details

property	value
status	complete
benchmark	2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n189.star.cs.uiowa.edu
space	Secret_06_TRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.668264 seconds
cpu usage	1.42558
user time	1.10521
system time	0.320371
max virtual memory	1938928.0
max residence set size	68728.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: c(c(c(b(x)))) -> a(1(),b(c(x))) b(c(b(c(x)))) -> a(0(),a(1(),x)) a(0(),x) -> c(c(x)) a(1(),x) -> c(b(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [3] [0] = [1], [1 1] [1] [c](x0) = [1 0]x0 + [1], [1 1] [2 1] [0] [a](x0, x1) = [0 1]x0 + [1 1]x1 + [1], [1 1] [b](x0) = [1 0]x0, [1] [1] = [0] orientation: [5 3] [6] [5 3] [6] c(c(c(b(x)))) = [3 2]x + [4] >= [3 2]x + [4] = a(1(),b(c(x))) [5 3] [7] [5 3] [7] b(c(b(c(x)))) = [3 2]x + [4] >= [3 2]x + [4] = a(0(),a(1(),x)) [2 1] [4] [2 1] [3] a(0(),x) = [1 1]x + [2] >= [1 1]x + [2] = c(c(x)) [2 1] [1] [2 1] [1] a(1(),x) = [1 1]x + [1] >= [1 1]x + [1] = c(b(x)) problem: c(c(c(b(x)))) -> a(1(),b(c(x))) b(c(b(c(x)))) -> a(0(),a(1(),x)) a(1(),x) -> c(b(x)) Matrix Interpretation Processor: dim=3 interpretation: [0] [0] = [1] [0], [1 0 1] [0] [c](x0) = [0 0 0]x0 + [1] [0 1 0] [0], [1 0 0] [1 0 1] [a](x0, x1) = [0 1 0]x0 + [0 0 0]x1 [0 0 0] [0 1 0] , [b](x0) = x0 , [0] [1] = [1] [0] orientation: [1 1 1] [1] [1 1 1] [0] c(c(c(b(x)))) = [0 0 0]x + [1] >= [0 0 0]x + [1] = a(1(),b(c(x))) [0 0 0] [1] [0 0 0] [1] [1 1 1] [0] [1 1 1] [0] b(c(b(c(x)))) = [0 0 0]x + [1] >= [0 0 0]x + [1] = a(0(),a(1(),x)) [0 0 0] [1] [0 0 0] [1] [1 0 1] [0] [1 0 1] [0] a(1(),x) = [0 0 0]x + [1] >= [0 0 0]x + [1] = c(b(x)) [0 1 0] [0] [0 1 0] [0] problem: b(c(b(c(x)))) -> a(0(),a(1(),x)) a(1(),x) -> c(b(x)) Matrix Interpretation Processor: dim=3 interpretation: [0] [0] = [0] [0], [1 0 0] [0] [c](x0) = [0 0 0]x0 + [1] [0 1 1] [0], [1 0 0] [1 0 1] [a](x0, x1) = [0 0 1]x0 + [0 0 0]x1 [0 0 0] [0 1 0] , [1 0 1] [b](x0) = [0 0 0]x0 [0 1 0] , [0] [1] = [0] popout

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

job log

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actions

all output return to TRS Standard