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TRS Outer 67415 pair #381918162
details
property
value
status
complete
benchmark
TypeEx3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
199.146368027 seconds
cpu usage
403.274881884
max memory
7.721795584E9
stage attributes
key
value
output-size
287900
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could not be shown: (0) OTRS (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) MRRProof [EQUIVALENT, 34 ms] (13) QDP (14) MRRProof [EQUIVALENT, 20 ms] (15) QDP (16) MRRProof [EQUIVALENT, 12 ms] (17) QDP (18) UsableRulesReductionPairsProof [EQUIVALENT, 6 ms] (19) QDP (20) DependencyGraphProof [EQUIVALENT, 0 ms] (21) TRUE (22) QDP (23) UsableRulesProof [EQUIVALENT, 0 ms] (24) QDP (25) QReductionProof [EQUIVALENT, 0 ms] (26) QDP (27) TransformationProof [EQUIVALENT, 0 ms] (28) QDP (29) UsableRulesProof [EQUIVALENT, 0 ms] (30) QDP (31) QReductionProof [EQUIVALENT, 0 ms] (32) QDP (33) Trivial-Transformation [SOUND, 0 ms] (34) QTRS (35) DependencyPairsProof [EQUIVALENT, 0 ms] (36) QDP (37) DependencyGraphProof [EQUIVALENT, 0 ms] (38) QDP (39) TransformationProof [EQUIVALENT, 0 ms] (40) QDP (41) NonTerminationLoopProof [COMPLETE, 0 ms] (42) NO (43) Raffelsieper-Zantema-Transformation [SOUND, 131.4 s] (44) QTRS (45) DependencyPairsProof [EQUIVALENT, 1616 ms] (46) QDP (47) DependencyGraphProof [EQUIVALENT, 10 ms] (48) AND (49) QDP (50) UsableRulesProof [EQUIVALENT, 535 ms] (51) QDP (52) QDPOrderProof [EQUIVALENT, 281 ms] (53) QDP (54) DependencyGraphProof [EQUIVALENT, 0 ms] (55) QDP (56) QDPSizeChangeProof [EQUIVALENT, 0 ms] (57) YES (58) QDP ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: app(app(f, 0), n) -> app(app(hd, app(app(map, f), app(app(cons, 0), nil))), n) app(app(map, f), nil) -> nil app(app(map, f), app(app(cons, x), xs)) -> app(app(cons, app(f, x)), app(app(map, f), xs)) Outermost Strategy. ---------------------------------------- (1) Thiemann-SpecialC-Transformation (EQUIVALENT) We applied the Thiemann-SpecialC transformation to transform the outermost TRS to an innermost TRS. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules:
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