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TRS Standard pair #516961725
details
property
value
status
complete
benchmark
Ex1_Luc04b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
3.94124293327 seconds
cpu usage
12.225853397
max memory
7.91908352E8
stage attributes
key
value
output-size
41328
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 147 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 35 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 10 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) UsableRulesProof [EQUIVALENT, 0 ms] (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) UsableRulesProof [EQUIVALENT, 0 ms] (31) QDP (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] (33) YES (34) QDP (35) MRRProof [EQUIVALENT, 44 ms] (36) QDP (37) MRRProof [EQUIVALENT, 58 ms] (38) QDP (39) QDPOrderProof [EQUIVALENT, 117 ms] (40) QDP (41) DependencyGraphProof [EQUIVALENT, 0 ms] (42) QDP (43) QDPOrderProof [EQUIVALENT, 118 ms] (44) QDP (45) QDPOrderProof [EQUIVALENT, 22 ms] (46) QDP (47) QDPOrderProof [EQUIVALENT, 0 ms] (48) QDP (49) UsableRulesProof [EQUIVALENT, 0 ms] (50) QDP (51) QDPSizeChangeProof [EQUIVALENT, 0 ms] (52) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(nats) -> mark(cons(0, incr(nats))) active(pairs) -> mark(cons(0, incr(odds))) active(odds) -> mark(incr(pairs)) active(incr(cons(X, XS))) -> mark(cons(s(X), incr(XS))) active(head(cons(X, XS))) -> mark(X) active(tail(cons(X, XS))) -> mark(XS) mark(nats) -> active(nats) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(0) -> active(0) mark(incr(X)) -> active(incr(mark(X))) mark(pairs) -> active(pairs) mark(odds) -> active(odds) mark(s(X)) -> active(s(mark(X))) mark(head(X)) -> active(head(mark(X))) mark(tail(X)) -> active(tail(mark(X))) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) incr(mark(X)) -> incr(X) incr(active(X)) -> incr(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) head(mark(X)) -> head(X) head(active(X)) -> head(X)
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