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SRS Relative pair #487521284
details
property
value
status
complete
benchmark
random-142.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
3.99819779396 seconds
cpu usage
14.876578631
max memory
1.542889472E9
stage attributes
key
value
output-size
2034
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: a(a(b(x1))) -> a(c(b(x1))) c(c(c(x1))) -> a(b(a(x1))) b(c(b(x1))) -> b(a(c(x1))) weak: b(b(c(x1))) -> c(a(b(x1))) b(b(b(x1))) -> a(b(b(x1))) b(b(c(x1))) -> b(c(c(x1))) b(a(a(x1))) -> a(c(c(x1))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [a](x0) = [0 0]x0, [1 1] [0] [b](x0) = [0 0]x0 + [1], [c](x0) = x0 orientation: [1 1] [1 1] a(a(b(x1))) = [0 0]x1 >= [0 0]x1 = a(c(b(x1))) [1 0] c(c(c(x1))) = x1 >= [0 0]x1 = a(b(a(x1))) [1 1] [1] [1 0] [0] b(c(b(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [1] = b(a(c(x1))) [1 1] [1] [1 1] b(b(c(x1))) = [0 0]x1 + [1] >= [0 0]x1 = c(a(b(x1))) [1 1] [2] [1 1] [1] b(b(b(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [0] = a(b(b(x1))) [1 1] [1] [1 1] [0] b(b(c(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [1] = b(c(c(x1))) [1 0] [0] [1 0] b(a(a(x1))) = [0 0]x1 + [1] >= [0 0]x1 = a(c(c(x1))) problem: strict: a(a(b(x1))) -> a(c(b(x1))) c(c(c(x1))) -> a(b(a(x1))) weak: b(a(a(x1))) -> a(c(c(x1))) Matrix Interpretation Processor: dim=1 interpretation: [a](x0) = 2x0 + 8, [b](x0) = 2x0 + 2, [c](x0) = 2x0 + 7 orientation: a(a(b(x1))) = 8x1 + 32 >= 8x1 + 30 = a(c(b(x1))) c(c(c(x1))) = 8x1 + 49 >= 8x1 + 44 = a(b(a(x1))) b(a(a(x1))) = 8x1 + 50 >= 8x1 + 50 = a(c(c(x1))) problem: strict: weak: b(a(a(x1))) -> a(c(c(x1))) Qed
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