details

property	value
status	complete
benchmark	z30.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n187.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.0931 seconds
cpu usage	6.82771
user time	5.48917
system time	1.33853
max virtual memory	6648828.0
max residence set size	103580.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: f(a(),f(a(),f(b(),f(a(),f(a(),f(b(),f(a(),x))))))) -> f(a(),f(b(),f(a(),f(a(),f(b(),f(a(),f(a(),f(a(),f(b(),x))))))))) Proof: Extended Uncurrying Processor: application symbol: f symbol table: b ==> b0/0 b1/1 a ==> a0/0 a1/1 uncurry-rules: f(a0(),x1) -> a1(x1) f(b0(),x3) -> b1(x3) eta-rules: problem: a1(a1(b1(a1(a1(b1(a1(x))))))) -> a1(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) f(a0(),x1) -> a1(x1) f(b0(),x3) -> b1(x3) Matrix Interpretation Processor: dim=3 interpretation: [a1](x0) = x0 , [0] [a0] = [1] [0], [0] [b0] = [0] [0], [1 0 0] [0] [b1](x0) = [0 0 0]x0 + [1] [0 1 0] [0], [1 1 0] [1 1 1] [0] [f](x0, x1) = [0 0 0]x0 + [0 1 1]x1 + [1] [0 0 0] [1 1 1] [0] orientation: [1 0 0] [0] [1 0 0] [0] a1(a1(b1(a1(a1(b1(a1(x))))))) = [0 0 0]x + [1] >= [0 0 0]x + [1] = a1(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) [0 0 0] [1] [0 0 0] [1] [1 1 1] [1] f(a0(),x1) = [0 1 1]x1 + [1] >= x1 = a1(x1) [1 1 1] [0] [1 1 1] [0] [1 0 0] [0] f(b0(),x3) = [0 1 1]x3 + [1] >= [0 0 0]x3 + [1] = b1(x3) [1 1 1] [0] [0 1 0] [0] problem: a1(a1(b1(a1(a1(b1(a1(x))))))) -> a1(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) f(b0(),x3) -> b1(x3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [a1](x0) = [0 0 0]x0 [0 0 0] , [0] [b0] = [0] [1], [1 0 0] [b1](x0) = [1 0 0]x0 [0 0 0] , [1 0 1] [1 0 0] [f](x0, x1) = [0 0 0]x0 + [1 0 0]x1 [0 0 0] [1 0 1] orientation: [1 0 0] [1 0 0] a1(a1(b1(a1(a1(b1(a1(x))))))) = [0 0 0]x >= [0 0 0]x = a1(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) [0 0 0] [0 0 0] [1 0 0] [1] [1 0 0] f(b0(),x3) = [1 0 0]x3 + [0] >= [1 0 0]x3 = b1(x3) [1 0 1] [0] [0 0 0] problem: a1(a1(b1(a1(a1(b1(a1(x))))))) -> a1(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) DP Processor: DPs: a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(b1(x)) a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(a1(b1(x))) a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(a1(a1(b1(x)))) a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(b1(a1(a1(a1(b1(x)))))) a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(a1(b1(a1(a1(a1(b1(x))))))) a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) TRS: a1(a1(b1(a1(a1(b1(a1(x))))))) -> a1(b1(a1(a1(b1(a1(a1(a1(b1(x))))))))) EDG Processor: DPs: a{1,#}(a1(b1(a1(a1(b1(a1(x))))))) -> a{1,#}(b1(x)) popout

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

job log

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actions

all output return to TRS Standard