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TRS Inner 89993 pair #381733723
details
property
value
status
complete
benchmark
PALINDROME_nokinds_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.77401185036 seconds
cpu usage
4.222622244
max memory
2.6218496E8
stage attributes
key
value
output-size
7576
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 141 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4) QTRS (5) RisEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) a____(X, nil) -> mark(X) a____(nil, X) -> mark(X) a__and(tt, X) -> mark(X) a__isList(V) -> a__isNeList(V) a__isList(nil) -> tt a__isList(__(V1, V2)) -> a__and(a__isList(V1), isList(V2)) a__isNeList(V) -> a__isQid(V) a__isNeList(__(V1, V2)) -> a__and(a__isList(V1), isNeList(V2)) a__isNeList(__(V1, V2)) -> a__and(a__isNeList(V1), isList(V2)) a__isNePal(V) -> a__isQid(V) a__isNePal(__(I, __(P, I))) -> a__and(a__isQid(I), isPal(P)) a__isPal(V) -> a__isNePal(V) a__isPal(nil) -> tt a__isQid(a) -> tt a__isQid(e) -> tt a__isQid(i) -> tt a__isQid(o) -> tt a__isQid(u) -> tt mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(isList(X)) -> a__isList(X) mark(isNeList(X)) -> a__isNeList(X) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(isPal(X)) -> a__isPal(X) mark(nil) -> nil mark(tt) -> tt mark(a) -> a mark(e) -> e mark(i) -> i mark(o) -> o mark(u) -> u a____(X1, X2) -> __(X1, X2) a__and(X1, X2) -> and(X1, X2) a__isList(X) -> isList(X) a__isNeList(X) -> isNeList(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) a__isPal(X) -> isPal(X) The set Q consists of the following terms: a__isList(x0) a__isNeList(x0) a__isNePal(x0) a__isPal(x0) mark(__(x0, x1)) mark(and(x0, x1)) mark(isList(x0)) mark(isNeList(x0)) mark(isQid(x0)) mark(isNePal(x0)) mark(isPal(x0)) mark(nil) mark(tt) mark(a) mark(e) mark(i) mark(o) mark(u) a____(x0, x1) a__and(x0, x1) a__isQid(x0) ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]:
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