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TRS Equational pair #487523241
details
property
value
status
complete
benchmark
BAG_nokinds.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n184.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.6754720211 seconds
cpu usage
20.780453015
max memory
1.871138816E9
stage attributes
key
value
output-size
109154
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EquationalDependencyPairsProof [EQUIVALENT, 141 ms] (2) EDP (3) EDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) EDP (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (7) EDP (8) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (9) EDP (10) PisEmptyProof [EQUIVALENT, 0 ms] (11) YES (12) EDP (13) ESharpUsableEquationsProof [EQUIVALENT, 29 ms] (14) EDP (15) EDPPoloProof [EQUIVALENT, 88 ms] (16) EDP (17) EDependencyGraphProof [EQUIVALENT, 0 ms] (18) EDP (19) EDPPoloProof [EQUIVALENT, 42 ms] (20) EDP (21) PisEmptyProof [EQUIVALENT, 0 ms] (22) YES (23) EDP (24) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (25) EDP (26) EDPPoloProof [EQUIVALENT, 820 ms] (27) EDP (28) EDependencyGraphProof [EQUIVALENT, 0 ms] (29) EDP (30) EDPPoloProof [EQUIVALENT, 762 ms] (31) EDP (32) EDPPoloProof [EQUIVALENT, 573 ms] (33) EDP (34) EDependencyGraphProof [EQUIVALENT, 0 ms] (35) EDP (36) EDPPoloProof [EQUIVALENT, 108 ms] (37) EDP (38) EDPPoloProof [EQUIVALENT, 107 ms] (39) EDP (40) PisEmptyProof [EQUIVALENT, 0 ms] (41) YES (42) EDP (43) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (44) EDP (45) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (46) EDP (47) PisEmptyProof [EQUIVALENT, 0 ms] (48) YES (49) EDP (50) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (51) EDP (52) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (53) EDP (54) EDependencyGraphProof [EQUIVALENT, 0 ms] (55) 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) -> X U11(tt) -> z U111(tt, A, B) -> plus(sum(A), sum(B)) U21(tt, X, Y) -> 0(mult(X, Y)) U31(tt, X, Y) -> plus(0(mult(X, Y)), Y) U41(tt, X) -> X U51(tt, X, Y) -> 0(plus(X, Y)) U61(tt, X, Y) -> 1(plus(X, Y)) U71(tt, X, Y) -> 0(plus(plus(X, Y), 1(z))) U81(tt, X) -> X U91(tt, A, B) -> mult(prod(A), prod(B)) and(tt, X) -> X isBag(empty) -> tt isBag(singl(V1)) -> isBin(V1) isBag(union(V1, V2)) -> and(isBag(V1), isBag(V2)) isBin(z) -> tt isBin(0(V1)) -> isBin(V1) isBin(1(V1)) -> isBin(V1) isBin(mult(V1, V2)) -> and(isBin(V1), isBin(V2))
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