details

property	value
status	complete
benchmark	lepper_2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Hydras

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	30.8406 seconds
cpu usage	87.8052
user time	84.7224
system time	3.08281
max virtual memory	1.8630744E7
max residence set size	5730964.0

stage attributes

key	value
starexec-result	NO

output

NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 3 ms] (4) QDP (5) TransformationProof [EQUIVALENT, 0 ms] (6) QDP (7) TransformationProof [EQUIVALENT, 0 ms] (8) QDP (9) TransformationProof [EQUIVALENT, 0 ms] (10) QDP (11) NonTerminationLoopProof [COMPLETE, 9631 ms] (12) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(x1) -> x1 o(x1) -> x1 l(x1) -> x1 S(x1) -> x1 +(x1, x2) -> x2 +(x1, x2) -> x1 P(x1, x2, x3) -> x3 P(x1, x2, x3) -> x2 P(x1, x2, x3) -> x1 M(x1, x2, x3) -> x3 M(x1, x2, x3) -> x2 M(x1, x2, x3) -> x1 J1(x1, x2) -> x2 J1(x1, x2) -> x1 J2(x1, x2, x3) -> x3 J2(x1, x2, x3) -> x2 J2(x1, x2, x3) -> x1 Q11(x1, x2) -> x2 Q11(x1, x2) -> x1 Q21(x1, x2, x3) -> x3 Q21(x1, x2, x3) -> x2 Q21(x1, x2, x3) -> x1 Q22(x1, x2, x3) -> x3 Q22(x1, x2, x3) -> x2 Q22(x1, x2, x3) -> x1 R1(x1, x2, x3) -> x3 R1(x1, x2, x3) -> x2 R1(x1, x2, x3) -> x1 R2(x1, x2, x3, x4) -> x4 R2(x1, x2, x3, x4) -> x3 R2(x1, x2, x3, x4) -> x2 R2(x1, x2, x3, x4) -> x1 P(0, 0, 0) -> S(0) +(x, S(y)) -> S(+(x, y)) a(l(x)) -> l(a(a(x))) l(o(x)) -> o(l(l(x))) o(x) -> l(x) l(x) -> a(x) a(S(x)) -> S(l(x)) a(+(x, y)) -> +(l(x), y) a(+(x, y)) -> +(x, l(y)) a(P(x1, x2, x3)) -> P(x1, x2, l(x3)) a(P(x1, x2, x3)) -> P(x1, l(x2), x3) a(P(x1, x2, x3)) -> P(l(x1), x2, x3) +(x, o(y)) -> o(+(x, y)) P(x1, x2, o(x3)) -> o(P(x1, x2, x3)) P(x1, o(x2), x3) -> o(P(x1, x2, x3)) P(o(x1), x2, x3) -> o(P(x1, x2, x3)) M(x1, x2, l(y)) -> +(M(x1, x2, y), P(x1, x2, y)) J2(x1, l(x2), y) -> P(x1, J2(x1, x2, y), 0) J1(l(x1), y) -> P(J1(x1, y), 0, 0) a(S(x)) -> o(x) P(0, 0, S(y)) -> o(M(0, 0, y)) P(0, 0, P(x1, x2, y)) -> o(M(x1, x2, y)) P(x1, S(x2), y) -> o(J2(x1, x2, y)) P(S(x1), 0, y) -> o(J1(x1, y)) P(x1, S(x2), S(y)) -> o(J2(x1, x2, P(x1, S(x2), y))) P(S(x1), 0, S(y)) -> o(J1(x1, P(S(x1), 0, y))) a(P(x1, x2, 0)) -> Q22(x1, a(x2), x2) a(P(x1, x2, 0)) -> Q21(x1, a(x2), x1) a(P(x1, 0, 0)) -> Q11(a(x1), x1) Q22(x1, o(x2), y) -> o(P(x1, x2, y)) Q21(x1, o(x2), y) -> o(P(x1, x2, y)) Q11(o(x1), y) -> o(P(x1, 0, y)) a(P(x1, x2, S(y))) -> R2(x1, a(x2), x2, y) a(P(x1, 0, S(y))) -> R1(a(x1), x1, y) R2(x1, o(x2), y, z) -> o(P(x1, x2, P(x1, y, z))) R1(o(x1), y, z) -> o(P(x1, 0, P(y, 0, z))) Q is empty. popout

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

job log

popout

actions

all output return to TRS Standard