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TRS Standard pair #516966184
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
n135.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.89554095268 seconds
cpu usage
10.089814488
max memory
1.276506112E9
stage attributes
key
value
output-size
4995
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: 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)) Matrix Interpretation Processor: dim=3 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: [1 1 1] [0 0 1] [b](x0, x1) = [0 0 0]x0 + [0 1 0]x1 [1 0 0] [0 1 0] , [1 1 1] [1 0 0] [0 0 0] [1] [c](x0, x1, x2) = [0 0 0]x0 + [1 1 1]x1 + [1 1 0]x2 + [0] [0 0 0] [0 0 0] [0 0 0] [0], [c#](x0, x1, x2) = [1 0 0]x0 + [1 0 0]x2 + [1],
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