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TRS Stand 20472 pair #381711189
details
property
value
status
complete
benchmark
#3.47.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.48521900177 seconds
cpu usage
0.732763582
max memory
1.25415424E8
stage attributes
key
value
output-size
1517
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: f(x,c(y)) -> f(x,s(f(y,y))) f(s(x),y) -> f(x,s(c(y))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [s](x0) = [0 1 0]x0 + [1] [0 0 0] [0], [1 1 0] [1 0 1] [0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [1] [0 0 0] [0 0 0] [0], [1 0 1] [c](x0) = [0 0 0]x0 [1 1 0] orientation: [1 1 0] [2 1 1] [0] [1 1 0] [2 1 1] [0] f(x,c(y)) = [0 0 0]x + [0 0 0]y + [1] >= [0 0 0]x + [0 0 0]y + [1] = f(x,s(f(y,y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 0] [1 0 1] [1] [1 1 0] [1 0 1] [0] f(s(x),y) = [0 0 0]x + [0 0 0]y + [1] >= [0 0 0]x + [0 0 0]y + [1] = f(x,s(c(y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] problem: f(x,c(y)) -> f(x,s(f(y,y))) Matrix Interpretation Processor: dim=1 interpretation: [s](x0) = x0 + 1, [f](x0, x1) = 2x0 + x1 + 1, [c](x0) = 3x0 + 7 orientation: f(x,c(y)) = 2x + 3y + 8 >= 2x + 3y + 3 = f(x,s(f(y,y))) problem: Qed
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