details

property	value
status	complete
benchmark	random-26.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n106.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	ttt2-1.19
configuration	ttt2
runtime (wallclock)	12.3084 seconds
cpu usage	44.1608
user time	42.8973
system time	1.26354
max virtual memory	3546616.0
max residence set size	91812.0

stage attributes

key	value
starexec-result	YES

output

42.93/11.23 YES 43.18/11.41 43.18/11.41 Problem: 43.18/11.41 a(b(b(a(x1)))) -> b(a(b(a(x1)))) 43.18/11.41 a(b(b(b(x1)))) -> a(a(b(a(x1)))) 43.18/11.41 a(a(a(a(x1)))) -> b(b(b(a(x1)))) 43.18/11.41 43.18/11.41 Proof: 43.18/11.41 DP Processor: 43.18/11.41 DPs: 43.18/11.41 a#(b(b(a(x1)))) -> a#(b(a(x1))) 43.18/11.41 a#(b(b(b(x1)))) -> a#(x1) 43.18/11.41 a#(b(b(b(x1)))) -> a#(b(a(x1))) 43.18/11.41 a#(b(b(b(x1)))) -> a#(a(b(a(x1)))) 43.18/11.41 TRS: 43.18/11.41 a(b(b(a(x1)))) -> b(a(b(a(x1)))) 43.18/11.41 a(b(b(b(x1)))) -> a(a(b(a(x1)))) 43.18/11.41 a(a(a(a(x1)))) -> b(b(b(a(x1)))) 43.18/11.41 Polynomial Interpretation Processor: 43.18/11.41 dimension: 1 43.18/11.41 usable rules: 43.18/11.41 a(b(b(a(x1)))) -> b(a(b(a(x1)))) 43.18/11.41 a(b(b(b(x1)))) -> a(a(b(a(x1)))) 43.18/11.41 a(a(a(a(x1)))) -> b(b(b(a(x1)))) 43.18/11.41 interpretation: 43.18/11.41 [a#](x0) = x0, 43.18/11.41 43.18/11.41 [b](x0) = x0 + 1, 43.18/11.41 43.18/11.41 [a](x0) = x0 + 1 43.18/11.41 orientation: 43.18/11.41 a#(b(b(a(x1)))) = x1 + 3 >= x1 + 2 = a#(b(a(x1))) 43.18/11.41 43.18/11.41 a#(b(b(b(x1)))) = x1 + 3 >= x1 = a#(x1) 43.18/11.41 43.18/11.41 a#(b(b(b(x1)))) = x1 + 3 >= x1 + 2 = a#(b(a(x1))) 43.18/11.41 43.18/11.41 a#(b(b(b(x1)))) = x1 + 3 >= x1 + 3 = a#(a(b(a(x1)))) 43.18/11.41 43.18/11.41 a(b(b(a(x1)))) = x1 + 4 >= x1 + 4 = b(a(b(a(x1)))) 43.18/11.41 43.18/11.41 a(b(b(b(x1)))) = x1 + 4 >= x1 + 4 = a(a(b(a(x1)))) 43.18/11.41 43.18/11.41 a(a(a(a(x1)))) = x1 + 4 >= x1 + 4 = b(b(b(a(x1)))) 43.18/11.41 problem: 43.18/11.41 DPs: 43.18/11.41 a#(b(b(b(x1)))) -> a#(a(b(a(x1)))) 43.18/11.41 TRS: 43.18/11.41 a(b(b(a(x1)))) -> b(a(b(a(x1)))) 43.18/11.41 a(b(b(b(x1)))) -> a(a(b(a(x1)))) 43.18/11.41 a(a(a(a(x1)))) -> b(b(b(a(x1)))) 43.18/11.41 Root-Labeling Processor: 43.18/11.41 DPs: 43.18/11.41 a{#,(f3)}(f3(b)(b(b)(b(b)(b(f3)(x1))))) -> a{#,(f3)}(f3(a)(a(b)(b(a)(a(f3)(x1))))) 43.18/11.41 a{#,(f3)}(f3(b)(b(b)(b(b)(b(a)(x1))))) -> a{#,(f3)}(f3(a)(a(b)(b(a)(a(a)(x1))))) 43.18/11.41 a{#,(f3)}(f3(b)(b(b)(b(b)(b(b)(x1))))) -> a{#,(f3)}(f3(a)(a(b)(b(a)(a(b)(x1))))) 43.18/11.41 TRS: 43.18/11.41 f3(a)(a(b)(b(b)(b(a)(a(f3)(x1))))) -> f3(b)(b(a)(a(b)(b(a)(a(f3)(x1))))) 43.18/11.41 f3(a)(a(b)(b(b)(b(a)(a(a)(x1))))) -> f3(b)(b(a)(a(b)(b(a)(a(a)(x1))))) 43.18/11.41 f3(a)(a(b)(b(b)(b(a)(a(b)(x1))))) -> f3(b)(b(a)(a(b)(b(a)(a(b)(x1))))) 43.18/11.41 a(a)(a(b)(b(b)(b(a)(a(f3)(x1))))) -> a(b)(b(a)(a(b)(b(a)(a(f3)(x1))))) 43.18/11.41 a(a)(a(b)(b(b)(b(a)(a(a)(x1))))) -> a(b)(b(a)(a(b)(b(a)(a(a)(x1))))) 43.18/11.41 a(a)(a(b)(b(b)(b(a)(a(b)(x1))))) -> a(b)(b(a)(a(b)(b(a)(a(b)(x1))))) 43.18/11.41 b(a)(a(b)(b(b)(b(a)(a(f3)(x1))))) -> b(b)(b(a)(a(b)(b(a)(a(f3)(x1))))) 43.18/11.41 b(a)(a(b)(b(b)(b(a)(a(a)(x1))))) -> b(b)(b(a)(a(b)(b(a)(a(a)(x1))))) 43.18/11.41 b(a)(a(b)(b(b)(b(a)(a(b)(x1))))) -> b(b)(b(a)(a(b)(b(a)(a(b)(x1))))) 43.18/11.41 a(b)(b(b)(b(b)(b(f3)(x1)))) -> a(a)(a(b)(b(a)(a(f3)(x1)))) 43.18/11.41 a(b)(b(b)(b(b)(b(a)(x1)))) -> a(a)(a(b)(b(a)(a(a)(x1)))) 43.18/11.41 a(b)(b(b)(b(b)(b(b)(x1)))) -> a(a)(a(b)(b(a)(a(b)(x1)))) 43.18/11.41 f3(a)(a(a)(a(a)(a(a)(a(f3)(x1))))) -> f3(b)(b(b)(b(b)(b(a)(a(f3)(x1))))) 43.18/11.41 f3(a)(a(a)(a(a)(a(a)(a(a)(x1))))) -> f3(b)(b(b)(b(b)(b(a)(a(a)(x1))))) 43.18/11.41 f3(a)(a(a)(a(a)(a(a)(a(b)(x1))))) -> f3(b)(b(b)(b(b)(b(a)(a(b)(x1))))) 43.18/11.41 a(a)(a(a)(a(a)(a(a)(a(f3)(x1))))) -> a(b)(b(b)(b(b)(b(a)(a(f3)(x1))))) 43.18/11.41 a(a)(a(a)(a(a)(a(a)(a(a)(x1))))) -> a(b)(b(b)(b(b)(b(a)(a(a)(x1))))) 43.18/11.41 a(a)(a(a)(a(a)(a(a)(a(b)(x1))))) -> a(b)(b(b)(b(b)(b(a)(a(b)(x1))))) 43.18/11.41 b(a)(a(a)(a(a)(a(a)(a(f3)(x1))))) -> b(b)(b(b)(b(b)(b(a)(a(f3)(x1))))) 43.18/11.41 b(a)(a(a)(a(a)(a(a)(a(a)(x1))))) -> b(b)(b(b)(b(b)(b(a)(a(a)(x1))))) 43.18/11.41 b(a)(a(a)(a(a)(a(a)(a(b)(x1))))) -> b(b)(b(b)(b(b)(b(a)(a(b)(x1))))) 43.18/11.41 Polynomial Interpretation Processor: 43.18/11.41 dimension: 1 43.18/11.41 interpretation: 43.18/11.41 [a(a)](x0) = x0, 43.18/11.41 43.18/11.41 [a(f3)](x0) = x0, 43.18/11.41 43.18/11.41 [b(a)](x0) = x0, 43.18/11.41 43.18/11.41 [a(b)](x0) = x0, 43.18/11.41 43.18/11.41 [f3(a)](x0) = x0, 43.18/11.41 43.18/11.41 [b(f3)](x0) = x0 + 1, 43.18/11.41 43.18/11.41 [b(b)](x0) = x0, 43.18/11.41 43.18/11.41 [f3(b)](x0) = x0, 43.18/11.41 43.18/11.41 [a{#,(f3)}](x0) = x0 43.18/11.41 orientation: 43.18/11.41 a{#,(f3)}(f3(b)(b(b)(b(b)(b(f3)(x1))))) = x1 + 1 >= x1 = a{#,(f3)}(f3(a)(a(b)(b(a)(a(f3)(x1))))) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS_Standard 2019-03-29 03.29