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SRS Standard pair #487085276
details
property
value
status
complete
benchmark
size-12-alpha-3-num-279.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
11.0504 seconds
cpu usage
42.0075
user time
40.9173
system time
1.09022
max virtual memory
5618836.0
max residence set size
89212.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(b(x1)) -> c(b(x1)) b(x1) -> a(a(c(x1))) c(c(x1)) -> b(x1) Proof: DP Processor: DPs: a#(b(x1)) -> c#(b(x1)) b#(x1) -> c#(x1) b#(x1) -> a#(c(x1)) b#(x1) -> a#(a(c(x1))) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(x1)) b(x1) -> a(a(c(x1))) c(c(x1)) -> b(x1) TDG Processor: DPs: a#(b(x1)) -> c#(b(x1)) b#(x1) -> c#(x1) b#(x1) -> a#(c(x1)) b#(x1) -> a#(a(c(x1))) c#(c(x1)) -> b#(x1) TRS: a(x1) -> x1 a(b(x1)) -> c(b(x1)) b(x1) -> a(a(c(x1))) c(c(x1)) -> b(x1) graph: b#(x1) -> c#(x1) -> c#(c(x1)) -> b#(x1) b#(x1) -> a#(c(x1)) -> a#(b(x1)) -> c#(b(x1)) b#(x1) -> a#(a(c(x1))) -> a#(b(x1)) -> c#(b(x1)) c#(c(x1)) -> b#(x1) -> b#(x1) -> a#(a(c(x1))) c#(c(x1)) -> b#(x1) -> b#(x1) -> a#(c(x1)) c#(c(x1)) -> b#(x1) -> b#(x1) -> c#(x1) a#(b(x1)) -> c#(b(x1)) -> c#(c(x1)) -> b#(x1) Root-Labeling Processor: DPs: a{#,(f6)}(f6(b)(b(f6)(x1))) -> c{#,(f6)}(f6(b)(b(f6)(x1))) a{#,(f6)}(f6(b)(b(a)(x1))) -> c{#,(f6)}(f6(b)(b(a)(x1))) a{#,(f6)}(f6(b)(b(b)(x1))) -> c{#,(f6)}(f6(b)(b(b)(x1))) a{#,(f6)}(f6(b)(b(c)(x1))) -> c{#,(f6)}(f6(b)(b(c)(x1))) b{#,(f6)}(f6(f6)(x1)) -> c{#,(f6)}(f6(f6)(x1)) b{#,(f6)}(f6(a)(x1)) -> c{#,(f6)}(f6(a)(x1)) b{#,(f6)}(f6(b)(x1)) -> c{#,(f6)}(f6(b)(x1)) b{#,(f6)}(f6(c)(x1)) -> c{#,(f6)}(f6(c)(x1)) b{#,(f6)}(f6(f6)(x1)) -> a{#,(f6)}(f6(c)(c(f6)(x1))) b{#,(f6)}(f6(a)(x1)) -> a{#,(f6)}(f6(c)(c(a)(x1))) b{#,(f6)}(f6(b)(x1)) -> a{#,(f6)}(f6(c)(c(b)(x1))) b{#,(f6)}(f6(c)(x1)) -> a{#,(f6)}(f6(c)(c(c)(x1))) b{#,(f6)}(f6(f6)(x1)) -> a{#,(f6)}(f6(a)(a(c)(c(f6)(x1)))) b{#,(f6)}(f6(a)(x1)) -> a{#,(f6)}(f6(a)(a(c)(c(a)(x1)))) b{#,(f6)}(f6(b)(x1)) -> a{#,(f6)}(f6(a)(a(c)(c(b)(x1)))) b{#,(f6)}(f6(c)(x1)) -> a{#,(f6)}(f6(a)(a(c)(c(c)(x1)))) c{#,(f6)}(f6(c)(c(f6)(x1))) -> b{#,(f6)}(f6(f6)(x1)) c{#,(f6)}(f6(c)(c(a)(x1))) -> b{#,(f6)}(f6(a)(x1)) c{#,(f6)}(f6(c)(c(b)(x1))) -> b{#,(f6)}(f6(b)(x1)) c{#,(f6)}(f6(c)(c(c)(x1))) -> b{#,(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) f6(a)(a(b)(b(f6)(x1))) -> f6(c)(c(b)(b(f6)(x1))) f6(a)(a(b)(b(a)(x1))) -> f6(c)(c(b)(b(a)(x1))) f6(a)(a(b)(b(b)(x1))) -> f6(c)(c(b)(b(b)(x1))) f6(a)(a(b)(b(c)(x1))) -> f6(c)(c(b)(b(c)(x1))) a(a)(a(b)(b(f6)(x1))) -> a(c)(c(b)(b(f6)(x1))) a(a)(a(b)(b(a)(x1))) -> a(c)(c(b)(b(a)(x1))) a(a)(a(b)(b(b)(x1))) -> a(c)(c(b)(b(b)(x1))) a(a)(a(b)(b(c)(x1))) -> a(c)(c(b)(b(c)(x1))) b(a)(a(b)(b(f6)(x1))) -> b(c)(c(b)(b(f6)(x1))) b(a)(a(b)(b(a)(x1))) -> b(c)(c(b)(b(a)(x1))) b(a)(a(b)(b(b)(x1))) -> b(c)(c(b)(b(b)(x1))) b(a)(a(b)(b(c)(x1))) -> b(c)(c(b)(b(c)(x1))) c(a)(a(b)(b(f6)(x1))) -> c(c)(c(b)(b(f6)(x1))) c(a)(a(b)(b(a)(x1))) -> c(c)(c(b)(b(a)(x1))) c(a)(a(b)(b(b)(x1))) -> c(c)(c(b)(b(b)(x1))) c(a)(a(b)(b(c)(x1))) -> c(c)(c(b)(b(c)(x1))) f6(b)(b(f6)(x1)) -> f6(a)(a(a)(a(c)(c(f6)(x1)))) f6(b)(b(a)(x1)) -> f6(a)(a(a)(a(c)(c(a)(x1)))) f6(b)(b(b)(x1)) -> f6(a)(a(a)(a(c)(c(b)(x1)))) f6(b)(b(c)(x1)) -> f6(a)(a(a)(a(c)(c(c)(x1))))
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