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TRS Innermost pair #487093023
details
property
value
status
complete
benchmark
ExIntrod_GM04_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.00508 seconds
cpu usage
8.31032
user time
7.93304
system time
0.377277
max virtual memory
1.9294576E7
max residence set size
570620.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 112 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 23 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 20 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 14 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QDP (12) UsableRulesProof [EQUIVALENT, 0 ms] (13) QDP (14) QReductionProof [EQUIVALENT, 0 ms] (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) QReductionProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) UsableRulesProof [EQUIVALENT, 0 ms] (27) QDP (28) QReductionProof [EQUIVALENT, 0 ms] (29) QDP (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] (31) YES (32) QDP (33) UsableRulesProof [EQUIVALENT, 0 ms] (34) QDP (35) QReductionProof [EQUIVALENT, 0 ms] (36) QDP (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] (38) YES (39) QDP (40) UsableRulesProof [EQUIVALENT, 0 ms] (41) QDP (42) QReductionProof [EQUIVALENT, 0 ms] (43) QDP (44) QDPSizeChangeProof [EQUIVALENT, 0 ms] (45) YES (46) QDP (47) UsableRulesProof [EQUIVALENT, 0 ms] (48) QDP (49) QReductionProof [EQUIVALENT, 0 ms] (50) QDP (51) QDPSizeChangeProof [EQUIVALENT, 0 ms] (52) YES (53) QDP (54) UsableRulesProof [EQUIVALENT, 0 ms] (55) QDP (56) MRRProof [EQUIVALENT, 11 ms] (57) QDP (58) MRRProof [EQUIVALENT, 17 ms] (59) QDP (60) MRRProof [EQUIVALENT, 31 ms] (61) QDP (62) QDPQMonotonicMRRProof [EQUIVALENT, 40 ms] (63) QDP (64) QDPOrderProof [EQUIVALENT, 0 ms] (65) QDP (66) UsableRulesProof [EQUIVALENT, 0 ms] (67) QDP (68) QReductionProof [EQUIVALENT, 0 ms] (69) QDP (70) QDPSizeChangeProof [EQUIVALENT, 0 ms] (71) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(nats) -> mark(adx(zeros)) active(zeros) -> mark(cons(0, zeros)) active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y))) active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y)))) active(hd(cons(X, Y))) -> mark(X) active(tl(cons(X, Y))) -> mark(Y) mark(nats) -> active(nats) mark(adx(X)) -> active(adx(mark(X))) mark(zeros) -> active(zeros) mark(cons(X1, X2)) -> active(cons(X1, X2)) mark(0) -> active(0) mark(incr(X)) -> active(incr(mark(X)))
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