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SRS Standard pair #487085636
details
property
value
status
complete
benchmark
15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
11.0112 seconds
cpu usage
41.7783
user time
40.6092
system time
1.16911
max virtual memory
5910792.0
max residence set size
89208.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(b(a(x1))) -> b(x1) b(a(b(x1))) -> b(b(b(x1))) b(b(x1)) -> a(a(a(x1))) Proof: DP Processor: DPs: a#(b(a(x1))) -> b#(x1) b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(b(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) TRS: a(b(a(x1))) -> b(x1) b(a(b(x1))) -> b(b(b(x1))) b(b(x1)) -> a(a(a(x1))) TDG Processor: DPs: a#(b(a(x1))) -> b#(x1) b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(b(x1))) b#(b(x1)) -> a#(x1) b#(b(x1)) -> a#(a(x1)) b#(b(x1)) -> a#(a(a(x1))) TRS: a(b(a(x1))) -> b(x1) b(a(b(x1))) -> b(b(b(x1))) b(b(x1)) -> a(a(a(x1))) graph: b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(x1) b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(x1) b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(x1) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(a(a(x1))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(a(x1)) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(x1) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> b#(b(b(x1))) -> b#(a(b(x1))) -> b#(b(x1)) b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(a(a(x1))) b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(a(x1)) b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(x1) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(b(x1))) b#(a(b(x1))) -> b#(b(x1)) -> b#(a(b(x1))) -> b#(b(x1)) a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(a(x1))) a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(x1)) a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(x1) a#(b(a(x1))) -> b#(x1) -> b#(a(b(x1))) -> b#(b(b(x1))) a#(b(a(x1))) -> b#(x1) -> b#(a(b(x1))) -> b#(b(x1)) Root-Labeling Processor: DPs: a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1))) b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(a)(x1)))) b{#,(f4)}(f4(a)(a(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(f4)(x1)) b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(x1)) b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(b)(x1)) b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(f4)(x1))) b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(x1))) b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(b)(x1))) b{#,(f4)}(f4(b)(b(f4)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) b{#,(f4)}(f4(b)(b(a)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) b{#,(f4)}(f4(b)(b(b)(x1))) -> a{#,(f4)}(f4(a)(a(a)(a(b)(x1)))) TRS: f4(a)(a(b)(b(a)(a(f4)(x1)))) -> f4(b)(b(f4)(x1)) f4(a)(a(b)(b(a)(a(a)(x1)))) -> f4(b)(b(a)(x1)) f4(a)(a(b)(b(a)(a(b)(x1)))) -> f4(b)(b(b)(x1)) a(a)(a(b)(b(a)(a(f4)(x1)))) -> a(b)(b(f4)(x1)) a(a)(a(b)(b(a)(a(a)(x1)))) -> a(b)(b(a)(x1)) a(a)(a(b)(b(a)(a(b)(x1)))) -> a(b)(b(b)(x1)) b(a)(a(b)(b(a)(a(f4)(x1)))) -> b(b)(b(f4)(x1)) b(a)(a(b)(b(a)(a(a)(x1)))) -> b(b)(b(a)(x1)) b(a)(a(b)(b(a)(a(b)(x1)))) -> b(b)(b(b)(x1)) b(a)(a(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1))) b(a)(a(b)(b(a)(x1))) -> b(b)(b(b)(b(a)(x1))) b(a)(a(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1))) f4(b)(b(b)(b(f4)(x1))) -> f4(a)(a(a)(a(a)(a(f4)(x1)))) f4(b)(b(b)(b(a)(x1))) -> f4(a)(a(a)(a(a)(a(a)(x1)))) f4(b)(b(b)(b(b)(x1))) -> f4(a)(a(a)(a(a)(a(b)(x1)))) a(b)(b(b)(b(f4)(x1))) -> a(a)(a(a)(a(a)(a(f4)(x1)))) a(b)(b(b)(b(a)(x1))) -> a(a)(a(a)(a(a)(a(a)(x1)))) a(b)(b(b)(b(b)(x1))) -> a(a)(a(a)(a(a)(a(b)(x1)))) b(b)(b(b)(b(f4)(x1))) -> b(a)(a(a)(a(a)(a(f4)(x1)))) b(b)(b(b)(b(a)(x1))) -> b(a)(a(a)(a(a)(a(a)(x1)))) b(b)(b(b)(b(b)(x1))) -> b(a)(a(a)(a(a)(a(b)(x1)))) TDG Processor: DPs: a{#,(f4)}(f4(b)(b(a)(a(f4)(x1)))) -> b{#,(f4)}(f4(f4)(x1)) a{#,(f4)}(f4(b)(b(a)(a(a)(x1)))) -> b{#,(f4)}(f4(a)(x1)) a{#,(f4)}(f4(b)(b(a)(a(b)(x1)))) -> b{#,(f4)}(f4(b)(x1)) b{#,(f4)}(f4(a)(a(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) b{#,(f4)}(f4(a)(a(b)(b(a)(x1)))) -> b{#,(f4)}(f4(b)(b(a)(x1)))
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