details

property	value
status	complete
benchmark	4.56.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	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.359025 seconds
cpu usage	0.43341
user time	0.334734
system time	0.098676
max virtual memory	96176.0
max residence set size	56152.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: f(a(),b()) -> f(a(),c()) f(c(),d()) -> f(b(),d()) Proof: Extended Uncurrying Processor: application symbol: f symbol table: d ==> d0/0 c ==> c0/0 c1/1 b ==> b0/0 b1/1 a ==> a0/0 a1/1 uncurry-rules: f(a0(),x0) -> a1(x0) f(b0(),x2) -> b1(x2) f(c0(),x4) -> c1(x4) eta-rules: problem: a1(b0()) -> a1(c0()) c1(d0()) -> b1(d0()) f(a0(),x0) -> a1(x0) f(b0(),x2) -> b1(x2) f(c0(),x4) -> c1(x4) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [b1](x0) = [0 0 1]x0 [0 0 0] , [0] [a0] = [0] [0], [1 1 1] [c1](x0) = [0 0 1]x0 [1 0 0] , [0] [b0] = [1] [0], [0] [d0] = [0] [1], [0] [c0] = [0] [0], [1 1 0] [a1](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [1 1 1] [1] [f](x0, x1) = [0 0 0]x0 + [0 0 1]x1 + [0] [0 0 0] [1 0 0] [0] orientation: [1] [0] a1(b0()) = [0] >= [0] = a1(c0()) [0] [0] [1] [0] c1(d0()) = [1] >= [1] = b1(d0()) [0] [0] [1 1 1] [1] [1 1 0] f(a0(),x0) = [0 0 1]x0 + [0] >= [0 0 0]x0 = a1(x0) [1 0 0] [0] [0 0 0] [1 1 1] [1] [1 0 0] f(b0(),x2) = [0 0 1]x2 + [0] >= [0 0 1]x2 = b1(x2) [1 0 0] [0] [0 0 0] [1 1 1] [1] [1 1 1] f(c0(),x4) = [0 0 1]x4 + [0] >= [0 0 1]x4 = c1(x4) [1 0 0] [0] [1 0 0] problem: Qed popout

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all output return to TRS Standard