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TRS Standard pair #516965805
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
n088.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
69.3180799484 seconds
cpu usage
199.630278644
max memory
6.39100928E9
stage attributes
key
value
output-size
33080
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 49 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 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, 11.9 s] (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)
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