Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487085474
details
property
value
status
complete
benchmark
size-12-alpha-3-num-104.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
45.7616 seconds
cpu usage
179.358
user time
176.061
system time
3.29769
max virtual memory
1.1828212E7
max residence set size
101884.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(b(x1))) -> b(a(b(a(x1)))) b(b(x1)) -> c(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(b(a(b(x1)))) b(b(x1)) -> a(c(x1)) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> a#(b(x1)) b#(a(a(x1))) -> b#(a(b(x1))) b#(a(a(x1))) -> a#(b(a(b(x1)))) b#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(a(b(x1)))) b(b(x1)) -> a(c(x1)) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> a#(b(x1)) b#(a(a(x1))) -> b#(a(b(x1))) b#(a(a(x1))) -> a#(b(a(b(x1)))) b#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(a(b(x1)))) b(b(x1)) -> a(c(x1)) graph: b#(a(a(x1))) -> b#(a(b(x1))) -> b#(b(x1)) -> a#(c(x1)) b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> a#(b(a(b(x1)))) b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> b#(a(b(x1))) b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> a#(b(x1)) b#(a(a(x1))) -> b#(a(b(x1))) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(c(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(a(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(a(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(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#(a(b(x1))) b#(a(a(x1))) -> b#(x1) TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(a(b(x1)))) b(b(x1)) -> a(c(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(b(a(b(x1)))) b(b(x1)) -> a(c(x1)) interpretation: [b#](x0) = [-& 1 ]x0 + [0], [-& 1 ] [0] [b](x0) = [-& 0 ]x0 + [1], [0 2] [2] [a](x0) = [0 0]x0 + [0], [1 ] [c](x0) = [-&] orientation: b#(a(a(x1))) = [1 3]x1 + [3] >= [-& 2 ]x1 + [2] = b#(a(b(x1))) b#(a(a(x1))) = [1 3]x1 + [3] >= [-& 1 ]x1 + [0] = b#(x1) [0 2] [2] a(x1) = [0 0]x1 + [0] >= x1 = x1 [1 3] [3] [-& 3 ] [3] b(a(a(x1))) = [0 2]x1 + [2] >= [-& 2 ]x1 + [2] = a(b(a(b(x1)))) [-& 1 ] [2] [2] b(b(x1)) = [-& 0 ]x1 + [1] >= [1] = a(c(x1)) problem: DPs: TRS: a(x1) -> x1 b(a(a(x1))) -> a(b(a(b(x1)))) b(b(x1)) -> a(c(x1)) Qed
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard