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SRS Standard pair #487083344
details
property
value
status
complete
benchmark
uni-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_06_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
10.9528 seconds
cpu usage
41.5102
user time
40.3726
system time
1.13753
max virtual memory
5907196.0
max residence set size
89216.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(a(x1))) -> a(c(a(a(x1)))) c(c(c(x1))) -> a(x1) a(x1) -> x1 Proof: DP Processor: DPs: a#(a(a(x1))) -> c#(a(a(x1))) a#(a(a(x1))) -> a#(c(a(a(x1)))) c#(c(c(x1))) -> a#(x1) TRS: a(a(a(x1))) -> a(c(a(a(x1)))) c(c(c(x1))) -> a(x1) a(x1) -> x1 TDG Processor: DPs: a#(a(a(x1))) -> c#(a(a(x1))) a#(a(a(x1))) -> a#(c(a(a(x1)))) c#(c(c(x1))) -> a#(x1) TRS: a(a(a(x1))) -> a(c(a(a(x1)))) c(c(c(x1))) -> a(x1) a(x1) -> x1 graph: c#(c(c(x1))) -> a#(x1) -> a#(a(a(x1))) -> a#(c(a(a(x1)))) c#(c(c(x1))) -> a#(x1) -> a#(a(a(x1))) -> c#(a(a(x1))) a#(a(a(x1))) -> c#(a(a(x1))) -> c#(c(c(x1))) -> a#(x1) a#(a(a(x1))) -> a#(c(a(a(x1)))) -> a#(a(a(x1))) -> a#(c(a(a(x1)))) a#(a(a(x1))) -> a#(c(a(a(x1)))) -> a#(a(a(x1))) -> c#(a(a(x1))) Root-Labeling Processor: DPs: a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> c{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> c{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) a{#,(f4)}(f4(a)(a(a)(a(c)(x1)))) -> c{#,(f4)}(f4(a)(a(a)(a(c)(x1)))) a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(c)(c(a)(a(a)(a(f4)(x1))))) a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(c)(c(a)(a(a)(a(a)(x1))))) a{#,(f4)}(f4(a)(a(a)(a(c)(x1)))) -> a{#,(f4)}(f4(c)(c(a)(a(a)(a(c)(x1))))) c{#,(f4)}(f4(c)(c(c)(c(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) c{#,(f4)}(f4(c)(c(c)(c(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) c{#,(f4)}(f4(c)(c(c)(c(c)(x1)))) -> a{#,(f4)}(f4(c)(x1)) TRS: a(a)(a(a)(a(f4)(x1))) -> a(c)(c(a)(a(a)(a(f4)(x1)))) a(a)(a(a)(a(a)(x1))) -> a(c)(c(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(x1)))) f4(c)(c(c)(c(c)(c(f4)(x1)))) -> f4(a)(a(f4)(x1)) f4(c)(c(c)(c(c)(c(a)(x1)))) -> f4(a)(a(a)(x1)) f4(c)(c(c)(c(c)(c(c)(x1)))) -> f4(a)(a(c)(x1)) a(c)(c(c)(c(c)(c(f4)(x1)))) -> a(a)(a(f4)(x1)) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(x1)) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(c)(x1)) c(c)(c(c)(c(c)(c(f4)(x1)))) -> c(a)(a(f4)(x1)) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(x1)) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(c)(x1)) f4(a)(a(f4)(x1)) -> f4(f4)(x1) f4(a)(a(a)(x1)) -> f4(a)(x1) f4(a)(a(c)(x1)) -> f4(c)(x1) a(a)(a(f4)(x1)) -> a(f4)(x1) a(a)(a(a)(x1)) -> a(a)(x1) a(a)(a(c)(x1)) -> a(c)(x1) c(a)(a(f4)(x1)) -> c(f4)(x1) c(a)(a(a)(x1)) -> c(a)(x1) c(a)(a(c)(x1)) -> c(c)(x1) TDG Processor: DPs: a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> c{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> c{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) a{#,(f4)}(f4(a)(a(a)(a(c)(x1)))) -> c{#,(f4)}(f4(a)(a(a)(a(c)(x1)))) a{#,(f4)}(f4(a)(a(a)(a(f4)(x1)))) -> a{#,(f4)}(f4(c)(c(a)(a(a)(a(f4)(x1))))) a{#,(f4)}(f4(a)(a(a)(a(a)(x1)))) -> a{#,(f4)}(f4(c)(c(a)(a(a)(a(a)(x1))))) a{#,(f4)}(f4(a)(a(a)(a(c)(x1)))) -> a{#,(f4)}(f4(c)(c(a)(a(a)(a(c)(x1))))) c{#,(f4)}(f4(c)(c(c)(c(f4)(x1)))) -> a{#,(f4)}(f4(f4)(x1)) c{#,(f4)}(f4(c)(c(c)(c(a)(x1)))) -> a{#,(f4)}(f4(a)(x1)) c{#,(f4)}(f4(c)(c(c)(c(c)(x1)))) -> a{#,(f4)}(f4(c)(x1)) TRS: a(a)(a(a)(a(f4)(x1))) -> a(c)(c(a)(a(a)(a(f4)(x1)))) a(a)(a(a)(a(a)(x1))) -> a(c)(c(a)(a(a)(a(a)(x1)))) a(a)(a(a)(a(c)(x1))) -> a(c)(c(a)(a(a)(a(c)(x1)))) f4(c)(c(c)(c(c)(c(f4)(x1)))) -> f4(a)(a(f4)(x1)) f4(c)(c(c)(c(c)(c(a)(x1)))) -> f4(a)(a(a)(x1)) f4(c)(c(c)(c(c)(c(c)(x1)))) -> f4(a)(a(c)(x1)) a(c)(c(c)(c(c)(c(f4)(x1)))) -> a(a)(a(f4)(x1)) a(c)(c(c)(c(c)(c(a)(x1)))) -> a(a)(a(a)(x1)) a(c)(c(c)(c(c)(c(c)(x1)))) -> a(a)(a(c)(x1)) c(c)(c(c)(c(c)(c(f4)(x1)))) -> c(a)(a(f4)(x1)) c(c)(c(c)(c(c)(c(a)(x1)))) -> c(a)(a(a)(x1)) c(c)(c(c)(c(c)(c(c)(x1)))) -> c(a)(a(c)(x1)) f4(a)(a(f4)(x1)) -> f4(f4)(x1) f4(a)(a(a)(x1)) -> f4(a)(x1) f4(a)(a(c)(x1)) -> f4(c)(x1) a(a)(a(f4)(x1)) -> a(f4)(x1) a(a)(a(a)(x1)) -> a(a)(x1) a(a)(a(c)(x1)) -> a(c)(x1) c(a)(a(f4)(x1)) -> c(f4)(x1) c(a)(a(a)(x1)) -> c(a)(x1) c(a)(a(c)(x1)) -> c(c)(x1) graph:
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