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TRS Standard pair #487069483
details
property
value
status
complete
benchmark
Ex5_DLMMU04_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.0568 seconds
cpu usage
18.7492
user time
17.9998
system time
0.749388
max virtual memory
1.9180272E7
max residence set size
1197940.0
stage attributes
key
value
starexec-result
YES
output
YES 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 193 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 47 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 44 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 48 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QDP (12) UsableRulesProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) UsableRulesProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) UsableRulesProof [EQUIVALENT, 0 ms] (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) UsableRulesProof [EQUIVALENT, 0 ms] (33) QDP (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] (35) YES (36) QDP (37) UsableRulesProof [EQUIVALENT, 0 ms] (38) QDP (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] (40) YES (41) QDP (42) UsableRulesProof [EQUIVALENT, 0 ms] (43) QDP (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] (45) YES (46) QDP (47) UsableRulesProof [EQUIVALENT, 0 ms] (48) QDP (49) QDPSizeChangeProof [EQUIVALENT, 0 ms] (50) YES (51) QDP (52) MRRProof [EQUIVALENT, 107 ms] (53) QDP (54) MRRProof [EQUIVALENT, 108 ms] (55) QDP (56) MRRProof [EQUIVALENT, 124 ms] (57) QDP (58) MRRProof [EQUIVALENT, 142 ms] (59) QDP (60) QDPOrderProof [EQUIVALENT, 208 ms] (61) QDP (62) DependencyGraphProof [EQUIVALENT, 0 ms] (63) QDP (64) QDPOrderProof [EQUIVALENT, 69 ms] (65) QDP (66) QDPOrderProof [EQUIVALENT, 88 ms] (67) QDP (68) QDPOrderProof [EQUIVALENT, 173 ms] (69) QDP (70) QDPOrderProof [EQUIVALENT, 92 ms] (71) QDP (72) QDPOrderProof [EQUIVALENT, 0 ms] (73) QDP (74) UsableRulesProof [EQUIVALENT, 0 ms] (75) QDP (76) QDPSizeChangeProof [EQUIVALENT, 0 ms] (77) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(pairNs) -> mark(cons(0, incr(oddNs))) active(oddNs) -> mark(incr(pairNs)) active(incr(cons(X, XS))) -> mark(cons(s(X), incr(XS))) active(take(0, XS)) -> mark(nil) active(take(s(N), cons(X, XS))) -> mark(cons(X, take(N, XS))) active(zip(nil, XS)) -> mark(nil)
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