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TRS Stand 20472 pair #381716972
details
property
value
status
complete
benchmark
Ex4_DLMMU04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.789839983 seconds
cpu usage
47.095189233
max memory
1.710780416E9
stage attributes
key
value
output-size
90038
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) QDP (5) QDPOrderProof [EQUIVALENT, 229 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) QDPOrderProof [EQUIVALENT, 246 ms] (11) QDP (12) DependencyGraphProof [EQUIVALENT, 0 ms] (13) TRUE (14) QDP (15) QDPOrderProof [EQUIVALENT, 112 ms] (16) QDP (17) QDPOrderProof [EQUIVALENT, 93 ms] (18) QDP (19) QDPOrderProof [EQUIVALENT, 107 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 92 ms] (22) QDP (23) DependencyGraphProof [EQUIVALENT, 0 ms] (24) AND (25) QDP (26) UsableRulesProof [EQUIVALENT, 0 ms] (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES (30) QDP (31) QDPOrderProof [EQUIVALENT, 28 ms] (32) QDP (33) QDPOrderProof [EQUIVALENT, 259 ms] (34) QDP (35) QDPOrderProof [EQUIVALENT, 107 ms] (36) QDP (37) DependencyGraphProof [EQUIVALENT, 0 ms] (38) QDP (39) QDPOrderProof [EQUIVALENT, 105 ms] (40) QDP (41) DependencyGraphProof [EQUIVALENT, 0 ms] (42) QDP (43) UsableRulesProof [EQUIVALENT, 0 ms] (44) QDP (45) QDPSizeChangeProof [EQUIVALENT, 0 ms] (46) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__and(tt, T) -> mark(T) a__isNatIList(IL) -> a__isNatList(IL) a__isNat(0) -> tt a__isNat(s(N)) -> a__isNat(N) a__isNat(length(L)) -> a__isNatList(L) a__isNatIList(zeros) -> tt a__isNatIList(cons(N, IL)) -> a__and(a__isNat(N), a__isNatIList(IL)) a__isNatList(nil) -> tt a__isNatList(cons(N, L)) -> a__and(a__isNat(N), a__isNatList(L)) a__isNatList(take(N, IL)) -> a__and(a__isNat(N), a__isNatIList(IL)) a__zeros -> cons(0, zeros) a__take(0, IL) -> a__uTake1(a__isNatIList(IL)) a__uTake1(tt) -> nil a__take(s(M), cons(N, IL)) -> a__uTake2(a__and(a__isNat(M), a__and(a__isNat(N), a__isNatIList(IL))), M, N, IL) a__uTake2(tt, M, N, IL) -> cons(mark(N), take(M, IL)) a__length(cons(N, L)) -> a__uLength(a__and(a__isNat(N), a__isNatList(L)), L) a__uLength(tt, L) -> s(a__length(mark(L))) mark(and(X1, X2)) -> a__and(mark(X1), mark(X2)) mark(isNatIList(X)) -> a__isNatIList(X) mark(isNatList(X)) -> a__isNatList(X) mark(isNat(X)) -> a__isNat(X) mark(length(X)) -> a__length(mark(X)) mark(zeros) -> a__zeros mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) mark(uTake1(X)) -> a__uTake1(mark(X)) mark(uTake2(X1, X2, X3, X4)) -> a__uTake2(mark(X1), X2, X3, X4) mark(uLength(X1, X2)) -> a__uLength(mark(X1), X2) mark(tt) -> tt mark(0) -> 0 mark(s(X)) -> s(mark(X)) mark(cons(X1, X2)) -> cons(mark(X1), X2)
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