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TRS Conte Sensi 17651 pair #381733317
details
property
value
status
complete
benchmark
PALINDROME_complete.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.33271384239 seconds
cpu usage
6.511803094
max memory
4.50527232E8
stage attributes
key
value
output-size
57533
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 93 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 18 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 16 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 9 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 5 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 10 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 23 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 0 ms] (22) CSR (23) CSRRRRProof [EQUIVALENT, 5 ms] (24) CSR (25) CSRRRRProof [EQUIVALENT, 0 ms] (26) CSR (27) CSRRRRProof [EQUIVALENT, 0 ms] (28) CSR (29) CSRRRRProof [EQUIVALENT, 5 ms] (30) CSR (31) RisEmptyProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X U11(tt, V) -> U12(isNeList(V)) U12(tt) -> tt U21(tt, V1, V2) -> U22(isList(V1), V2) U22(tt, V2) -> U23(isList(V2)) U23(tt) -> tt U31(tt, V) -> U32(isQid(V)) U32(tt) -> tt U41(tt, V1, V2) -> U42(isList(V1), V2) U42(tt, V2) -> U43(isNeList(V2)) U43(tt) -> tt U51(tt, V1, V2) -> U52(isNeList(V1), V2) U52(tt, V2) -> U53(isList(V2)) U53(tt) -> tt U61(tt, V) -> U62(isQid(V)) U62(tt) -> tt U71(tt, V) -> U72(isNePal(V)) U72(tt) -> tt and(tt, X) -> X isList(V) -> U11(isPalListKind(V), V) isList(nil) -> tt isList(__(V1, V2)) -> U21(and(isPalListKind(V1), isPalListKind(V2)), V1, V2) isNeList(V) -> U31(isPalListKind(V), V) isNeList(__(V1, V2)) -> U41(and(isPalListKind(V1), isPalListKind(V2)), V1, V2) isNeList(__(V1, V2)) -> U51(and(isPalListKind(V1), isPalListKind(V2)), V1, V2) isNePal(V) -> U61(isPalListKind(V), V) isNePal(__(I, __(P, I))) -> and(and(isQid(I), isPalListKind(I)), and(isPal(P), isPalListKind(P))) isPal(V) -> U71(isPalListKind(V), V) isPal(nil) -> tt isPalListKind(a) -> tt isPalListKind(e) -> tt isPalListKind(i) -> tt isPalListKind(nil) -> tt isPalListKind(o) -> tt isPalListKind(u) -> tt isPalListKind(__(V1, V2)) -> and(isPalListKind(V1), isPalListKind(V2)) isQid(a) -> tt isQid(e) -> tt isQid(i) -> tt isQid(o) -> tt isQid(u) -> tt The replacement map contains the following entries:
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