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SRS Standard pair #487083602
details
property
value
status
complete
benchmark
size-12-alpha-3-num-561.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
11.6831 seconds
cpu usage
42.9985
user time
41.8914
system time
1.10708
max virtual memory
5908976.0
max residence set size
78280.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(x1)) -> x1 a(c(x1)) -> c(c(x1)) b(c(x1)) -> a(b(a(b(x1)))) Proof: DP Processor: DPs: b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(b(x1)) b#(c(x1)) -> b#(a(b(x1))) b#(c(x1)) -> a#(b(a(b(x1)))) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(x1)) b(c(x1)) -> a(b(a(b(x1)))) TDG Processor: DPs: b#(c(x1)) -> b#(x1) b#(c(x1)) -> a#(b(x1)) b#(c(x1)) -> b#(a(b(x1))) b#(c(x1)) -> a#(b(a(b(x1)))) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(x1)) b(c(x1)) -> a(b(a(b(x1)))) graph: b#(c(x1)) -> b#(a(b(x1))) -> b#(c(x1)) -> a#(b(a(b(x1)))) b#(c(x1)) -> b#(a(b(x1))) -> b#(c(x1)) -> b#(a(b(x1))) b#(c(x1)) -> b#(a(b(x1))) -> b#(c(x1)) -> a#(b(x1)) b#(c(x1)) -> b#(a(b(x1))) -> b#(c(x1)) -> b#(x1) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> a#(b(a(b(x1)))) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> b#(a(b(x1))) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> a#(b(x1)) b#(c(x1)) -> b#(x1) -> b#(c(x1)) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: b#(c(x1)) -> b#(a(b(x1))) b#(c(x1)) -> b#(x1) TRS: a(b(x1)) -> x1 a(c(x1)) -> c(c(x1)) b(c(x1)) -> a(b(a(b(x1)))) Root-Labeling Processor: DPs: b{#,(f5)}(f5(c)(c(f5)(x1))) -> b{#,(f5)}(f5(a)(a(b)(b(f5)(x1)))) b{#,(f5)}(f5(c)(c(a)(x1))) -> b{#,(f5)}(f5(a)(a(b)(b(a)(x1)))) b{#,(f5)}(f5(c)(c(b)(x1))) -> b{#,(f5)}(f5(a)(a(b)(b(b)(x1)))) b{#,(f5)}(f5(c)(c(c)(x1))) -> b{#,(f5)}(f5(a)(a(b)(b(c)(x1)))) b{#,(f5)}(f5(c)(c(f5)(x1))) -> b{#,(f5)}(f5(f5)(x1)) b{#,(f5)}(f5(c)(c(a)(x1))) -> b{#,(f5)}(f5(a)(x1)) b{#,(f5)}(f5(c)(c(b)(x1))) -> b{#,(f5)}(f5(b)(x1)) b{#,(f5)}(f5(c)(c(c)(x1))) -> b{#,(f5)}(f5(c)(x1)) TRS: f5(a)(a(b)(b(f5)(x1))) -> f5(f5)(x1) f5(a)(a(b)(b(a)(x1))) -> f5(a)(x1) f5(a)(a(b)(b(b)(x1))) -> f5(b)(x1) f5(a)(a(b)(b(c)(x1))) -> f5(c)(x1) a(a)(a(b)(b(f5)(x1))) -> a(f5)(x1) a(a)(a(b)(b(a)(x1))) -> a(a)(x1) a(a)(a(b)(b(b)(x1))) -> a(b)(x1) a(a)(a(b)(b(c)(x1))) -> a(c)(x1) b(a)(a(b)(b(f5)(x1))) -> b(f5)(x1) b(a)(a(b)(b(a)(x1))) -> b(a)(x1) b(a)(a(b)(b(b)(x1))) -> b(b)(x1) b(a)(a(b)(b(c)(x1))) -> b(c)(x1) c(a)(a(b)(b(f5)(x1))) -> c(f5)(x1) c(a)(a(b)(b(a)(x1))) -> c(a)(x1) c(a)(a(b)(b(b)(x1))) -> c(b)(x1) c(a)(a(b)(b(c)(x1))) -> c(c)(x1) f5(a)(a(c)(c(f5)(x1))) -> f5(c)(c(c)(c(f5)(x1))) f5(a)(a(c)(c(a)(x1))) -> f5(c)(c(c)(c(a)(x1))) f5(a)(a(c)(c(b)(x1))) -> f5(c)(c(c)(c(b)(x1))) f5(a)(a(c)(c(c)(x1))) -> f5(c)(c(c)(c(c)(x1))) a(a)(a(c)(c(f5)(x1))) -> a(c)(c(c)(c(f5)(x1))) a(a)(a(c)(c(a)(x1))) -> a(c)(c(c)(c(a)(x1))) a(a)(a(c)(c(b)(x1))) -> a(c)(c(c)(c(b)(x1))) a(a)(a(c)(c(c)(x1))) -> a(c)(c(c)(c(c)(x1))) b(a)(a(c)(c(f5)(x1))) -> b(c)(c(c)(c(f5)(x1))) b(a)(a(c)(c(a)(x1))) -> b(c)(c(c)(c(a)(x1))) b(a)(a(c)(c(b)(x1))) -> b(c)(c(c)(c(b)(x1))) b(a)(a(c)(c(c)(x1))) -> b(c)(c(c)(c(c)(x1))) c(a)(a(c)(c(f5)(x1))) -> c(c)(c(c)(c(f5)(x1))) c(a)(a(c)(c(a)(x1))) -> c(c)(c(c)(c(a)(x1))) c(a)(a(c)(c(b)(x1))) -> c(c)(c(c)(c(b)(x1))) c(a)(a(c)(c(c)(x1))) -> c(c)(c(c)(c(c)(x1))) f5(b)(b(c)(c(f5)(x1))) -> f5(a)(a(b)(b(a)(a(b)(b(f5)(x1))))) f5(b)(b(c)(c(a)(x1))) -> f5(a)(a(b)(b(a)(a(b)(b(a)(x1))))) f5(b)(b(c)(c(b)(x1))) -> f5(a)(a(b)(b(a)(a(b)(b(b)(x1))))) f5(b)(b(c)(c(c)(x1))) -> f5(a)(a(b)(b(a)(a(b)(b(c)(x1))))) a(b)(b(c)(c(f5)(x1))) -> a(a)(a(b)(b(a)(a(b)(b(f5)(x1))))) a(b)(b(c)(c(a)(x1))) -> a(a)(a(b)(b(a)(a(b)(b(a)(x1))))) a(b)(b(c)(c(b)(x1))) -> a(a)(a(b)(b(a)(a(b)(b(b)(x1))))) a(b)(b(c)(c(c)(x1))) -> a(a)(a(b)(b(a)(a(b)(b(c)(x1))))) b(b)(b(c)(c(f5)(x1))) -> b(a)(a(b)(b(a)(a(b)(b(f5)(x1)))))
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