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SRS_Standard 2019-03-29 03.29 pair #432294672
details
property
value
status
complete
benchmark
random-216.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n086.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
12.1931 seconds
cpu usage
44.4279
user time
42.9956
system time
1.43225
max virtual memory
3601880.0
max residence set size
90108.0
stage attributes
key
value
starexec-result
YES
output
43.51/11.38 YES 43.79/11.60 43.79/11.60 Problem: 43.79/11.60 a(a(a(b(x1)))) -> a(b(b(b(x1)))) 43.79/11.60 a(a(b(b(x1)))) -> a(b(b(a(x1)))) 43.79/11.60 a(b(a(b(x1)))) -> a(a(b(a(x1)))) 43.79/11.60 43.79/11.60 Proof: 43.79/11.60 DP Processor: 43.79/11.60 DPs: 43.79/11.60 a#(a(a(b(x1)))) -> a#(b(b(b(x1)))) 43.79/11.60 a#(a(b(b(x1)))) -> a#(x1) 43.79/11.60 a#(a(b(b(x1)))) -> a#(b(b(a(x1)))) 43.79/11.60 a#(b(a(b(x1)))) -> a#(x1) 43.79/11.60 a#(b(a(b(x1)))) -> a#(b(a(x1))) 43.79/11.60 a#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 43.79/11.60 TRS: 43.79/11.60 a(a(a(b(x1)))) -> a(b(b(b(x1)))) 43.79/11.60 a(a(b(b(x1)))) -> a(b(b(a(x1)))) 43.79/11.60 a(b(a(b(x1)))) -> a(a(b(a(x1)))) 43.79/11.60 Polynomial Interpretation Processor: 43.79/11.60 dimension: 1 43.79/11.60 usable rules: 43.79/11.60 a(a(a(b(x1)))) -> a(b(b(b(x1)))) 43.79/11.60 a(a(b(b(x1)))) -> a(b(b(a(x1)))) 43.79/11.60 a(b(a(b(x1)))) -> a(a(b(a(x1)))) 43.79/11.60 interpretation: 43.79/11.60 [a#](x0) = x0, 43.79/11.60 43.79/11.60 [a](x0) = x0 + 1, 43.79/11.60 43.79/11.60 [b](x0) = x0 + 1 43.79/11.60 orientation: 43.79/11.60 a#(a(a(b(x1)))) = x1 + 3 >= x1 + 3 = a#(b(b(b(x1)))) 43.79/11.60 43.79/11.60 a#(a(b(b(x1)))) = x1 + 3 >= x1 = a#(x1) 43.79/11.60 43.79/11.60 a#(a(b(b(x1)))) = x1 + 3 >= x1 + 3 = a#(b(b(a(x1)))) 43.79/11.60 43.79/11.60 a#(b(a(b(x1)))) = x1 + 3 >= x1 = a#(x1) 43.79/11.60 43.79/11.60 a#(b(a(b(x1)))) = x1 + 3 >= x1 + 2 = a#(b(a(x1))) 43.79/11.60 43.79/11.60 a#(b(a(b(x1)))) = x1 + 3 >= x1 + 3 = a#(a(b(a(x1)))) 43.79/11.60 43.79/11.60 a(a(a(b(x1)))) = x1 + 4 >= x1 + 4 = a(b(b(b(x1)))) 43.79/11.60 43.79/11.60 a(a(b(b(x1)))) = x1 + 4 >= x1 + 4 = a(b(b(a(x1)))) 43.79/11.60 43.79/11.60 a(b(a(b(x1)))) = x1 + 4 >= x1 + 4 = a(a(b(a(x1)))) 43.79/11.60 problem: 43.79/11.60 DPs: 43.79/11.60 a#(a(a(b(x1)))) -> a#(b(b(b(x1)))) 43.79/11.60 a#(a(b(b(x1)))) -> a#(b(b(a(x1)))) 43.79/11.60 a#(b(a(b(x1)))) -> a#(a(b(a(x1)))) 43.79/11.60 TRS: 43.79/11.60 a(a(a(b(x1)))) -> a(b(b(b(x1)))) 43.79/11.60 a(a(b(b(x1)))) -> a(b(b(a(x1)))) 43.79/11.60 a(b(a(b(x1)))) -> a(a(b(a(x1)))) 43.79/11.60 Root-Labeling Processor: 43.79/11.60 DPs: 43.79/11.60 a{#,(f3)}(f3(a)(a(a)(a(b)(b(f3)(x1))))) -> a{#,(f3)}(f3(b)(b(b)(b(b)(b(f3)(x1))))) 43.79/11.60 a{#,(f3)}(f3(a)(a(a)(a(b)(b(a)(x1))))) -> a{#,(f3)}(f3(b)(b(b)(b(b)(b(a)(x1))))) 43.79/11.60 a{#,(f3)}(f3(a)(a(a)(a(b)(b(b)(x1))))) -> a{#,(f3)}(f3(b)(b(b)(b(b)(b(b)(x1))))) 43.79/11.60 a{#,(f3)}(f3(a)(a(b)(b(b)(b(f3)(x1))))) -> a{#,(f3)}(f3(b)(b(b)(b(a)(a(f3)(x1))))) 43.79/11.60 a{#,(f3)}(f3(a)(a(b)(b(b)(b(a)(x1))))) -> a{#,(f3)}(f3(b)(b(b)(b(a)(a(a)(x1))))) 43.79/11.60 a{#,(f3)}(f3(a)(a(b)(b(b)(b(b)(x1))))) -> a{#,(f3)}(f3(b)(b(b)(b(a)(a(b)(x1))))) 43.79/11.60 a{#,(f3)}(f3(b)(b(a)(a(b)(b(f3)(x1))))) -> a{#,(f3)}(f3(a)(a(b)(b(a)(a(f3)(x1))))) 43.79/11.60 a{#,(f3)}(f3(b)(b(a)(a(b)(b(a)(x1))))) -> a{#,(f3)}(f3(a)(a(b)(b(a)(a(a)(x1))))) 43.79/11.60 a{#,(f3)}(f3(b)(b(a)(a(b)(b(b)(x1))))) -> a{#,(f3)}(f3(a)(a(b)(b(a)(a(b)(x1))))) 43.79/11.60 TRS: 43.79/11.60 a(a)(a(a)(a(b)(b(f3)(x1)))) -> a(b)(b(b)(b(b)(b(f3)(x1)))) 43.79/11.60 a(a)(a(a)(a(b)(b(a)(x1)))) -> a(b)(b(b)(b(b)(b(a)(x1)))) 43.79/11.60 a(a)(a(a)(a(b)(b(b)(x1)))) -> a(b)(b(b)(b(b)(b(b)(x1)))) 43.79/11.60 a(a)(a(b)(b(b)(b(f3)(x1)))) -> a(b)(b(b)(b(a)(a(f3)(x1)))) 43.79/11.60 a(a)(a(b)(b(b)(b(a)(x1)))) -> a(b)(b(b)(b(a)(a(a)(x1)))) 43.79/11.60 a(a)(a(b)(b(b)(b(b)(x1)))) -> a(b)(b(b)(b(a)(a(b)(x1)))) 43.79/11.60 a(b)(b(a)(a(b)(b(f3)(x1)))) -> a(a)(a(b)(b(a)(a(f3)(x1)))) 43.79/11.60 a(b)(b(a)(a(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 43.79/11.60 a(b)(b(a)(a(b)(b(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 43.79/11.60 Polynomial Interpretation Processor: 43.79/11.60 dimension: 1 43.79/11.60 interpretation: 43.79/11.60 [a(f3)](x0) = x0, 43.79/11.60 43.79/11.60 [b(a)](x0) = x0, 43.79/11.60 43.79/11.60 [b(b)](x0) = x0, 43.79/11.60 43.79/11.60 [f3(b)](x0) = x0 + 1, 43.79/11.60 43.79/11.60 [b(f3)](x0) = x0 + 1, 43.79/11.60 43.79/11.60 [a(b)](x0) = x0, 43.79/11.60 43.79/11.60 [a(a)](x0) = x0, 43.79/11.60 43.79/11.60 [f3(a)](x0) = x0 + 1, 43.79/11.60 43.79/11.60 [a{#,(f3)}](x0) = x0
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