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TRS Stand 20472 pair #381709699
details
property
value
status
complete
benchmark
gen-25.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.83153390884 seconds
cpu usage
9.816341292
max memory
8.53737472E8
stage attributes
key
value
output-size
5789
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: b(a(),f(b(b(z,y),a()))) -> z c(c(z,x,a()),a(),y) -> f(f(c(y,a(),f(c(z,y,x))))) f(f(c(a(),y,z))) -> b(y,b(z,z)) Proof: DP Processor: DPs: c#(c(z,x,a()),a(),y) -> c#(z,y,x) c#(c(z,x,a()),a(),y) -> f#(c(z,y,x)) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) c#(c(z,x,a()),a(),y) -> f#(c(y,a(),f(c(z,y,x)))) c#(c(z,x,a()),a(),y) -> f#(f(c(y,a(),f(c(z,y,x))))) f#(f(c(a(),y,z))) -> b#(z,z) f#(f(c(a(),y,z))) -> b#(y,b(z,z)) TRS: b(a(),f(b(b(z,y),a()))) -> z c(c(z,x,a()),a(),y) -> f(f(c(y,a(),f(c(z,y,x))))) f(f(c(a(),y,z))) -> b(y,b(z,z)) TDG Processor: DPs: c#(c(z,x,a()),a(),y) -> c#(z,y,x) c#(c(z,x,a()),a(),y) -> f#(c(z,y,x)) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) c#(c(z,x,a()),a(),y) -> f#(c(y,a(),f(c(z,y,x)))) c#(c(z,x,a()),a(),y) -> f#(f(c(y,a(),f(c(z,y,x))))) f#(f(c(a(),y,z))) -> b#(z,z) f#(f(c(a(),y,z))) -> b#(y,b(z,z)) TRS: b(a(),f(b(b(z,y),a()))) -> z c(c(z,x,a()),a(),y) -> f(f(c(y,a(),f(c(z,y,x))))) f(f(c(a(),y,z))) -> b(y,b(z,z)) graph: c#(c(z,x,a()),a(),y) -> f#(c(y,a(),f(c(z,y,x)))) -> f#(f(c(a(),y,z))) -> b#(y,b(z,z)) c#(c(z,x,a()),a(),y) -> f#(c(y,a(),f(c(z,y,x)))) -> f#(f(c(a(),y,z))) -> b#(z,z) c#(c(z,x,a()),a(),y) -> f#(c(z,y,x)) -> f#(f(c(a(),y,z))) -> b#(y,b(z,z)) c#(c(z,x,a()),a(),y) -> f#(c(z,y,x)) -> f#(f(c(a(),y,z))) -> b#(z,z) c#(c(z,x,a()),a(),y) -> f#(f(c(y,a(),f(c(z,y,x))))) -> f#(f(c(a(),y,z))) -> b#(y,b(z,z)) c#(c(z,x,a()),a(),y) -> f#(f(c(y,a(),f(c(z,y,x))))) -> f#(f(c(a(),y,z))) -> b#(z,z) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) -> c#(c(z,x,a()),a(),y) -> f#(f(c(y,a(),f(c(z,y,x))))) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) -> c#(c(z,x,a()),a(),y) -> f#(c(y,a(),f(c(z,y,x)))) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) -> c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) -> c#(c(z,x,a()),a(),y) -> f#(c(z,y,x)) c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) -> c#(c(z,x,a()),a(),y) -> c#(z,y,x) c#(c(z,x,a()),a(),y) -> c#(z,y,x) -> c#(c(z,x,a()),a(),y) -> f#(f(c(y,a(),f(c(z,y,x))))) c#(c(z,x,a()),a(),y) -> c#(z,y,x) -> c#(c(z,x,a()),a(),y) -> f#(c(y,a(),f(c(z,y,x)))) c#(c(z,x,a()),a(),y) -> c#(z,y,x) -> c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) c#(c(z,x,a()),a(),y) -> c#(z,y,x) -> c#(c(z,x,a()),a(),y) -> f#(c(z,y,x)) c#(c(z,x,a()),a(),y) -> c#(z,y,x) -> c#(c(z,x,a()),a(),y) -> c#(z,y,x) SCC Processor: #sccs: 1 #rules: 2 #arcs: 16/49 DPs: c#(c(z,x,a()),a(),y) -> c#(y,a(),f(c(z,y,x))) c#(c(z,x,a()),a(),y) -> c#(z,y,x) TRS: b(a(),f(b(b(z,y),a()))) -> z c(c(z,x,a()),a(),y) -> f(f(c(y,a(),f(c(z,y,x))))) f(f(c(a(),y,z))) -> b(y,b(z,z)) Arctic Interpretation Processor: dimension: 2 usable rules: b(a(),f(b(b(z,y),a()))) -> z c(c(z,x,a()),a(),y) -> f(f(c(y,a(),f(c(z,y,x))))) f(f(c(a(),y,z))) -> b(y,b(z,z)) interpretation: [c#](x0, x1, x2) = [1 0]x0 + [1 0]x2, [1 0] [1 0 ] [1 0] [0] [c](x0, x1, x2) = [1 0]x0 + [0 -&]x1 + [1 0]x2 + [0], [-& 0 ] [1] [f](x0) = [0 0 ]x0 + [3], [0 0] [0 0] [-&] [b](x0, x1) = [0 0]x0 + [0 0]x1 + [3 ],
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