details

property	value
status	complete
benchmark	MYNAT_nosorts_noand_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.8432700634 seconds
cpu usage	7.691013799
max memory	4.89926656E8

stage attributes

key	value
output-size	28818
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 382 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 51 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 68 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 26 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 32 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 14 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 0 ms] (14) QTRS (15) RisEmptyProof [EQUIVALENT, 0 ms] (16) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(U11(tt, M, N)) -> mark(U12(tt, M, N)) active(U12(tt, M, N)) -> mark(s(plus(N, M))) active(U21(tt, M, N)) -> mark(U22(tt, M, N)) active(U22(tt, M, N)) -> mark(plus(x(N, M), N)) active(plus(N, 0)) -> mark(N) active(plus(N, s(M))) -> mark(U11(tt, M, N)) active(x(N, 0)) -> mark(0) active(x(N, s(M))) -> mark(U21(tt, M, N)) mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) mark(tt) -> active(tt) mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(0) -> active(0) U11(mark(X1), X2, X3) -> U11(X1, X2, X3) U11(X1, mark(X2), X3) -> U11(X1, X2, X3) U11(X1, X2, mark(X3)) -> U11(X1, X2, X3) U11(active(X1), X2, X3) -> U11(X1, X2, X3) U11(X1, active(X2), X3) -> U11(X1, X2, X3) U11(X1, X2, active(X3)) -> U11(X1, X2, X3) U12(mark(X1), X2, X3) -> U12(X1, X2, X3) U12(X1, mark(X2), X3) -> U12(X1, X2, X3) U12(X1, X2, mark(X3)) -> U12(X1, X2, X3) U12(active(X1), X2, X3) -> U12(X1, X2, X3) U12(X1, active(X2), X3) -> U12(X1, X2, X3) U12(X1, X2, active(X3)) -> U12(X1, X2, X3) s(mark(X)) -> s(X) s(active(X)) -> s(X) plus(mark(X1), X2) -> plus(X1, X2) plus(X1, mark(X2)) -> plus(X1, X2) plus(active(X1), X2) -> plus(X1, X2) plus(X1, active(X2)) -> plus(X1, X2) U21(mark(X1), X2, X3) -> U21(X1, X2, X3) U21(X1, mark(X2), X3) -> U21(X1, X2, X3) U21(X1, X2, mark(X3)) -> U21(X1, X2, X3) U21(active(X1), X2, X3) -> U21(X1, X2, X3) U21(X1, active(X2), X3) -> U21(X1, X2, X3) U21(X1, X2, active(X3)) -> U21(X1, X2, X3) U22(mark(X1), X2, X3) -> U22(X1, X2, X3) U22(X1, mark(X2), X3) -> U22(X1, X2, X3) U22(X1, X2, mark(X3)) -> U22(X1, X2, X3) U22(active(X1), X2, X3) -> U22(X1, X2, X3) U22(X1, active(X2), X3) -> U22(X1, X2, X3) U22(X1, X2, active(X3)) -> U22(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(X1, X2) The set Q consists of the following terms: active(U11(tt, x0, x1)) active(U12(tt, x0, x1)) active(U21(tt, x0, x1)) active(U22(tt, x0, x1)) active(plus(x0, 0)) active(plus(x0, s(x1))) active(x(x0, 0)) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Innermost