Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381714202
details
property
value
status
complete
benchmark
z26.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.623106956482 seconds
cpu usage
1.26249421
max memory
2.14306816E8
stage attributes
key
value
output-size
2551
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a(a(f(x,y))) -> f(a(b(a(b(a(x))))),a(b(a(b(a(y)))))) f(a(x),a(y)) -> a(f(x,y)) f(b(x),b(y)) -> b(f(x,y)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [b](x0) = [0 0 0]x0 [0 0 0] , [1 1 0] [0] [a](x0) = [0 0 1]x0 + [1] [0 0 1] [0], [1 0 0] [0] [f](x0, x1) = [0 1 0]x0 + x1 + [0] [0 0 0] [1] orientation: [1 1 0] [1 1 1] [2] [1 1 0] [1 1 0] [0] a(a(f(x,y))) = [0 0 0]x + [0 0 1]y + [2] >= [0 0 0]x + [0 0 0]y + [2] = f(a(b(a(b(a(x))))),a(b(a(b(a(y)))))) [0 0 0] [0 0 1] [1] [0 0 0] [0 0 0] [1] [1 1 0] [1 1 0] [0] [1 1 0] [1 1 0] [0] f(a(x),a(y)) = [0 0 1]x + [0 0 1]y + [2] >= [0 0 0]x + [0 0 1]y + [2] = a(f(x,y)) [0 0 0] [0 0 1] [1] [0 0 0] [0 0 1] [1] [1 0 0] [1 0 0] [0] [1 0 0] [1 0 0] f(b(x),b(y)) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y = b(f(x,y)) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] problem: f(a(x),a(y)) -> a(f(x,y)) f(b(x),b(y)) -> b(f(x,y)) Matrix Interpretation Processor: dim=1 interpretation: [b](x0) = x0 + 1, [a](x0) = x0, [f](x0, x1) = x0 + x1 + 1 orientation: f(a(x),a(y)) = x + y + 1 >= x + y + 1 = a(f(x,y)) f(b(x),b(y)) = x + y + 3 >= x + y + 2 = b(f(x,y)) problem: f(a(x),a(y)) -> a(f(x,y)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [a](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [1 0 1] [f](x0, x1) = [1 0 1]x0 + [0 0 0]x1 [0 0 1] [0 0 0] orientation: [1 0 1] [1 0 1] [1] [1 0 1] [1 0 1] [0] f(a(x),a(y)) = [1 0 1]x + [0 0 0]y + [1] >= [0 0 0]x + [0 0 0]y + [0] = a(f(x,y)) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] problem: Qed
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472