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SRS Standard pair #487084478
details
property
value
status
complete
benchmark
size-12-alpha-3-num-59.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
15.2548 seconds
cpu usage
46.5001
user time
45.2668
system time
1.2333
max virtual memory
5910884.0
max residence set size
100200.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(a(c(a(x1))))) c(b(x1)) -> a(c(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> c#(a(x1)) a#(a(x1)) -> a#(c(a(x1))) a#(a(x1)) -> a#(b(a(c(a(x1))))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> a(b(a(c(a(x1))))) c(b(x1)) -> a(c(x1)) TDG Processor: DPs: a#(a(x1)) -> c#(a(x1)) a#(a(x1)) -> a#(c(a(x1))) a#(a(x1)) -> a#(b(a(c(a(x1))))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> a(b(a(c(a(x1))))) c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(a(c(a(x1))))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(c(a(x1))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(a(x1)) a#(a(x1)) -> c#(a(x1)) -> c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(a(x1)) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> a#(b(a(c(a(x1))))) -> a#(a(x1)) -> a#(b(a(c(a(x1))))) a#(a(x1)) -> a#(b(a(c(a(x1))))) -> a#(a(x1)) -> a#(c(a(x1))) a#(a(x1)) -> a#(b(a(c(a(x1))))) -> a#(a(x1)) -> c#(a(x1)) a#(a(x1)) -> a#(c(a(x1))) -> a#(a(x1)) -> a#(b(a(c(a(x1))))) a#(a(x1)) -> a#(c(a(x1))) -> a#(a(x1)) -> a#(c(a(x1))) a#(a(x1)) -> a#(c(a(x1))) -> a#(a(x1)) -> c#(a(x1)) Root-Labeling Processor: DPs: a{#,(f5)}(f5(a)(a(f5)(x1))) -> c{#,(f5)}(f5(a)(a(f5)(x1))) a{#,(f5)}(f5(a)(a(a)(x1))) -> c{#,(f5)}(f5(a)(a(a)(x1))) a{#,(f5)}(f5(a)(a(b)(x1))) -> c{#,(f5)}(f5(a)(a(b)(x1))) a{#,(f5)}(f5(a)(a(c)(x1))) -> c{#,(f5)}(f5(a)(a(c)(x1))) a{#,(f5)}(f5(a)(a(f5)(x1))) -> a{#,(f5)}(f5(c)(c(a)(a(f5)(x1)))) a{#,(f5)}(f5(a)(a(a)(x1))) -> a{#,(f5)}(f5(c)(c(a)(a(a)(x1)))) a{#,(f5)}(f5(a)(a(b)(x1))) -> a{#,(f5)}(f5(c)(c(a)(a(b)(x1)))) a{#,(f5)}(f5(a)(a(c)(x1))) -> a{#,(f5)}(f5(c)(c(a)(a(c)(x1)))) a{#,(f5)}(f5(a)(a(f5)(x1))) -> a{#,(f5)}(f5(b)(b(a)(a(c)(c(a)(a(f5)(x1)))))) a{#,(f5)}(f5(a)(a(a)(x1))) -> a{#,(f5)}(f5(b)(b(a)(a(c)(c(a)(a(a)(x1)))))) a{#,(f5)}(f5(a)(a(b)(x1))) -> a{#,(f5)}(f5(b)(b(a)(a(c)(c(a)(a(b)(x1)))))) a{#,(f5)}(f5(a)(a(c)(x1))) -> a{#,(f5)}(f5(b)(b(a)(a(c)(c(a)(a(c)(x1)))))) c{#,(f5)}(f5(b)(b(f5)(x1))) -> c{#,(f5)}(f5(f5)(x1)) c{#,(f5)}(f5(b)(b(a)(x1))) -> c{#,(f5)}(f5(a)(x1)) c{#,(f5)}(f5(b)(b(b)(x1))) -> c{#,(f5)}(f5(b)(x1)) c{#,(f5)}(f5(b)(b(c)(x1))) -> c{#,(f5)}(f5(c)(x1)) c{#,(f5)}(f5(b)(b(f5)(x1))) -> a{#,(f5)}(f5(c)(c(f5)(x1))) c{#,(f5)}(f5(b)(b(a)(x1))) -> a{#,(f5)}(f5(c)(c(a)(x1))) c{#,(f5)}(f5(b)(b(b)(x1))) -> a{#,(f5)}(f5(c)(c(b)(x1))) c{#,(f5)}(f5(b)(b(c)(x1))) -> a{#,(f5)}(f5(c)(c(c)(x1))) TRS: f5(a)(a(f5)(x1)) -> f5(f5)(x1) f5(a)(a(a)(x1)) -> f5(a)(x1) f5(a)(a(b)(x1)) -> f5(b)(x1) f5(a)(a(c)(x1)) -> f5(c)(x1) a(a)(a(f5)(x1)) -> a(f5)(x1) a(a)(a(a)(x1)) -> a(a)(x1) a(a)(a(b)(x1)) -> a(b)(x1) a(a)(a(c)(x1)) -> a(c)(x1) b(a)(a(f5)(x1)) -> b(f5)(x1) b(a)(a(a)(x1)) -> b(a)(x1) b(a)(a(b)(x1)) -> b(b)(x1) b(a)(a(c)(x1)) -> b(c)(x1) c(a)(a(f5)(x1)) -> c(f5)(x1) c(a)(a(a)(x1)) -> c(a)(x1) c(a)(a(b)(x1)) -> c(b)(x1) c(a)(a(c)(x1)) -> c(c)(x1) a(a)(a(f5)(x1)) -> a(b)(b(a)(a(c)(c(a)(a(f5)(x1))))) a(a)(a(a)(x1)) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) a(a)(a(b)(x1)) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) a(a)(a(c)(x1)) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) f5(c)(c(b)(b(f5)(x1))) -> f5(a)(a(c)(c(f5)(x1))) f5(c)(c(b)(b(a)(x1))) -> f5(a)(a(c)(c(a)(x1))) f5(c)(c(b)(b(b)(x1))) -> f5(a)(a(c)(c(b)(x1))) f5(c)(c(b)(b(c)(x1))) -> f5(a)(a(c)(c(c)(x1))) a(c)(c(b)(b(f5)(x1))) -> a(a)(a(c)(c(f5)(x1))) a(c)(c(b)(b(a)(x1))) -> a(a)(a(c)(c(a)(x1))) a(c)(c(b)(b(b)(x1))) -> a(a)(a(c)(c(b)(x1))) a(c)(c(b)(b(c)(x1))) -> a(a)(a(c)(c(c)(x1))) b(c)(c(b)(b(f5)(x1))) -> b(a)(a(c)(c(f5)(x1))) b(c)(c(b)(b(a)(x1))) -> b(a)(a(c)(c(a)(x1))) b(c)(c(b)(b(b)(x1))) -> b(a)(a(c)(c(b)(x1))) b(c)(c(b)(b(c)(x1))) -> b(a)(a(c)(c(c)(x1)))
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