details

property	value
status	complete
benchmark	2.17.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.596096 seconds
cpu usage	1.27889
user time	1.00127
system time	0.277617
max virtual memory	1454520.0
max residence set size	68684.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: sum(0()) -> 0() sum(s(x)) -> +(sum(x),s(x)) sum1(0()) -> 0() sum1(s(x)) -> s(+(sum1(x),+(x,x))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [0] [sum1](x0) = [1 1 1]x0 + [1] [1 1 1] [1], [1 1 0] [0] [sum](x0) = [0 0 0]x0 + [0] [1 1 0] [1], [1 0 0] [1 0 0] [0] [+](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [1], [0] [0] = [0] [1], [1 0 0] [s](x0) = [1 1 1]x0 [1 0 1] orientation: [0] [0] sum(0()) = [0] >= [0] = 0() [1] [1] [2 1 1] [0] [2 1 0] [0] sum(s(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = +(sum(x),s(x)) [2 1 1] [1] [0 0 0] [1] [1] [0] sum1(0()) = [2] >= [0] = 0() [2] [1] [3 1 2] [0] [3 1 1] [0] sum1(s(x)) = [3 1 2]x + [1] >= [3 1 1]x + [1] = s(+(sum1(x),+(x,x))) [3 1 2] [1] [3 1 1] [1] problem: sum(0()) -> 0() sum(s(x)) -> +(sum(x),s(x)) sum1(s(x)) -> s(+(sum1(x),+(x,x))) Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [0] [sum1](x0) = [1 1 1]x0 + [1] [1 1 1] [1], [1 1 1] [1] [sum](x0) = [1 0 1]x0 + [1] [1 1 0] [0], [1 0 0] [1 0 0] [0] [+](x0, x1) = [0 0 0]x0 + [0 0 1]x1 + [1] [0 0 0] [0 0 0] [0], [0] [0] = [0] [0], [1 0 0] [s](x0) = [1 0 1]x0 [1 1 0] orientation: [1] [0] sum(0()) = [1] >= [0] = 0() [0] [0] [3 1 1] [1] [2 1 1] [1] sum(s(x)) = [2 1 0]x + [1] >= [1 1 0]x + [1] = +(sum(x),s(x)) [2 0 1] [0] [0 0 0] [0] [3 1 1] [0] [3 1 1] [0] sum1(s(x)) = [3 1 1]x + [1] >= [3 1 1]x + [0] = s(+(sum1(x),+(x,x))) [3 1 1] [1] [3 1 1] [1] problem: sum(s(x)) -> +(sum(x),s(x)) sum1(s(x)) -> s(+(sum1(x),+(x,x))) Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [sum1](x0) = [1 1 1]x0 [1 1 1] , [1 1 0] [0] [sum](x0) = [1 1 0]x0 + [1] [0 0 0] [1], [1 0 0] [1 0 0] popout

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job log

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actions

all output return to TRS Standard