details

property	value
status	complete
benchmark	Ex1_GL02a_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	3.6693 seconds
cpu usage	11.9314
user time	10.6424
system time	1.28896
max virtual memory	2018236.0
max residence set size	167500.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: active(eq(0(),0())) -> mark(true()) active(eq(s(X),s(Y))) -> mark(eq(X,Y)) active(eq(X,Y)) -> mark(false()) active(inf(X)) -> mark(cons(X,inf(s(X)))) active(take(0(),X)) -> mark(nil()) active(take(s(X),cons(Y,L))) -> mark(cons(Y,take(X,L))) active(length(nil())) -> mark(0()) active(length(cons(X,L))) -> mark(s(length(L))) mark(eq(X1,X2)) -> active(eq(X1,X2)) mark(0()) -> active(0()) mark(true()) -> active(true()) mark(s(X)) -> active(s(X)) mark(false()) -> active(false()) mark(inf(X)) -> active(inf(mark(X))) mark(cons(X1,X2)) -> active(cons(X1,X2)) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(length(X)) -> active(length(mark(X))) eq(mark(X1),X2) -> eq(X1,X2) eq(X1,mark(X2)) -> eq(X1,X2) eq(active(X1),X2) -> eq(X1,X2) eq(X1,active(X2)) -> eq(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) inf(mark(X)) -> inf(X) inf(active(X)) -> inf(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) take(mark(X1),X2) -> take(X1,X2) take(X1,mark(X2)) -> take(X1,X2) take(active(X1),X2) -> take(X1,X2) take(X1,active(X2)) -> take(X1,X2) length(mark(X)) -> length(X) length(active(X)) -> length(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [mark](x0) = [0 0 0]x0 [0 1 1] , [1 0 0] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 1 1] , [1 0 0] [1 0 1] [eq](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 1] [0 0 0] , [0] [true] = [0] [1], [1 0 0] [s](x0) = [0 0 0]x0 [0 1 1] , [0] [nil] = [1] [0], [0] [0] = [0] [1], [1 1 0] [inf](x0) = [1 1 0]x0 [0 0 0] , [1 1 0] [1] [length](x0) = [0 1 1]x0 + [0] [0 1 1] [0], [1 1 0] [1 1 0] [take](x0, x1) = [0 1 1]x0 + [0 1 1]x1 [0 0 0] [0 0 0] , [0] [false] = [0] [0], [1 1 0] [active](x0) = [0 0 0]x0 [0 1 1] orientation: [1] [0] active(eq(0(),0())) = [0] >= [0] = mark(true()) [1] [1] [1 0 0] [1 1 1] [1 0 0] [1 0 1] active(eq(s(X),s(Y))) = [0 0 0]X + [0 0 0]Y >= [0 0 0]X + [0 0 0]Y = mark(eq(X,Y)) [0 1 1] [0 0 0] [0 0 1] [0 0 0] popout

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actions

all output return to TRS Standard