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TRS Standard pair #516961740
details
property
value
status
complete
benchmark
PALINDROME_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
3.47278594971 seconds
cpu usage
10.255578241
max memory
6.89676288E8
stage attributes
key
value
output-size
83235
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 199 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 34 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 15 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 6 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 17 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 14 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 10 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 12 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 0 ms] (22) CSR (23) CSRRRRProof [EQUIVALENT, 0 ms] (24) CSR (25) CSRRRRProof [EQUIVALENT, 0 ms] (26) CSR (27) CSRRRRProof [EQUIVALENT, 0 ms] (28) CSR (29) CSRRRRProof [EQUIVALENT, 0 ms] (30) CSR (31) CSRRRRProof [EQUIVALENT, 0 ms] (32) CSR (33) RisEmptyProof [EQUIVALENT, 0 ms] (34) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(__(__(X, Y), Z)) -> mark(__(X, __(Y, Z))) active(__(X, nil)) -> mark(X) active(__(nil, X)) -> mark(X) active(U11(tt, V)) -> mark(U12(isPalListKind(V), V)) active(U12(tt, V)) -> mark(U13(isNeList(V))) active(U13(tt)) -> mark(tt) active(U21(tt, V1, V2)) -> mark(U22(isPalListKind(V1), V1, V2)) active(U22(tt, V1, V2)) -> mark(U23(isPalListKind(V2), V1, V2)) active(U23(tt, V1, V2)) -> mark(U24(isPalListKind(V2), V1, V2)) active(U24(tt, V1, V2)) -> mark(U25(isList(V1), V2)) active(U25(tt, V2)) -> mark(U26(isList(V2))) active(U26(tt)) -> mark(tt) active(U31(tt, V)) -> mark(U32(isPalListKind(V), V)) active(U32(tt, V)) -> mark(U33(isQid(V))) active(U33(tt)) -> mark(tt) active(U41(tt, V1, V2)) -> mark(U42(isPalListKind(V1), V1, V2)) active(U42(tt, V1, V2)) -> mark(U43(isPalListKind(V2), V1, V2)) active(U43(tt, V1, V2)) -> mark(U44(isPalListKind(V2), V1, V2)) active(U44(tt, V1, V2)) -> mark(U45(isList(V1), V2)) active(U45(tt, V2)) -> mark(U46(isNeList(V2))) active(U46(tt)) -> mark(tt) active(U51(tt, V1, V2)) -> mark(U52(isPalListKind(V1), V1, V2)) active(U52(tt, V1, V2)) -> mark(U53(isPalListKind(V2), V1, V2)) active(U53(tt, V1, V2)) -> mark(U54(isPalListKind(V2), V1, V2)) active(U54(tt, V1, V2)) -> mark(U55(isNeList(V1), V2)) active(U55(tt, V2)) -> mark(U56(isList(V2))) active(U56(tt)) -> mark(tt) active(U61(tt, V)) -> mark(U62(isPalListKind(V), V)) active(U62(tt, V)) -> mark(U63(isQid(V))) active(U63(tt)) -> mark(tt) active(U71(tt, I, P)) -> mark(U72(isPalListKind(I), P)) active(U72(tt, P)) -> mark(U73(isPal(P), P)) active(U73(tt, P)) -> mark(U74(isPalListKind(P))) active(U74(tt)) -> mark(tt) active(U81(tt, V)) -> mark(U82(isPalListKind(V), V)) active(U82(tt, V)) -> mark(U83(isNePal(V))) active(U83(tt)) -> mark(tt) active(U91(tt, V2)) -> mark(U92(isPalListKind(V2))) active(U92(tt)) -> mark(tt) active(isList(V)) -> mark(U11(isPalListKind(V), V)) active(isList(nil)) -> mark(tt) active(isList(__(V1, V2))) -> mark(U21(isPalListKind(V1), V1, V2)) active(isNeList(V)) -> mark(U31(isPalListKind(V), V))
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