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TRS Standard pair #516966139
details
property
value
status
complete
benchmark
gen-14.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
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.93668794632 seconds
cpu usage
6.168011917
max memory
1.033375744E9
stage attributes
key
value
output-size
3367
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: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z))))) c(f(f(c(x,a(),z))),a(),y) -> b(y,f(b(a(),z))) b(b(c(b(a(),a()),a(),z),f(a())),y) -> z Proof: DP Processor: DPs: b#(f(b(x,z)),y) -> b#(y,z) b#(f(b(x,z)),y) -> b#(z,b(y,z)) c#(f(f(c(x,a(),z))),a(),y) -> b#(a(),z) c#(f(f(c(x,a(),z))),a(),y) -> b#(y,f(b(a(),z))) TRS: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z))))) c(f(f(c(x,a(),z))),a(),y) -> b(y,f(b(a(),z))) b(b(c(b(a(),a()),a(),z),f(a())),y) -> z TDG Processor: DPs: b#(f(b(x,z)),y) -> b#(y,z) b#(f(b(x,z)),y) -> b#(z,b(y,z)) c#(f(f(c(x,a(),z))),a(),y) -> b#(a(),z) c#(f(f(c(x,a(),z))),a(),y) -> b#(y,f(b(a(),z))) TRS: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z))))) c(f(f(c(x,a(),z))),a(),y) -> b(y,f(b(a(),z))) b(b(c(b(a(),a()),a(),z),f(a())),y) -> z graph: c#(f(f(c(x,a(),z))),a(),y) -> b#(a(),z) -> b#(f(b(x,z)),y) -> b#(z,b(y,z)) c#(f(f(c(x,a(),z))),a(),y) -> b#(a(),z) -> b#(f(b(x,z)),y) -> b#(y,z) c#(f(f(c(x,a(),z))),a(),y) -> b#(y,f(b(a(),z))) -> b#(f(b(x,z)),y) -> b#(z,b(y,z)) c#(f(f(c(x,a(),z))),a(),y) -> b#(y,f(b(a(),z))) -> b#(f(b(x,z)),y) -> b#(y,z) b#(f(b(x,z)),y) -> b#(y,z) -> b#(f(b(x,z)),y) -> b#(z,b(y,z)) b#(f(b(x,z)),y) -> b#(y,z) -> b#(f(b(x,z)),y) -> b#(y,z) b#(f(b(x,z)),y) -> b#(z,b(y,z)) -> b#(f(b(x,z)),y) -> b#(z,b(y,z)) b#(f(b(x,z)),y) -> b#(z,b(y,z)) -> b#(f(b(x,z)),y) -> b#(y,z) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: b#(f(b(x,z)),y) -> b#(y,z) b#(f(b(x,z)),y) -> b#(z,b(y,z)) TRS: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z))))) c(f(f(c(x,a(),z))),a(),y) -> b(y,f(b(a(),z))) b(b(c(b(a(),a()),a(),z),f(a())),y) -> z Usable Rule Processor: DPs: b#(f(b(x,z)),y) -> b#(y,z) b#(f(b(x,z)),y) -> b#(z,b(y,z)) TRS: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z))))) b(b(c(b(a(),a()),a(),z),f(a())),y) -> z Matrix Interpretation Processor: dim=2 usable rules: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z))))) b(b(c(b(a(),a()),a(),z),f(a())),y) -> z interpretation: [b#](x0, x1) = [0 1]x0 + [0 1]x1, [0 0] [f](x0) = [2 0]x0, [2 0] [0 0] [c](x0, x1, x2) = [0 0]x0 + [1 1]x2, [0 1] [0 1] [2] [b](x0, x1) = [0 1]x0 + [0 0]x1 + [0], [0] [a] = [0] orientation: b#(f(b(x,z)),y) = [0 2]x + [0 1]y + [0 2]z + [4] >= [0 1]y + [0 1]z = b#(y,z) b#(f(b(x,z)),y) = [0 2]x + [0 1]y + [0 2]z + [4] >= [0 1]y + [0 1]z = b#(z,b(y,z)) [0 2] [0 1] [0 2] [6] [0] b(f(b(x,z)),y) = [0 2]x + [0 0]y + [0 2]z + [4] >= [0] = f(f(f(b(z,b(y,z))))) [0 1] [1 1] [2] b(b(c(b(a(),a()),a(),z),f(a())),y) = [0 0]y + [1 1]z + [0] >= z = z problem: DPs: TRS: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z)))))
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