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SRS Standard pair #487083326
details
property
value
status
complete
benchmark
sym-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Waldmann_06_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
10.7718 seconds
cpu usage
40.6692
user time
39.5104
system time
1.15884
max virtual memory
5907952.0
max residence set size
79100.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: b(b(x1)) -> c(c(c(c(x1)))) c(x1) -> x1 b(c(b(x1))) -> b(b(b(x1))) Proof: DP Processor: DPs: b#(b(x1)) -> c#(x1) b#(b(x1)) -> c#(c(x1)) b#(b(x1)) -> c#(c(c(x1))) b#(b(x1)) -> c#(c(c(c(x1)))) b#(c(b(x1))) -> b#(b(x1)) b#(c(b(x1))) -> b#(b(b(x1))) TRS: b(b(x1)) -> c(c(c(c(x1)))) c(x1) -> x1 b(c(b(x1))) -> b(b(b(x1))) TDG Processor: DPs: b#(b(x1)) -> c#(x1) b#(b(x1)) -> c#(c(x1)) b#(b(x1)) -> c#(c(c(x1))) b#(b(x1)) -> c#(c(c(c(x1)))) b#(c(b(x1))) -> b#(b(x1)) b#(c(b(x1))) -> b#(b(b(x1))) TRS: b(b(x1)) -> c(c(c(c(x1)))) c(x1) -> x1 b(c(b(x1))) -> b(b(b(x1))) graph: b#(c(b(x1))) -> b#(b(b(x1))) -> b#(c(b(x1))) -> b#(b(b(x1))) b#(c(b(x1))) -> b#(b(b(x1))) -> b#(c(b(x1))) -> b#(b(x1)) b#(c(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> c#(c(c(c(x1)))) b#(c(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> c#(c(c(x1))) b#(c(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> c#(c(x1)) b#(c(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> c#(x1) b#(c(b(x1))) -> b#(b(x1)) -> b#(c(b(x1))) -> b#(b(b(x1))) b#(c(b(x1))) -> b#(b(x1)) -> b#(c(b(x1))) -> b#(b(x1)) b#(c(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> c#(c(c(c(x1)))) b#(c(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> c#(c(c(x1))) b#(c(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> c#(c(x1)) b#(c(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> c#(x1) SCC Processor: #sccs: 1 #rules: 2 #arcs: 12/36 DPs: b#(c(b(x1))) -> b#(b(b(x1))) b#(c(b(x1))) -> b#(b(x1)) TRS: b(b(x1)) -> c(c(c(c(x1)))) c(x1) -> x1 b(c(b(x1))) -> b(b(b(x1))) Root-Labeling Processor: DPs: b{#,(f4)}(f4(c)(c(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(f4)(x1)))) b{#,(f4)}(f4(c)(c(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(b)(x1)))) b{#,(f4)}(f4(c)(c(b)(b(c)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(b(c)(x1)))) b{#,(f4)}(f4(c)(c(b)(b(f4)(x1)))) -> b{#,(f4)}(f4(b)(b(f4)(x1))) b{#,(f4)}(f4(c)(c(b)(b(b)(x1)))) -> b{#,(f4)}(f4(b)(b(b)(x1))) b{#,(f4)}(f4(c)(c(b)(b(c)(x1)))) -> b{#,(f4)}(f4(b)(b(c)(x1))) TRS: f4(b)(b(b)(b(f4)(x1))) -> f4(c)(c(c)(c(c)(c(c)(c(f4)(x1))))) f4(b)(b(b)(b(b)(x1))) -> f4(c)(c(c)(c(c)(c(c)(c(b)(x1))))) f4(b)(b(b)(b(c)(x1))) -> f4(c)(c(c)(c(c)(c(c)(c(c)(x1))))) b(b)(b(b)(b(f4)(x1))) -> b(c)(c(c)(c(c)(c(c)(c(f4)(x1))))) b(b)(b(b)(b(b)(x1))) -> b(c)(c(c)(c(c)(c(c)(c(b)(x1))))) b(b)(b(b)(b(c)(x1))) -> b(c)(c(c)(c(c)(c(c)(c(c)(x1))))) c(b)(b(b)(b(f4)(x1))) -> c(c)(c(c)(c(c)(c(c)(c(f4)(x1))))) c(b)(b(b)(b(b)(x1))) -> c(c)(c(c)(c(c)(c(c)(c(b)(x1))))) c(b)(b(b)(b(c)(x1))) -> c(c)(c(c)(c(c)(c(c)(c(c)(x1))))) f4(c)(c(f4)(x1)) -> f4(f4)(x1) f4(c)(c(b)(x1)) -> f4(b)(x1) f4(c)(c(c)(x1)) -> f4(c)(x1) b(c)(c(f4)(x1)) -> b(f4)(x1) b(c)(c(b)(x1)) -> b(b)(x1) b(c)(c(c)(x1)) -> b(c)(x1) c(c)(c(f4)(x1)) -> c(f4)(x1) c(c)(c(b)(x1)) -> c(b)(x1) c(c)(c(c)(x1)) -> c(c)(x1) b(c)(c(b)(b(f4)(x1))) -> b(b)(b(b)(b(f4)(x1))) b(c)(c(b)(b(b)(x1))) -> b(b)(b(b)(b(b)(x1))) b(c)(c(b)(b(c)(x1))) -> b(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 interpretation: [b(f4)](x0) = x0 + 1, [b{#,(f4)}](x0) = x0 + 1, [b(b)](x0) = x0, [c(b)](x0) = x0, [f4(f4)](x0) = x0, [c(c)](x0) = x0,
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