> a#(c(c(x1))) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) graph: b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(c(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(c(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) interpretation: [b#](x0) = [0 0]x0, [0 -&] [-&] [b](x0) = [1 0 ]x0 + [0 ], [0 0] [-&] [a](x0) = [1 0]x0 + [0 ], [0 -&] [c](x0) = [0 -&]x0 orientation: b#(a(a(x1))) = [1 1]x1 + [0] >= [1 0]x1 + [0] = b#(b(x1)) b#(a(a(x1))) = [1 1]x1 + [0] >= [0 0]x1 = b#(x1) [0 0] [-&] a(x1) = [1 0]x1 + [0 ] >= x1 = x1 [1 0] [0] [1 0] [0] b(a(a(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = a(a(b(b(x1)))) [0 -&] [-&] [0 -&] [-&] b(x1) = [1 0 ]x1 + [0 ] >= [1 -&]x1 + [0 ] = a(c(c(x1))) problem: DPs: b#(a(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1))) Restore Modifier: DPs: b#(a(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(x1)))) b(x1) -> a(c(c(x1)))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard