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SRS Standard pair #487083866
details
property
value
status
complete
benchmark
size-12-alpha-3-num-51.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
11.4623 seconds
cpu usage
41.8014
user time
40.7144
system time
1.087
max virtual memory
5908892.0
max residence set size
89220.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(x1)) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) Proof: DP Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> a#(b(c(c(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> a(b(x1)) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) TDG Processor: DPs: a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> a#(b(c(c(x1)))) TRS: a(x1) -> x1 a(a(x1)) -> a(b(x1)) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) graph: c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(c(x1)) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(b(c(c(x1)))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> b#(c(c(x1))) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> a#(b(x1)) c#(b(x1)) -> a#(b(c(c(x1)))) -> a#(a(x1)) -> b#(x1) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1) SCC Processor: #sccs: 2 #rules: 3 #arcs: 12/36 DPs: c#(b(x1)) -> c#(c(x1)) c#(b(x1)) -> c#(x1) TRS: a(x1) -> x1 a(a(x1)) -> a(b(x1)) b(x1) -> x1 c(b(x1)) -> a(b(c(c(x1)))) Root-Labeling Processor: DPs: c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(c)(c(f6)(x1))) c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(c)(c(a)(x1))) c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(c)(c(b)(x1))) c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(c(c)(x1))) c{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(f6)(x1)) c{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(a)(x1)) c{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(x1)) c{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(c)(x1)) TRS: f6(a)(a(f6)(x1)) -> f6(f6)(x1) f6(a)(a(a)(x1)) -> f6(a)(x1) f6(a)(a(b)(x1)) -> f6(b)(x1) f6(a)(a(c)(x1)) -> f6(c)(x1) a(a)(a(f6)(x1)) -> a(f6)(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(f6)(x1)) -> b(f6)(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(f6)(x1)) -> c(f6)(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(f6)(x1)) -> a(b)(b(f6)(x1)) a(a)(a(a)(x1)) -> a(b)(b(a)(x1)) a(a)(a(b)(x1)) -> a(b)(b(b)(x1)) a(a)(a(c)(x1)) -> a(b)(b(c)(x1)) f6(b)(b(f6)(x1)) -> f6(f6)(x1) f6(b)(b(a)(x1)) -> f6(a)(x1) f6(b)(b(b)(x1)) -> f6(b)(x1) f6(b)(b(c)(x1)) -> f6(c)(x1) a(b)(b(f6)(x1)) -> a(f6)(x1) a(b)(b(a)(x1)) -> a(a)(x1) a(b)(b(b)(x1)) -> a(b)(x1) a(b)(b(c)(x1)) -> a(c)(x1) b(b)(b(f6)(x1)) -> b(f6)(x1)
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