details

property	value
status	complete
benchmark	random-355.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	ttt2-1.19
configuration	ttt2
runtime (wallclock)	1.73913 seconds
cpu usage	5.58201
user time	4.49465
system time	1.08736
max virtual memory	3543008.0
max residence set size	72328.0

stage attributes

key	value
starexec-result	YES

output

5.34/1.73 YES 5.34/1.73 5.34/1.73 Problem: 5.34/1.73 a(a(b(a(x1)))) -> a(a(a(b(x1)))) 5.34/1.73 b(b(b(a(x1)))) -> a(a(a(b(x1)))) 5.34/1.73 b(a(a(b(x1)))) -> b(b(b(a(x1)))) 5.34/1.73 5.34/1.73 Proof: 5.34/1.73 Matrix Interpretation Processor: dim=3 5.34/1.73 5.34/1.73 interpretation: 5.34/1.73 [1 0 0] [1] 5.34/1.73 [b](x0) = [0 0 1]x0 + [1] 5.34/1.73 [0 0 0] [0], 5.34/1.73 5.34/1.73 [1 0 1] 5.34/1.73 [a](x0) = [0 0 0]x0 5.34/1.73 [0 1 0] 5.34/1.73 orientation: 5.34/1.73 [1 1 1] [2] [1 0 1] [2] 5.34/1.73 a(a(b(a(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = a(a(a(b(x1)))) 5.34/1.73 [0 0 0] [0] [0 0 0] [0] 5.34/1.73 5.34/1.73 [1 0 1] [3] [1 0 1] [2] 5.34/1.73 b(b(b(a(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [0] = a(a(a(b(x1)))) 5.34/1.73 [0 0 0] [0] [0 0 0] [0] 5.34/1.73 5.34/1.73 [1 0 1] [3] [1 0 1] [3] 5.34/1.73 b(a(a(b(x1)))) = [0 0 0]x1 + [1] >= [0 0 0]x1 + [1] = b(b(b(a(x1)))) 5.34/1.73 [0 0 0] [0] [0 0 0] [0] 5.34/1.73 problem: 5.34/1.73 a(a(b(a(x1)))) -> a(a(a(b(x1)))) 5.34/1.73 b(a(a(b(x1)))) -> b(b(b(a(x1)))) 5.34/1.73 KBO Processor: 5.34/1.73 weight function: 5.34/1.73 w0 = 1 5.34/1.73 w(a) = 1 5.34/1.73 w(b) = 0 5.34/1.73 precedence: 5.34/1.73 b > a 5.34/1.73 problem: 5.34/1.73 5.34/1.73 Qed 5.34/1.73 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29