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SRS Relative pair #487521599
details
property
value
status
complete
benchmark
random-98.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
10.9941859245 seconds
cpu usage
42.549981893
max memory
2.126487552E9
stage attributes
key
value
output-size
38255
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: a(a(c(x1))) -> c(c(b(x1))) b(b(b(x1))) -> a(b(b(x1))) weak: b(b(a(x1))) -> a(a(c(x1))) c(c(b(x1))) -> b(b(c(x1))) b(b(a(x1))) -> a(b(b(x1))) a(b(a(x1))) -> c(b(a(x1))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 1] [0] [a](x0) = [1 0]x0 + [1], [1 1] [c](x0) = [1 0]x0, [1 1] [0] [b](x0) = [1 0]x0 + [1] orientation: [3 2] [1] [3 2] [1] a(a(c(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = c(c(b(x1))) [3 2] [2] [3 2] [2] b(b(b(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [2] = a(b(b(x1))) [3 2] [2] [3 2] [1] b(b(a(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [1] = a(a(c(x1))) [3 2] [1] [3 2] [1] c(c(b(x1))) = [2 1]x1 + [1] >= [2 1]x1 + [1] = b(b(c(x1))) [3 2] [2] [3 2] [2] b(b(a(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [2] = a(b(b(x1))) [3 2] [2] [3 2] [2] a(b(a(x1))) = [2 1]x1 + [2] >= [2 1]x1 + [1] = c(b(a(x1))) problem: strict: a(a(c(x1))) -> c(c(b(x1))) b(b(b(x1))) -> a(b(b(x1))) weak: c(c(b(x1))) -> b(b(c(x1))) b(b(a(x1))) -> a(b(b(x1))) a(b(a(x1))) -> c(b(a(x1))) Root-Labeling Processor: strict: a(a)(a(a)(a(c)(c(a)(x1)))) -> a(c)(c(c)(c(b)(b(a)(x1)))) a(a)(a(a)(a(c)(c(c)(x1)))) -> a(c)(c(c)(c(b)(b(c)(x1)))) a(a)(a(a)(a(c)(c(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(x1)))) c(a)(a(a)(a(c)(c(a)(x1)))) -> c(c)(c(c)(c(b)(b(a)(x1)))) c(a)(a(a)(a(c)(c(c)(x1)))) -> c(c)(c(c)(c(b)(b(c)(x1)))) c(a)(a(a)(a(c)(c(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(x1)))) b(a)(a(a)(a(c)(c(a)(x1)))) -> b(c)(c(c)(c(b)(b(a)(x1)))) b(a)(a(a)(a(c)(c(c)(x1)))) -> b(c)(c(c)(c(b)(b(c)(x1)))) b(a)(a(a)(a(c)(c(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(x1)))) a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(b)(b(a)(x1)))) a(b)(b(b)(b(b)(b(c)(x1)))) -> a(a)(a(b)(b(b)(b(c)(x1)))) a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(b)(b(b)(x1)))) c(b)(b(b)(b(b)(b(a)(x1)))) -> c(a)(a(b)(b(b)(b(a)(x1)))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(a)(a(b)(b(b)(b(c)(x1)))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(a)(a(b)(b(b)(b(b)(x1)))) b(b)(b(b)(b(b)(b(a)(x1)))) -> b(a)(a(b)(b(b)(b(a)(x1)))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(a)(a(b)(b(b)(b(c)(x1)))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(a)(a(b)(b(b)(b(b)(x1)))) weak: a(c)(c(c)(c(b)(b(a)(x1)))) -> a(b)(b(b)(b(c)(c(a)(x1)))) a(c)(c(c)(c(b)(b(c)(x1)))) -> a(b)(b(b)(b(c)(c(c)(x1)))) a(c)(c(c)(c(b)(b(b)(x1)))) -> a(b)(b(b)(b(c)(c(b)(x1)))) c(c)(c(c)(c(b)(b(a)(x1)))) -> c(b)(b(b)(b(c)(c(a)(x1)))) c(c)(c(c)(c(b)(b(c)(x1)))) -> c(b)(b(b)(b(c)(c(c)(x1)))) c(c)(c(c)(c(b)(b(b)(x1)))) -> c(b)(b(b)(b(c)(c(b)(x1)))) b(c)(c(c)(c(b)(b(a)(x1)))) -> b(b)(b(b)(b(c)(c(a)(x1)))) b(c)(c(c)(c(b)(b(c)(x1)))) -> b(b)(b(b)(b(c)(c(c)(x1)))) b(c)(c(c)(c(b)(b(b)(x1)))) -> b(b)(b(b)(b(c)(c(b)(x1)))) a(b)(b(b)(b(a)(a(a)(x1)))) -> a(a)(a(b)(b(b)(b(a)(x1)))) a(b)(b(b)(b(a)(a(c)(x1)))) -> a(a)(a(b)(b(b)(b(c)(x1)))) a(b)(b(b)(b(a)(a(b)(x1)))) -> a(a)(a(b)(b(b)(b(b)(x1)))) c(b)(b(b)(b(a)(a(a)(x1)))) -> c(a)(a(b)(b(b)(b(a)(x1)))) c(b)(b(b)(b(a)(a(c)(x1)))) -> c(a)(a(b)(b(b)(b(c)(x1)))) c(b)(b(b)(b(a)(a(b)(x1)))) -> c(a)(a(b)(b(b)(b(b)(x1)))) b(b)(b(b)(b(a)(a(a)(x1)))) -> b(a)(a(b)(b(b)(b(a)(x1)))) b(b)(b(b)(b(a)(a(c)(x1)))) -> b(a)(a(b)(b(b)(b(c)(x1)))) b(b)(b(b)(b(a)(a(b)(x1)))) -> b(a)(a(b)(b(b)(b(b)(x1)))) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(c)(c(b)(b(a)(a(a)(x1)))) a(a)(a(b)(b(a)(a(c)(x1)))) -> a(c)(c(b)(b(a)(a(c)(x1)))) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(c)(c(b)(b(a)(a(b)(x1)))) c(a)(a(b)(b(a)(a(a)(x1)))) -> c(c)(c(b)(b(a)(a(a)(x1)))) c(a)(a(b)(b(a)(a(c)(x1)))) -> c(c)(c(b)(b(a)(a(c)(x1))))
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