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TRS Relative pair #487520573
details
property
value
status
complete
benchmark
#3.26_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.7157227993 seconds
cpu usage
9.579668759
max memory
1.434853376E9
stage attributes
key
value
output-size
2610
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: f(x) -> s(x) f(s(s(x))) -> s(f(f(x))) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: String Reversal Processor: strict: f(x) -> s(x) s(s(f(x))) -> f(f(s(x))) weak: rand(x) -> x rand(x) -> s(rand(x)) Arctic Interpretation Processor: dimension: 1 interpretation: [s](x0) = x0, [f](x0) = x0, [rand](x0) = 3x0 orientation: f(x) = x >= x = s(x) s(s(f(x))) = x >= x = f(f(s(x))) rand(x) = 3x >= x = x rand(x) = 3x >= 3x = s(rand(x)) problem: strict: f(x) -> s(x) s(s(f(x))) -> f(f(s(x))) weak: rand(x) -> s(rand(x)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 2] [s](x0) = [0 1 1]x0 [0 1 0] , [1 0 2] [0] [f](x0) = [0 1 1]x0 + [1] [0 1 0] [0], [2 3 0] [1] [rand](x0) = [0 0 0]x0 + [0] [0 0 0] [0] orientation: [1 0 2] [0] [1 0 2] f(x) = [0 1 1]x + [1] >= [0 1 1]x = s(x) [0 1 0] [0] [0 1 0] [1 4 4] [2] [1 4 4] [0] s(s(f(x))) = [0 3 2]x + [2] >= [0 3 2]x + [2] = f(f(s(x))) [0 2 1] [1] [0 2 1] [1] [2 3 0] [1] [2 3 0] [1] rand(x) = [0 0 0]x + [0] >= [0 0 0]x + [0] = s(rand(x)) [0 0 0] [0] [0 0 0] [0] problem: strict: f(x) -> s(x) weak: rand(x) -> s(rand(x)) Arctic Interpretation Processor: dimension: 3 interpretation: [0 -& 0 ] [s](x0) = [-& -& -&]x0 [-& -& -&] , [3 0 3] [f](x0) = [0 0 0]x0 [0 0 0] , [0 0 0] [rand](x0) = [0 0 0]x0 [0 0 0] orientation: [3 0 3] [0 -& 0 ] f(x) = [0 0 0]x >= [-& -& -&]x = s(x) [0 0 0] [-& -& -&] [0 0 0] [0 0 0 ] rand(x) = [0 0 0]x >= [-& -& -&]x = s(rand(x)) [0 0 0] [-& -& -&] problem:
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