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TRS Standard pair #487066873
details
property
value
status
complete
benchmark
lepper_3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
141.565 seconds
cpu usage
406.511
user time
395.787
system time
10.7238
max virtual memory
3.697794E7
max residence set size
1.413746E7
stage attributes
key
value
starexec-result
NO
output
NO 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 102 ms] (2) QDP (3) DependencyGraphProof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, 39.4 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, x4) -> x4 P(x1, x2, x3, x4) -> x3 P(x1, x2, x3, x4) -> x2 P(x1, x2, x3, x4) -> x1 M(x1, x2, x3, x4) -> x4 M(x1, x2, x3, x4) -> x3 M(x1, x2, x3, x4) -> x2 M(x1, x2, x3, x4) -> x1 J1(x1, x2) -> x2 J1(x1, x2) -> x1 J2(x1, x2, x3) -> x3 J2(x1, x2, x3) -> x2 J2(x1, x2, x3) -> x1 J3(x1, x2, x3, x4) -> x4 J3(x1, x2, x3, x4) -> x3 J3(x1, x2, x3, x4) -> x2 J3(x1, x2, x3, x4) -> 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 Q31(x1, x2, x3, x4) -> x4 Q31(x1, x2, x3, x4) -> x3 Q31(x1, x2, x3, x4) -> x2 Q31(x1, x2, x3, x4) -> x1 Q32(x1, x2, x3, x4) -> x4 Q32(x1, x2, x3, x4) -> x3 Q32(x1, x2, x3, x4) -> x2 Q32(x1, x2, x3, x4) -> x1 Q33(x1, x2, x3, x4) -> x4 Q33(x1, x2, x3, x4) -> x3 Q33(x1, x2, x3, x4) -> x2 Q33(x1, x2, x3, x4) -> 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 R3(x1, x2, x3, x4, x5) -> x5 R3(x1, x2, x3, x4, x5) -> x4 R3(x1, x2, x3, x4, x5) -> x3 R3(x1, x2, x3, x4, x5) -> x2 R3(x1, x2, x3, x4, x5) -> x1 P(0, 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, x4)) -> P(x1, x2, x3, l(x4)) a(P(x1, x2, x3, x4)) -> P(x1, x2, l(x3), x4) a(P(x1, x2, x3, x4)) -> P(x1, l(x2), x3, x4) a(P(x1, x2, x3, x4)) -> P(l(x1), x2, x3, x4) +(x, o(y)) -> o(+(x, y)) P(x1, x2, x3, o(x4)) -> o(P(x1, x2, x3, x4)) P(x1, x2, o(x3), x4) -> o(P(x1, x2, x3, x4))
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