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TRS Outer 67415 pair #381918192
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nosorts_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
58.0673921108 seconds
cpu usage
215.559441415
max memory
9.215860736E9
stage attributes
key
value
output-size
109775
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be proven: (0) OTRS (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 149 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 65 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 39 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 66 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 38 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 44 ms] (14) QTRS (15) QTRSRRRProof [EQUIVALENT, 49 ms] (16) QTRS (17) QTRSRRRProof [EQUIVALENT, 34 ms] (18) QTRS (19) DependencyPairsProof [EQUIVALENT, 0 ms] (20) QDP (21) DependencyGraphProof [EQUIVALENT, 0 ms] (22) AND (23) QDP (24) UsableRulesProof [EQUIVALENT, 0 ms] (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) UsableRulesProof [EQUIVALENT, 1 ms] (30) QDP (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] (32) YES (33) QDP (34) UsableRulesProof [EQUIVALENT, 0 ms] (35) QDP (36) TransformationProof [EQUIVALENT, 0 ms] (37) QDP (38) DependencyGraphProof [EQUIVALENT, 0 ms] (39) QDP (40) QDPOrderProof [EQUIVALENT, 37 ms] (41) QDP (42) QDPOrderProof [EQUIVALENT, 21 ms] (43) QDP (44) DependencyGraphProof [EQUIVALENT, 0 ms] (45) QDP (46) QDPOrderProof [EQUIVALENT, 19 ms] (47) QDP (48) QDPOrderProof [EQUIVALENT, 185 ms] (49) QDP (50) QDPOrderProof [EQUIVALENT, 176 ms] (51) QDP (52) QDPOrderProof [EQUIVALENT, 175 ms] (53) QDP (54) QDPOrderProof [EQUIVALENT, 202 ms] (55) QDP (56) QDPOrderProof [EQUIVALENT, 4950 ms] (57) QDP (58) QDPOrderProof [EQUIVALENT, 2689 ms] (59) QDP (60) QDPOrderProof [EQUIVALENT, 1170 ms] (61) QDP (62) PisEmptyProof [EQUIVALENT, 0 ms] (63) YES ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt, L) -> a__U12(tt, L) a__U12(tt, L) -> s(a__length(mark(L))) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U11(tt, L) mark(zeros) -> a__zeros mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U12(X1, X2)) -> a__U12(mark(X1), X2) mark(length(X)) -> a__length(mark(X)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0) -> 0 mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil
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