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TRS Equational pair #487523256
details
property
value
status
complete
benchmark
BAG_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.80596494675 seconds
cpu usage
15.629438174
max memory
1.174884352E9
stage attributes
key
value
output-size
126303
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EquationalDependencyPairsProof [EQUIVALENT, 106 ms] (2) EDP (3) EDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) EDP (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (7) EDP (8) EUsableRulesReductionPairsProof [EQUIVALENT, 28 ms] (9) EDP (10) EDependencyGraphProof [EQUIVALENT, 0 ms] (11) TRUE (12) EDP (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (14) EDP (15) EDPPoloProof [EQUIVALENT, 70 ms] (16) EDP (17) EDependencyGraphProof [EQUIVALENT, 0 ms] (18) EDP (19) EDPPoloProof [EQUIVALENT, 38 ms] (20) EDP (21) EDPPoloProof [EQUIVALENT, 64 ms] (22) EDP (23) EDependencyGraphProof [EQUIVALENT, 0 ms] (24) EDP (25) EDPPoloProof [EQUIVALENT, 21 ms] (26) EDP (27) PisEmptyProof [EQUIVALENT, 0 ms] (28) YES (29) EDP (30) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (31) EDP (32) EUsableRulesReductionPairsProof [EQUIVALENT, 25 ms] (33) EDP (34) PisEmptyProof [EQUIVALENT, 0 ms] (35) YES (36) EDP (37) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (38) EDP (39) EDPPoloProof [EQUIVALENT, 219 ms] (40) EDP (41) EDependencyGraphProof [EQUIVALENT, 0 ms] (42) EDP (43) EDPPoloProof [EQUIVALENT, 155 ms] (44) EDP (45) EDependencyGraphProof [EQUIVALENT, 0 ms] (46) EDP (47) EDPPoloProof [EQUIVALENT, 54 ms] (48) EDP (49) PisEmptyProof [EQUIVALENT, 0 ms] (50) YES (51) EDP (52) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (53) EDP (54) EUsableRulesReductionPairsProof [EQUIVALENT, 11 ms] (55) EDP (56) EDependencyGraphProof [EQUIVALENT, 0 ms] (57) TRUE ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: union(X, empty) -> X union(empty, X) -> X 0(z) -> z U101(tt, X, Y) -> U102(isBin(Y), X, Y) U102(tt, X, Y) -> 0(mult(X, Y)) U11(tt) -> tt U111(tt, X, Y) -> U112(isBin(Y), X, Y) U112(tt, X, Y) -> plus(0(mult(X, Y)), Y) U121(tt, X) -> X U131(tt, X, Y) -> U132(isBin(Y), X, Y) U132(tt, X, Y) -> 0(plus(X, Y)) U141(tt, X, Y) -> U142(isBin(Y), X, Y) U142(tt, X, Y) -> 1(plus(X, Y)) U151(tt, X, Y) -> U152(isBin(Y), X, Y) U152(tt, X, Y) -> 0(plus(plus(X, Y), 1(z))) U161(tt, X) -> X U171(tt, A, B) -> U172(isBag(B), A, B) U172(tt, A, B) -> mult(prod(A), prod(B)) U181(tt, X) -> X U191(tt, A, B) -> U192(isBag(B), A, B)
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