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TRS Innermost pair #516979315
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
n118.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
18.8224380016 seconds
cpu usage
13.559828051
max memory
8.36624384E8
stage attributes
key
value
output-size
61161
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 157 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 34 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 42 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QReductionProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) UsableRulesProof [EQUIVALENT, 0 ms] (18) QDP (19) QReductionProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) UsableRulesProof [EQUIVALENT, 0 ms] (25) QDP (26) QReductionProof [EQUIVALENT, 0 ms] (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES (30) QDP (31) UsableRulesProof [EQUIVALENT, 0 ms] (32) QDP (33) QReductionProof [EQUIVALENT, 0 ms] (34) QDP (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] (36) YES (37) QDP (38) UsableRulesProof [EQUIVALENT, 0 ms] (39) QDP (40) QReductionProof [EQUIVALENT, 0 ms] (41) QDP (42) QDPSizeChangeProof [EQUIVALENT, 0 ms] (43) YES (44) QDP (45) MRRProof [EQUIVALENT, 44 ms] (46) QDP (47) MRRProof [EQUIVALENT, 38 ms] (48) QDP (49) QDPOrderProof [EQUIVALENT, 128 ms] (50) QDP (51) DependencyGraphProof [EQUIVALENT, 0 ms] (52) QDP (53) QDPOrderProof [EQUIVALENT, 138 ms] (54) QDP (55) DependencyGraphProof [EQUIVALENT, 0 ms] (56) AND (57) QDP (58) QDPOrderProof [EQUIVALENT, 0 ms] (59) QDP (60) PisEmptyProof [EQUIVALENT, 0 ms] (61) YES (62) QDP (63) UsableRulesProof [EQUIVALENT, 0 ms] (64) QDP (65) QReductionProof [EQUIVALENT, 0 ms] (66) QDP (67) QDPSizeChangeProof [EQUIVALENT, 0 ms] (68) 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)
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