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SRS Standard pair #487083092
details
property
value
status
complete
benchmark
abc.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Zantema_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
115.206 seconds
cpu usage
146.115
user time
144.742
system time
1.37296
max virtual memory
5907272.0
max residence set size
96720.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) a(x1) -> x1 b(x1) -> x1 c(x1) -> x1 Proof: DP Processor: DPs: a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> b#(a(a(x1))) a#(b(c(x1))) -> b#(b(a(a(x1)))) a#(b(c(x1))) -> c#(b(b(a(a(x1))))) a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) TRS: a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) a(x1) -> x1 b(x1) -> x1 c(x1) -> x1 TDG Processor: DPs: a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> b#(a(a(x1))) a#(b(c(x1))) -> b#(b(a(a(x1)))) a#(b(c(x1))) -> c#(b(b(a(a(x1))))) a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) TRS: a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) a(x1) -> x1 b(x1) -> x1 c(x1) -> x1 graph: a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> c#(b(b(a(a(x1))))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> b#(b(a(a(x1)))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> b#(a(a(x1))) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> a#(a(x1)) -> a#(b(c(x1))) -> a#(x1) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> c#(c(b(b(a(a(x1)))))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> c#(b(b(a(a(x1))))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> b#(b(a(a(x1)))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> b#(a(a(x1))) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> a#(x1) -> a#(b(c(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: a#(b(c(x1))) -> a#(a(x1)) a#(b(c(x1))) -> a#(x1) TRS: a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) a(x1) -> x1 b(x1) -> x1 c(x1) -> x1 Root-Labeling Processor: DPs: a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(a)(a(f6)(x1))) a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(a(a)(x1))) a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(a)(a(b)(x1))) a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(a)(a(c)(x1))) a{#,(f6)}(f6(b)(b(c)(c(f6)(x1)))) -> a{#,(f6)}(f6(f6)(x1)) a{#,(f6)}(f6(b)(b(c)(c(a)(x1)))) -> a{#,(f6)}(f6(a)(x1)) a{#,(f6)}(f6(b)(b(c)(c(b)(x1)))) -> a{#,(f6)}(f6(b)(x1)) a{#,(f6)}(f6(b)(b(c)(c(c)(x1)))) -> a{#,(f6)}(f6(c)(x1)) TRS: f6(a)(a(b)(b(c)(c(f6)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) f6(a)(a(b)(b(c)(c(a)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) f6(a)(a(b)(b(c)(c(b)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) f6(a)(a(b)(b(c)(c(c)(x1)))) -> f6(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) a(a)(a(b)(b(c)(c(f6)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) a(a)(a(b)(b(c)(c(a)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) a(a)(a(b)(b(c)(c(b)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) a(a)(a(b)(b(c)(c(c)(x1)))) -> a(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) b(a)(a(b)(b(c)(c(f6)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) b(a)(a(b)(b(c)(c(a)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) b(a)(a(b)(b(c)(c(b)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) b(a)(a(b)(b(c)(c(c)(x1)))) -> b(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) c(a)(a(b)(b(c)(c(f6)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(f6)(x1))))))) c(a)(a(b)(b(c)(c(a)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(a)(x1))))))) c(a)(a(b)(b(c)(c(b)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(b)(x1))))))) c(a)(a(b)(b(c)(c(c)(x1)))) -> c(c)(c(c)(c(b)(b(b)(b(a)(a(a)(a(c)(x1))))))) 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)
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