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TRS Innermost pair #487093101
details
property
value
status
complete
benchmark
Ex1_Luc04b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.54064 seconds
cpu usage
10.091
user time
9.66451
system time
0.426503
max virtual memory
3.6704636E7
max residence set size
658284.0
stage attributes
key
value
starexec-result
YES
output
YES 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 126 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 31 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 55 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QReductionProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) UsableRulesProof [EQUIVALENT, 0 ms] (18) QDP (19) QReductionProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) UsableRulesProof [EQUIVALENT, 0 ms] (25) QDP (26) QReductionProof [EQUIVALENT, 0 ms] (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES (30) QDP (31) UsableRulesProof [EQUIVALENT, 0 ms] (32) QDP (33) QReductionProof [EQUIVALENT, 0 ms] (34) QDP (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] (36) YES (37) QDP (38) UsableRulesProof [EQUIVALENT, 0 ms] (39) QDP (40) QReductionProof [EQUIVALENT, 0 ms] (41) QDP (42) QDPSizeChangeProof [EQUIVALENT, 0 ms] (43) YES (44) QDP (45) MRRProof [EQUIVALENT, 39 ms] (46) QDP (47) MRRProof [EQUIVALENT, 63 ms] (48) QDP (49) QDPOrderProof [EQUIVALENT, 143 ms] (50) QDP (51) QDPOrderProof [EQUIVALENT, 27 ms] (52) QDP (53) DependencyGraphProof [EQUIVALENT, 0 ms] (54) QDP (55) QDPQMonotonicMRRProof [EQUIVALENT, 27 ms] (56) QDP (57) QDPOrderProof [EQUIVALENT, 24 ms] (58) QDP (59) DependencyGraphProof [EQUIVALENT, 0 ms] (60) QDP (61) UsableRulesProof [EQUIVALENT, 0 ms] (62) QDP (63) QReductionProof [EQUIVALENT, 0 ms] (64) QDP (65) QDPSizeChangeProof [EQUIVALENT, 0 ms] (66) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(nats) -> mark(cons(0, incr(nats))) active(pairs) -> mark(cons(0, incr(odds))) active(odds) -> mark(incr(pairs)) active(incr(cons(X, XS))) -> mark(cons(s(X), incr(XS))) active(head(cons(X, XS))) -> mark(X) active(tail(cons(X, XS))) -> mark(XS) mark(nats) -> active(nats) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(0) -> active(0) mark(incr(X)) -> active(incr(mark(X))) mark(pairs) -> active(pairs) mark(odds) -> active(odds) mark(s(X)) -> active(s(mark(X))) mark(head(X)) -> active(head(mark(X))) mark(tail(X)) -> active(tail(mark(X))) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2)
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