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TRS Stand 20472 pair #381715267
details
property
value
status
complete
benchmark
Ex5_DLMMU04_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n096.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.9399971962 seconds
cpu usage
4.293725693
max memory
2.5808896E8
stage attributes
key
value
output-size
17092
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 113 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 10 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 0 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) RisEmptyProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(pairNs) -> mark(cons(0, incr(oddNs))) active(oddNs) -> mark(incr(pairNs)) active(incr(cons(X, XS))) -> mark(cons(s(X), incr(XS))) active(take(0, XS)) -> mark(nil) active(take(s(N), cons(X, XS))) -> mark(cons(X, take(N, XS))) active(zip(nil, XS)) -> mark(nil) active(zip(X, nil)) -> mark(nil) active(zip(cons(X, XS), cons(Y, YS))) -> mark(cons(pair(X, Y), zip(XS, YS))) active(tail(cons(X, XS))) -> mark(XS) active(repItems(nil)) -> mark(nil) active(repItems(cons(X, XS))) -> mark(cons(X, cons(X, repItems(XS)))) active(cons(X1, X2)) -> cons(active(X1), X2) active(incr(X)) -> incr(active(X)) active(s(X)) -> s(active(X)) active(take(X1, X2)) -> take(active(X1), X2) active(take(X1, X2)) -> take(X1, active(X2)) active(zip(X1, X2)) -> zip(active(X1), X2) active(zip(X1, X2)) -> zip(X1, active(X2)) active(pair(X1, X2)) -> pair(active(X1), X2) active(pair(X1, X2)) -> pair(X1, active(X2)) active(tail(X)) -> tail(active(X)) active(repItems(X)) -> repItems(active(X)) cons(mark(X1), X2) -> mark(cons(X1, X2)) incr(mark(X)) -> mark(incr(X)) s(mark(X)) -> mark(s(X)) take(mark(X1), X2) -> mark(take(X1, X2)) take(X1, mark(X2)) -> mark(take(X1, X2)) zip(mark(X1), X2) -> mark(zip(X1, X2)) zip(X1, mark(X2)) -> mark(zip(X1, X2)) pair(mark(X1), X2) -> mark(pair(X1, X2)) pair(X1, mark(X2)) -> mark(pair(X1, X2)) tail(mark(X)) -> mark(tail(X)) repItems(mark(X)) -> mark(repItems(X)) proper(pairNs) -> ok(pairNs) proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) proper(0) -> ok(0) proper(incr(X)) -> incr(proper(X)) proper(oddNs) -> ok(oddNs) proper(s(X)) -> s(proper(X)) proper(take(X1, X2)) -> take(proper(X1), proper(X2)) proper(nil) -> ok(nil) proper(zip(X1, X2)) -> zip(proper(X1), proper(X2)) proper(pair(X1, X2)) -> pair(proper(X1), proper(X2)) proper(tail(X)) -> tail(proper(X)) proper(repItems(X)) -> repItems(proper(X)) cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) incr(ok(X)) -> ok(incr(X)) s(ok(X)) -> ok(s(X)) take(ok(X1), ok(X2)) -> ok(take(X1, X2)) zip(ok(X1), ok(X2)) -> ok(zip(X1, X2)) pair(ok(X1), ok(X2)) -> ok(pair(X1, X2)) tail(ok(X)) -> ok(tail(X)) repItems(ok(X)) -> ok(repItems(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Q is empty. ----------------------------------------
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