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TRS_Equational 2019-03-21 05.09 pair #429997306
details
property
value
status
complete
benchmark
BAG_complete-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n049.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
45.3404 seconds
cpu usage
66.0059
user time
64.2666
system time
1.73931
max virtual memory
1.8395768E7
max residence set size
3965072.0
stage attributes
key
value
starexec-result
YES
output
65.49/45.17 YES 65.82/45.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 65.82/45.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 65.82/45.26 65.82/45.26 65.82/45.26 Termination of the given ETRS could be proven: 65.82/45.26 65.82/45.26 (0) ETRS 65.82/45.26 (1) EquationalDependencyPairsProof [EQUIVALENT, 96 ms] 65.82/45.26 (2) EDP 65.82/45.26 (3) EDependencyGraphProof [EQUIVALENT, 4 ms] 65.82/45.26 (4) AND 65.82/45.26 (5) EDP 65.82/45.26 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 65.82/45.26 (7) EDP 65.82/45.26 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 65.82/45.26 (9) EDP 65.82/45.26 (10) PisEmptyProof [EQUIVALENT, 0 ms] 65.82/45.26 (11) YES 65.82/45.26 (12) EDP 65.82/45.26 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 65.82/45.26 (14) EDP 65.82/45.26 (15) EUsableRulesReductionPairsProof [EQUIVALENT, 88 ms] 65.82/45.26 (16) EDP 65.82/45.26 (17) EDependencyGraphProof [EQUIVALENT, 0 ms] 65.82/45.26 (18) TRUE 65.82/45.26 (19) EDP 65.82/45.26 (20) ESharpUsableEquationsProof [EQUIVALENT, 1 ms] 65.82/45.26 (21) EDP 65.82/45.26 (22) EDPPoloProof [EQUIVALENT, 590 ms] 65.82/45.26 (23) EDP 65.82/45.26 (24) EDependencyGraphProof [EQUIVALENT, 0 ms] 65.82/45.26 (25) EDP 65.82/45.26 (26) EDPPoloProof [EQUIVALENT, 320 ms] 65.82/45.26 (27) EDP 65.82/45.26 (28) EDPPoloProof [EQUIVALENT, 295 ms] 65.82/45.26 (29) EDP 65.82/45.26 (30) PisEmptyProof [EQUIVALENT, 0 ms] 65.82/45.26 (31) YES 65.82/45.26 (32) EDP 65.82/45.26 (33) ESharpUsableEquationsProof [EQUIVALENT, 1 ms] 65.82/45.26 (34) EDP 65.82/45.26 (35) EDPPoloProof [EQUIVALENT, 17.8 s] 65.82/45.26 (36) EDP 65.82/45.26 (37) EDependencyGraphProof [EQUIVALENT, 0 ms] 65.82/45.26 (38) EDP 65.82/45.26 (39) EDPPoloProof [EQUIVALENT, 16.7 s] 65.82/45.26 (40) EDP 65.82/45.26 (41) EDependencyGraphProof [EQUIVALENT, 0 ms] 65.82/45.26 (42) EDP 65.82/45.26 (43) EDPPoloProof [EQUIVALENT, 466 ms] 65.82/45.26 (44) EDP 65.82/45.26 (45) PisEmptyProof [EQUIVALENT, 0 ms] 65.82/45.26 (46) YES 65.82/45.26 (47) EDP 65.82/45.26 (48) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 65.82/45.26 (49) EDP 65.82/45.26 (50) EUsableRulesReductionPairsProof [EQUIVALENT, 6 ms] 65.82/45.26 (51) EDP 65.82/45.26 (52) EDependencyGraphProof [EQUIVALENT, 0 ms] 65.82/45.26 (53) TRUE 65.82/45.26 (54) EDP 65.82/45.26 (55) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 65.82/45.26 (56) EDP 65.82/45.26 (57) EUsableRulesReductionPairsProof [EQUIVALENT, 13 ms] 65.82/45.26 (58) EDP 65.82/45.26 (59) EDependencyGraphProof [EQUIVALENT, 0 ms] 65.82/45.26 (60) TRUE 65.82/45.26 65.82/45.26 65.82/45.26 ---------------------------------------- 65.82/45.26 65.82/45.26 (0) 65.82/45.26 Obligation: 65.82/45.26 Equational rewrite system: 65.82/45.26 The TRS R consists of the following rules: 65.82/45.26 65.82/45.26 union(X, empty) -> X 65.82/45.26 union(empty, X) -> X 65.82/45.26 0(z) -> z 65.82/45.26 U101(tt, V1) -> U102(isBagKind(V1), V1) 65.82/45.26 U102(tt, V1) -> U103(isBag(V1)) 65.82/45.26 U103(tt) -> tt 65.82/45.26 U11(tt, V1) -> U12(isBinKind(V1), V1) 65.82/45.26 U111(tt) -> tt 65.82/45.26 U12(tt, V1) -> U13(isBin(V1)) 65.82/45.26 U121(tt) -> tt 65.82/45.26 U13(tt) -> tt 65.82/45.26 U131(tt, V2) -> U132(isBinKind(V2)) 65.82/45.26 U132(tt) -> tt 65.82/45.26 U141(tt, V2) -> U142(isBinKind(V2)) 65.82/45.26 U142(tt) -> tt 65.82/45.26 U151(tt) -> tt 65.82/45.26 U161(tt) -> tt 65.82/45.26 U171(tt, X) -> U172(isBinKind(X)) 65.82/45.26 U172(tt) -> z 65.82/45.26 U181(tt, X, Y) -> U182(isBinKind(X), X, Y) 65.82/45.26 U182(tt, X, Y) -> U183(isBin(Y), X, Y) 65.82/45.26 U183(tt, X, Y) -> U184(isBinKind(Y), X, Y) 65.82/45.26 U184(tt, X, Y) -> 0(mult(X, Y))
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