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TRS Standard pair #487072228
details
property
value
status
complete
benchmark
aprove06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.45376 seconds
cpu usage
19.0729
user time
18.4063
system time
0.666599
max virtual memory
3.8048448E7
max residence set size
1104628.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 27 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QReductionProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QReductionProof [EQUIVALENT, 0 ms] (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) UsableRulesProof [EQUIVALENT, 0 ms] (30) QDP (31) QReductionProof [EQUIVALENT, 0 ms] (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] (34) YES (35) QDP (36) UsableRulesProof [EQUIVALENT, 0 ms] (37) QDP (38) QReductionProof [EQUIVALENT, 0 ms] (39) QDP (40) NonInfProof [EQUIVALENT, 108 ms] (41) AND (42) QDP (43) DependencyGraphProof [EQUIVALENT, 0 ms] (44) TRUE (45) QDP (46) DependencyGraphProof [EQUIVALENT, 0 ms] (47) TRUE (48) QDP (49) UsableRulesProof [EQUIVALENT, 0 ms] (50) QDP (51) QReductionProof [EQUIVALENT, 0 ms] (52) QDP (53) TransformationProof [EQUIVALENT, 0 ms] (54) QDP (55) DependencyGraphProof [EQUIVALENT, 0 ms] (56) QDP (57) UsableRulesProof [EQUIVALENT, 0 ms] (58) QDP (59) QReductionProof [EQUIVALENT, 0 ms] (60) QDP (61) QDPOrderProof [EQUIVALENT, 0 ms] (62) QDP (63) DependencyGraphProof [EQUIVALENT, 0 ms] (64) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: le(s(x), 0) -> false le(0, y) -> true le(s(x), s(y)) -> le(x, y) double(0) -> 0 double(s(x)) -> s(s(double(x))) log(0) -> logError log(s(x)) -> loop(s(x), s(0), 0) loop(x, s(y), z) -> if(le(x, s(y)), x, s(y), z) if(true, x, y, z) -> z if(false, x, y, z) -> loop(x, double(y), s(z)) maplog(xs) -> mapIter(xs, nil) mapIter(xs, ys) -> ifmap(isempty(xs), xs, ys) ifmap(true, xs, ys) -> ys ifmap(false, xs, ys) -> mapIter(droplast(xs), cons(log(last(xs)), ys)) isempty(nil) -> true isempty(cons(x, xs)) -> false last(nil) -> error last(cons(x, nil)) -> x last(cons(x, cons(y, xs))) -> last(cons(y, xs))
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