details

property	value
status	complete
benchmark	PEANO_nosorts_noand_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	3.25194 seconds
cpu usage	11.4367
user time	9.8177
system time	1.619
max virtual memory	2035756.0
max residence set size	142328.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: active(U11(tt(),M,N)) -> mark(U12(tt(),M,N)) active(U12(tt(),M,N)) -> mark(s(plus(N,M))) active(plus(N,0())) -> mark(N) active(plus(N,s(M))) -> mark(U11(tt(),M,N)) active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3) active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3) active(s(X)) -> s(active(X)) active(plus(X1,X2)) -> plus(active(X1),X2) active(plus(X1,X2)) -> plus(X1,active(X2)) U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3)) U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3)) s(mark(X)) -> mark(s(X)) plus(mark(X1),X2) -> mark(plus(X1,X2)) plus(X1,mark(X2)) -> mark(plus(X1,X2)) proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3)) proper(tt()) -> ok(tt()) proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3)) proper(s(X)) -> s(proper(X)) proper(plus(X1,X2)) -> plus(proper(X1),proper(X2)) proper(0()) -> ok(0()) U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3)) U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3)) s(ok(X)) -> ok(s(X)) plus(ok(X1),ok(X2)) -> ok(plus(X1,X2)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [mark](x0) = [0 0 0]x0 [0 0 0] , [proper](x0) = x0 , [1 0 0] [1 0 0] [1 0 0] [U11](x0, x1, x2) = [1 0 0]x0 + [0 0 0]x1 + [1 0 1]x2 [1 0 0] [0 0 0] [1 0 0] , [1 0 0] [1 0 0] [1 0 0] [U12](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [1 0 0]x2 [0 0 0] [0 0 0] [1 0 0] , [1 0 0] [1 0 0] [1] [plus](x0, x1) = [1 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [0], [1 0 0] [top](x0) = [0 0 0]x0 [0 0 0] , [1] [tt] = [0] [0], [0] [0] = [0] [0], [ok](x0) = x0 , [1 0 0] [0] [s](x0) = [0 1 0]x0 + [1] [0 1 0] [1], [1 0 0] [active](x0) = [0 1 0]x0 [0 1 0] orientation: [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] [1] active(U11(tt(),M,N)) = [0 0 0]M + [1 0 1]N + [1] >= [0 0 0]M + [0 0 0]N + [0] = mark(U12(tt(),M,N)) [0 0 0] [1 0 1] [1] [0 0 0] [0 0 0] [0] [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] [1] active(U12(tt(),M,N)) = [0 0 0]M + [1 0 0]N + [0] >= [0 0 0]M + [0 0 0]N + [0] = mark(s(plus(N,M))) [0 0 0] [1 0 0] [0] [0 0 0] [0 0 0] [0] [1 0 0] [1] [1 0 0] active(plus(N,0())) = [1 0 0]N + [0] >= [0 0 0]N = mark(N) [1 0 0] [0] [0 0 0] [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] [1] active(plus(N,s(M))) = [0 0 0]M + [1 0 0]N + [0] >= [0 0 0]M + [0 0 0]N + [0] = mark(U11(tt(),M,N)) [0 0 0] [1 0 0] [0] [0 0 0] [0 0 0] [0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] active(U11(X1,X2,X3)) = [1 0 0]X1 + [0 0 0]X2 + [1 0 1]X3 >= [1 0 0]X1 + [0 0 0]X2 + [1 0 1]X3 = U11(active(X1),X2,X3) [1 0 0] [0 0 0] [1 0 1] [1 0 0] [0 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] active(U12(X1,X2,X3)) = [0 0 0]X1 + [0 0 0]X2 + [1 0 0]X3 >= [0 0 0]X1 + [0 0 0]X2 + [1 0 0]X3 = U12(active(X1),X2,X3) popout

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actions

all output return to TRS Standard