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TRS Relat 75837 pair #381724941
details
property
value
status
complete
benchmark
#3.56_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n084.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
4.40480899811 seconds
cpu usage
16.277198269
max memory
8.82970624E8
stage attributes
key
value
output-size
5102
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: g(c(x,s(y))) -> g(c(s(x),y)) f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) f(x) -> x weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [0] [rand](x0) = [0 2]x0 + [1], [1 0] [d](x0) = [0 0]x0, [1] [f](x0) = x0 + [0], [2 0] [2] [g](x0) = [2 0]x0 + [1], [1 0] [1 0] [c](x0, x1) = [0 0]x0 + [0 2]x1, [1 0] [s](x0) = [0 0]x0 orientation: [2 0] [2 0] [2] [2 0] [2 0] [2] g(c(x,s(y))) = [2 0]x + [2 0]y + [1] >= [2 0]x + [2 0]y + [1] = g(c(s(x),y)) [1 0] [1 0] [1] [1 0] [1 0] [1] f(c(s(x),y)) = [0 0]x + [0 2]y + [0] >= [0 0]x + [0 0]y + [0] = f(c(x,s(y))) [2] [1 0] [2] f(f(x)) = x + [0] >= [0 0]x + [0] = f(d(f(x))) [1] f(x) = x + [0] >= x = x [1 0] [0] rand(x) = [0 2]x + [1] >= x = x [1 0] [0] [1 0] [0] rand(x) = [0 2]x + [1] >= [0 0]x + [1] = rand(s(x)) problem: strict: g(c(x,s(y))) -> g(c(s(x),y)) f(c(s(x),y)) -> f(c(x,s(y))) f(f(x)) -> f(d(f(x))) weak: rand(x) -> x rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [2 0] [1] [rand](x0) = [2 1]x0 + [1], [1 0] [d](x0) = [0 0]x0, [1 1] [f](x0) = [1 1]x0, [1 0] [3] [g](x0) = [2 0]x0 + [0], [1 0] [1 0] [0] [c](x0, x1) = [2 2]x0 + [0 0]x1 + [1], [s](x0) = x0 orientation: [1 0] [1 0] [3] [1 0] [1 0] [3] g(c(x,s(y))) = [2 0]x + [2 0]y + [0] >= [2 0]x + [2 0]y + [0] = g(c(s(x),y)) [3 2] [1 0] [1] [3 2] [1 0] [1] f(c(s(x),y)) = [3 2]x + [1 0]y + [1] >= [3 2]x + [1 0]y + [1] = f(c(x,s(y))) [2 2] [1 1] f(f(x)) = [2 2]x >= [1 1]x = f(d(f(x))) [2 0] [1] rand(x) = [2 1]x + [1] >= x = x [2 0] [1] [2 0] [1] rand(x) = [2 1]x + [1] >= [2 1]x + [1] = rand(s(x))
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