details

property	value
status	complete
benchmark	MYNAT_complete_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n103.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.9570980072 seconds
cpu usage	8.55636795
max memory	4.87522304E8

stage attributes

key	value
output-size	28662
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 743 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 203 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 4 ms] (6) QTRS (7) RisEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) active(U12(tt, V2)) -> mark(U13(isNat(V2))) active(U13(tt)) -> mark(tt) active(U21(tt, V1)) -> mark(U22(isNat(V1))) active(U22(tt)) -> mark(tt) active(U31(tt, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) active(and(tt, X)) -> mark(X) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)) active(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) mark(tt) -> active(tt) mark(U12(X1, X2)) -> active(U12(mark(X1), X2)) mark(isNat(X)) -> active(isNat(X)) mark(U13(X)) -> active(U13(mark(X))) mark(U21(X1, X2)) -> active(U21(mark(X1), X2)) mark(U22(X)) -> active(U22(mark(X))) mark(U31(X1, X2, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0) -> active(0) mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) mark(isNatKind(X)) -> active(isNatKind(X)) 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) -> U12(X1, X2) U12(X1, mark(X2)) -> U12(X1, X2) U12(active(X1), X2) -> U12(X1, X2) U12(X1, active(X2)) -> U12(X1, X2) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) U13(mark(X)) -> U13(X) U13(active(X)) -> U13(X) U21(mark(X1), X2) -> U21(X1, X2) U21(X1, mark(X2)) -> U21(X1, X2) U21(active(X1), X2) -> U21(X1, X2) U21(X1, active(X2)) -> U21(X1, X2) U22(mark(X)) -> U22(X) U22(active(X)) -> U22(X) U31(mark(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) popout

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

job log

popout

actions

all output return to TRS Inner 89993