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SRS Standard pair #487084610
details
property
value
status
complete
benchmark
size-12-alpha-3-num-352.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
11.5807 seconds
cpu usage
42.3884
user time
41.2405
system time
1.14789
max virtual memory
5715692.0
max residence set size
89200.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(x1) a(b(x1)) -> b(a(c(a(x1)))) b(b(x1)) -> x1 c(c(x1)) -> x1 Proof: DP Processor: DPs: a#(x1) -> b#(x1) a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> b#(a(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(x1)) -> b(a(c(a(x1)))) b(b(x1)) -> x1 c(c(x1)) -> x1 TDG Processor: DPs: a#(x1) -> b#(x1) a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> b#(a(c(a(x1)))) TRS: a(x1) -> b(x1) a(b(x1)) -> b(a(c(a(x1)))) b(b(x1)) -> x1 c(c(x1)) -> x1 graph: a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> b#(a(c(a(x1)))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(c(a(x1))) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(c(a(x1))) -> a#(x1) -> b#(x1) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> b#(a(c(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(x1) -> b#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 10/25 DPs: a#(b(x1)) -> a#(c(a(x1))) a#(b(x1)) -> a#(x1) TRS: a(x1) -> b(x1) a(b(x1)) -> b(a(c(a(x1)))) b(b(x1)) -> x1 c(c(x1)) -> x1 Root-Labeling Processor: DPs: a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(f6)(x1)))) a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(a)(x1)))) a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(b)(x1)))) a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(c(a)(a(c)(x1)))) a{#,(f6)}(f6(b)(b(f6)(x1))) -> a{#,(f6)}(f6(f6)(x1)) a{#,(f6)}(f6(b)(b(a)(x1))) -> a{#,(f6)}(f6(a)(x1)) a{#,(f6)}(f6(b)(b(b)(x1))) -> a{#,(f6)}(f6(b)(x1)) a{#,(f6)}(f6(b)(b(c)(x1))) -> a{#,(f6)}(f6(c)(x1)) TRS: f6(a)(a(f6)(x1)) -> f6(b)(b(f6)(x1)) f6(a)(a(a)(x1)) -> f6(b)(b(a)(x1)) f6(a)(a(b)(x1)) -> f6(b)(b(b)(x1)) f6(a)(a(c)(x1)) -> f6(b)(b(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)) b(a)(a(f6)(x1)) -> b(b)(b(f6)(x1)) b(a)(a(a)(x1)) -> b(b)(b(a)(x1)) b(a)(a(b)(x1)) -> b(b)(b(b)(x1)) b(a)(a(c)(x1)) -> b(b)(b(c)(x1)) c(a)(a(f6)(x1)) -> c(b)(b(f6)(x1)) c(a)(a(a)(x1)) -> c(b)(b(a)(x1)) c(a)(a(b)(x1)) -> c(b)(b(b)(x1)) c(a)(a(c)(x1)) -> c(b)(b(c)(x1)) f6(a)(a(b)(b(f6)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) f6(a)(a(b)(b(a)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(a)(x1))))) f6(a)(a(b)(b(b)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(b)(x1))))) f6(a)(a(b)(b(c)(x1))) -> f6(b)(b(a)(a(c)(c(a)(a(c)(x1))))) a(a)(a(b)(b(f6)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) a(a)(a(b)(b(a)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(a)(x1))))) a(a)(a(b)(b(b)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(b)(x1))))) a(a)(a(b)(b(c)(x1))) -> a(b)(b(a)(a(c)(c(a)(a(c)(x1))))) b(a)(a(b)(b(f6)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) b(a)(a(b)(b(a)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(a)(x1))))) b(a)(a(b)(b(b)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(b)(x1))))) b(a)(a(b)(b(c)(x1))) -> b(b)(b(a)(a(c)(c(a)(a(c)(x1))))) c(a)(a(b)(b(f6)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(f6)(x1))))) c(a)(a(b)(b(a)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(a)(x1))))) c(a)(a(b)(b(b)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(b)(x1))))) c(a)(a(b)(b(c)(x1))) -> c(b)(b(a)(a(c)(c(a)(a(c)(x1))))) f6(b)(b(b)(b(f6)(x1))) -> f6(f6)(x1)
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