details

property	value
status	complete
benchmark	jw13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n081.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	0.470100164413 seconds
cpu usage	0.706210168
max memory	1.21147392E8

stage attributes

key	value
output-size	3270
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: f(a(),f(a(),x)) -> f(a(),f(f(a(),x),f(a(),a()))) Proof: Extended Uncurrying Processor: application symbol: f symbol table: a ==> a0/0 a1/1 a2/2 uncurry-rules: f(a1(x2),x3) -> a2(x2,x3) f(a0(),x2) -> a1(x2) eta-rules: f(f(a(),f(a(),x)),x1) -> f(f(a(),f(f(a(),x),f(a(),a()))),x1) problem: a1(a1(x)) -> a1(a2(x,a1(a0()))) a2(a1(x),x1) -> a2(a2(x,a1(a0())),x1) f(a1(x2),x3) -> a2(x2,x3) f(a0(),x2) -> a1(x2) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [a2](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 1] [0] [a1](x0) = [0 1 0]x0 + [0] [0 0 0] [1], [0] [a0] = [1] [0], [1 1 0] [1 0 1] [f](x0, x1) = [0 0 0]x0 + [0 1 0]x1 [0 1 0] [0 0 0] orientation: [1 0 1] [1] [1 0 0] [0] a1(a1(x)) = [0 1 0]x + [0] >= [0 0 0]x + [0] = a1(a2(x,a1(a0()))) [0 0 0] [1] [0 0 0] [1] [1 0 1] [1 0 0] [1 0 0] [1 0 0] a2(a1(x),x1) = [0 0 0]x + [0 0 0]x1 >= [0 0 0]x + [0 0 0]x1 = a2(a2(x,a1(a0())),x1) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 1] [1 0 1] [1 0 0] [1 0 0] f(a1(x2),x3) = [0 0 0]x2 + [0 1 0]x3 >= [0 0 0]x2 + [0 0 0]x3 = a2(x2,x3) [0 1 0] [0 0 0] [0 0 0] [0 0 0] [1 0 1] [1] [1 0 1] [0] f(a0(),x2) = [0 1 0]x2 + [0] >= [0 1 0]x2 + [0] = a1(x2) [0 0 0] [1] [0 0 0] [1] problem: a2(a1(x),x1) -> a2(a2(x,a1(a0())),x1) f(a1(x2),x3) -> a2(x2,x3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 0] [a2](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [0] [a1](x0) = [0 0 1]x0 + [0] [0 0 1] [1], [0] [a0] = [0] [0], [1 1 0] [1 0 0] [1] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [0] orientation: [1 0 1] [1 0 0] [1] [1 0 1] [1 0 0] a2(a1(x),x1) = [0 0 0]x + [0 0 0]x1 + [0] >= [0 0 0]x + [0 0 0]x1 = a2(a2(x,a1(a0())),x1) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 0 1] [1 0 0] [1] [1 0 1] [1 0 0] f(a1(x2),x3) = [0 0 0]x2 + [0 0 0]x3 + [0] >= [0 0 0]x2 + [0 0 0]x3 = a2(x2,x3) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed popout

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