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TRS Relat 75837 pair #381725052
details
property
value
status
complete
benchmark
#3.47_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n008.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.29605197906 seconds
cpu usage
7.956962742
max memory
7.64174336E8
stage attributes
key
value
output-size
2707
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: strict: f(x,c(y)) -> f(x,s(f(y,y))) f(s(x),y) -> f(x,s(c(y))) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [rand](x0) = [0 2]x0, [1 0] [s](x0) = [0 0]x0, [1 0] [1 2] [f](x0, x1) = [0 0]x0 + [1 2]x1, [1 2] [0] [c](x0) = [1 0]x0 + [1] orientation: [1 0] [3 2] [2] [1 0] [2 2] f(x,c(y)) = [0 0]x + [3 2]y + [2] >= [0 0]x + [2 2]y = f(x,s(f(y,y))) [1 0] [1 2] [1 0] [1 2] f(s(x),y) = [0 0]x + [1 2]y >= [0 0]x + [1 2]y = f(x,s(c(y))) [1 0] rand(x) = [0 2]x >= x = x [1 0] [1 0] rand(x) = [0 2]x >= [0 0]x = rand(s(x)) problem: strict: f(s(x),y) -> f(x,s(c(y))) weak: rand(x) -> x rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [1] [rand](x0) = [0 2]x0 + [0], [1 0] [s](x0) = [0 0]x0, [2 0] [1 0] [1] [f](x0, x1) = [0 0]x0 + [2 0]x1 + [0], [1 0] [c](x0) = [0 0]x0 orientation: [2 0] [1 0] [1] [2 0] [1 0] [1] f(s(x),y) = [0 0]x + [2 0]y + [0] >= [0 0]x + [2 0]y + [0] = f(x,s(c(y))) [1 0] [1] rand(x) = [0 2]x + [0] >= x = x [1 0] [1] [1 0] [1] rand(x) = [0 2]x + [0] >= [0 0]x + [0] = rand(s(x)) problem: strict: f(s(x),y) -> f(x,s(c(y))) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [2] [rand](x0) = [0 0]x0 + [0], [0] [s](x0) = x0 + [2], [2 1] [2 0] [0] [f](x0, x1) = [0 0]x0 + [0 0]x1 + [2], [1 0] [c](x0) = [0 2]x0 orientation: [2 1] [2 0] [2] [2 1] [2 0] [0] f(s(x),y) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(x,s(c(y))) [1 0] [2] [1 0] [2] rand(x) = [0 0]x + [0] >= [0 0]x + [0] = rand(s(x)) problem: strict:
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