Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Relat 75837 pair #381724995
details
property
value
status
complete
benchmark
#3.15_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.3062582016 seconds
cpu usage
7.978943963
max memory
9.64431872E8
stage attributes
key
value
output-size
4416
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: average(s(x),y) -> average(x,s(y)) average(x,s(s(s(y)))) -> s(average(s(x),y)) average(0(),0()) -> 0() average(0(),s(0())) -> 0() average(0(),s(s(0()))) -> s(0()) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 2] [2] [rand](x0) = [0 1]x0 + [0], [0] [0] = [0], [1 2] [1 2] [2] [average](x0, x1) = [0 0]x0 + [0 0]x1 + [0], [1 2] [s](x0) = [0 0]x0 orientation: [1 2] [1 2] [2] [1 2] [1 2] [2] average(s(x),y) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = average(x,s(y)) [1 2] [1 2] [2] [1 2] [1 2] [2] average(x,s(s(s(y)))) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = s(average(s(x),y)) [2] [0] average(0(),0()) = [0] >= [0] = 0() [2] [0] average(0(),s(0())) = [0] >= [0] = 0() [2] [0] average(0(),s(s(0()))) = [0] >= [0] = s(0()) [1 2] [2] rand(x) = [0 1]x + [0] >= x = x [1 2] [2] [1 2] [2] rand(x) = [0 1]x + [0] >= [0 0]x + [0] = rand(s(x)) problem: strict: average(s(x),y) -> average(x,s(y)) average(x,s(s(s(y)))) -> s(average(s(x),y)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [0] [rand](x0) = [2 0]x0 + [1], [1 1] [1 1] [average](x0, x1) = [0 2]x0 + [0 1]x1, [0] [s](x0) = x0 + [1] orientation: [1 1] [1 1] [1] [1 1] [1 1] [1] average(s(x),y) = [0 2]x + [0 1]y + [2] >= [0 2]x + [0 1]y + [1] = average(x,s(y)) [1 1] [1 1] [3] [1 1] [1 1] [1] average(x,s(s(s(y)))) = [0 2]x + [0 1]y + [3] >= [0 2]x + [0 1]y + [3] = s(average(s(x),y)) [1 0] [0] [1 0] [0] rand(x) = [2 0]x + [1] >= [2 0]x + [1] = rand(s(x)) problem: strict: average(s(x),y) -> average(x,s(y)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=5 interpretation: [1 0 1 0 0] [1] [0 0 1 0 0] [0] [rand](x0) = [0 0 0 1 0]x0 + [0] [0 0 0 0 0] [0] [0 0 0 0 0] [0], [1 1 0 0 1] [1 0 1 0 0] [0] [1 0 1 0 1] [0 0 1 1 0] [0] [average](x0, x1) = [1 0 1 1 0]x0 + [0 0 1 1 0]x1 + [1] [0 0 0 1 1] [0 1 0 0 0] [1] [0 0 0 0 0] [1 0 1 0 0] [0],
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Relat 75837