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TRS Relat 75837 pair #381725091
details
property
value
status
complete
benchmark
ex4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.973558187485 seconds
cpu usage
2.725990185
max memory
5.84486912E8
stage attributes
key
value
output-size
2271
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: a() -> b() weak: f(s(x)) -> c(x,f(x)) c(x,c(y(),z())) -> c(y(),c(x,z())) Proof: Matrix Interpretation Processor: dim=5 interpretation: [0] [0] [z] = [0] [0] [0], [1] [1] [y] = [0] [1] [0], [1 1 0 0 0] [1 0 0 0 0] [0] [0 1 0 1 0] [0 1 0 0 0] [0] [c](x0, x1) = [1 0 0 0 0]x0 + [0 0 1 0 0]x1 + [1] [0 0 1 0 0] [0 0 0 0 0] [0] [1 1 1 0 0] [1 0 0 0 0] [0], [1 1 1 0 1] [1] [0 0 1 0 1] [0] [f](x0) = [0 0 0 0 1]x0 + [1] [1 0 0 1 0] [0] [0 1 1 1 1] [0], [1 1 0 0 0] [0] [1 1 0 0 1] [0] [s](x0) = [0 0 1 0 1]x0 + [1] [0 1 1 0 0] [0] [1 1 0 1 1] [1], [0] [0] [b] = [0] [0] [0], [1] [1] [a] = [0] [0] [0] orientation: [1] [0] [1] [0] a() = [0] >= [0] = b() [0] [0] [0] [0] [3 3 1 1 3] [3] [2 2 1 0 1] [1] [1 1 1 1 2] [2] [0 1 1 1 1] [0] f(s(x)) = [1 1 0 1 1]x + [2] >= [1 0 0 0 1]x + [2] = c(x,f(x)) [1 2 1 0 0] [0] [0 0 1 0 0] [0] [2 3 2 1 3] [2] [2 2 2 0 1] [1] [1 1 0 0 0] [2] [1 1 0 0 0] [2] [0 1 0 1 0] [2] [0 1 0 1 0] [2] c(x,c(y(),z())) = [1 0 0 0 0]x + [3] >= [1 0 0 0 0]x + [3] = c(y(),c(x,z())) [0 0 1 0 0] [0] [0 0 0 0 0] [0] [1 1 1 0 0] [2] [1 1 0 0 0] [2] problem: strict: weak: c(x,c(y(),z())) -> c(y(),c(x,z())) Qed
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return to TRS Relat 75837