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TRS_Innermost 2019-03-28 22.12 pair #432271228
details
property
value
status
complete
benchmark
ExSec11_1_Luc02a_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.55638 seconds
cpu usage
13.5331
user time
13.016
system time
0.51712
max virtual memory
3.6446276E7
max residence set size
1105320.0
stage attributes
key
value
starexec-result
YES
output
12.69/4.50 YES 12.69/4.52 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 12.69/4.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.69/4.52 12.69/4.52 12.69/4.52 Termination w.r.t. Q of the given QTRS could be proven: 12.69/4.52 12.69/4.52 (0) QTRS 12.69/4.52 (1) DependencyPairsProof [EQUIVALENT, 56 ms] 12.69/4.52 (2) QDP 12.69/4.52 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 12.69/4.52 (4) AND 12.69/4.52 (5) QDP 12.69/4.52 (6) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (7) QDP 12.69/4.52 (8) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (9) QDP 12.69/4.52 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (11) YES 12.69/4.52 (12) QDP 12.69/4.52 (13) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (14) QDP 12.69/4.52 (15) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (16) QDP 12.69/4.52 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (18) YES 12.69/4.52 (19) QDP 12.69/4.52 (20) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (21) QDP 12.69/4.52 (22) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (23) QDP 12.69/4.52 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (25) YES 12.69/4.52 (26) QDP 12.69/4.52 (27) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (28) QDP 12.69/4.52 (29) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (30) QDP 12.69/4.52 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (32) YES 12.69/4.52 (33) QDP 12.69/4.52 (34) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (35) QDP 12.69/4.52 (36) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (37) QDP 12.69/4.52 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (39) YES 12.69/4.52 (40) QDP 12.69/4.52 (41) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (42) QDP 12.69/4.52 (43) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (44) QDP 12.69/4.52 (45) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (46) YES 12.69/4.52 (47) QDP 12.69/4.52 (48) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (49) QDP 12.69/4.52 (50) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (51) QDP 12.69/4.52 (52) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (53) YES 12.69/4.52 (54) QDP 12.69/4.52 (55) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (56) QDP 12.69/4.52 (57) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (58) QDP 12.69/4.52 (59) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (60) YES 12.69/4.52 (61) QDP 12.69/4.52 (62) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (63) QDP 12.69/4.52 (64) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (65) QDP 12.69/4.52 (66) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (67) YES 12.69/4.52 (68) QDP 12.69/4.52 (69) QDPQMonotonicMRRProof [EQUIVALENT, 277 ms] 12.69/4.52 (70) QDP 12.69/4.52 (71) QDPOrderProof [EQUIVALENT, 373 ms] 12.69/4.52 (72) QDP 12.69/4.52 (73) DependencyGraphProof [EQUIVALENT, 0 ms] 12.69/4.52 (74) QDP 12.69/4.52 (75) UsableRulesProof [EQUIVALENT, 0 ms] 12.69/4.52 (76) QDP 12.69/4.52 (77) QReductionProof [EQUIVALENT, 0 ms] 12.69/4.52 (78) QDP 12.69/4.52 (79) QDPSizeChangeProof [EQUIVALENT, 0 ms] 12.69/4.52 (80) YES 12.69/4.52 12.69/4.52 12.69/4.52 ---------------------------------------- 12.69/4.52 12.69/4.52 (0) 12.69/4.52 Obligation: 12.69/4.52 Q restricted rewrite system: 12.69/4.52 The TRS R consists of the following rules: 12.69/4.52 12.69/4.52 active(terms(N)) -> mark(cons(recip(sqr(N)), terms(s(N)))) 12.69/4.52 active(sqr(0)) -> mark(0) 12.69/4.52 active(sqr(s(X))) -> mark(s(add(sqr(X), dbl(X))))
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