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TRS_Outermost 2019-04-01 06.45 pair #433314718
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
n046.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
193.723 seconds
cpu usage
392.789
user time
384.495
system time
8.29409
max virtual memory
3.710284E7
max residence set size
6787360.0
stage attributes
key
value
starexec-result
MAYBE
output
392.57/193.62 MAYBE 392.57/193.64 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 392.57/193.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 392.57/193.64 392.57/193.64 392.57/193.64 Outermost Termination of the given OTRS could not be shown: 392.57/193.64 392.57/193.64 (0) OTRS 392.57/193.64 (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] 392.57/193.64 (2) QTRS 392.57/193.64 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 392.57/193.64 (4) QDP 392.57/193.64 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 392.57/193.64 (6) AND 392.57/193.64 (7) QDP 392.57/193.64 (8) UsableRulesProof [EQUIVALENT, 0 ms] 392.57/193.64 (9) QDP 392.57/193.64 (10) QReductionProof [EQUIVALENT, 0 ms] 392.57/193.64 (11) QDP 392.57/193.64 (12) MRRProof [EQUIVALENT, 24 ms] 392.57/193.64 (13) QDP 392.57/193.64 (14) MRRProof [EQUIVALENT, 14 ms] 392.57/193.64 (15) QDP 392.57/193.64 (16) MRRProof [EQUIVALENT, 23 ms] 392.57/193.64 (17) QDP 392.57/193.64 (18) UsableRulesReductionPairsProof [EQUIVALENT, 7 ms] 392.57/193.64 (19) QDP 392.57/193.64 (20) DependencyGraphProof [EQUIVALENT, 0 ms] 392.57/193.64 (21) TRUE 392.57/193.64 (22) QDP 392.57/193.64 (23) UsableRulesProof [EQUIVALENT, 0 ms] 392.57/193.64 (24) QDP 392.57/193.65 (25) QReductionProof [EQUIVALENT, 0 ms] 392.57/193.65 (26) QDP 392.57/193.65 (27) TransformationProof [EQUIVALENT, 0 ms] 392.57/193.65 (28) QDP 392.57/193.65 (29) UsableRulesProof [EQUIVALENT, 0 ms] 392.57/193.65 (30) QDP 392.57/193.65 (31) QReductionProof [EQUIVALENT, 0 ms] 392.57/193.65 (32) QDP 392.57/193.65 (33) Trivial-Transformation [SOUND, 0 ms] 392.57/193.65 (34) QTRS 392.57/193.65 (35) DependencyPairsProof [EQUIVALENT, 0 ms] 392.57/193.65 (36) QDP 392.57/193.65 (37) DependencyGraphProof [EQUIVALENT, 0 ms] 392.57/193.65 (38) QDP 392.57/193.65 (39) TransformationProof [EQUIVALENT, 2 ms] 392.57/193.65 (40) QDP 392.57/193.65 (41) NonTerminationLoopProof [COMPLETE, 0 ms] 392.57/193.65 (42) NO 392.57/193.65 (43) Raffelsieper-Zantema-Transformation [SOUND, 127.6 s] 392.57/193.65 (44) QTRS 392.57/193.65 (45) DependencyPairsProof [EQUIVALENT, 1546 ms] 392.57/193.65 (46) QDP 392.57/193.65 (47) DependencyGraphProof [EQUIVALENT, 7 ms] 392.57/193.65 (48) AND 392.57/193.65 (49) QDP 392.57/193.65 (50) UsableRulesProof [EQUIVALENT, 535 ms] 392.57/193.65 (51) QDP 392.57/193.65 (52) QDPOrderProof [EQUIVALENT, 373 ms] 392.57/193.65 (53) QDP 392.57/193.65 (54) DependencyGraphProof [EQUIVALENT, 0 ms] 392.57/193.65 (55) QDP 392.57/193.65 (56) QDPSizeChangeProof [EQUIVALENT, 0 ms] 392.57/193.65 (57) YES 392.57/193.65 (58) QDP 392.57/193.65 392.57/193.65 392.57/193.65 ---------------------------------------- 392.57/193.65 392.57/193.65 (0) 392.57/193.65 Obligation: 392.57/193.65 Term rewrite system R: 392.57/193.65 The TRS R consists of the following rules: 392.57/193.65 392.57/193.65 app(app(f, 0), n) -> app(app(hd, app(app(map, f), app(app(cons, 0), nil))), n) 392.57/193.65 app(app(map, f), nil) -> nil 392.57/193.65 app(app(map, f), app(app(cons, x), xs)) -> app(app(cons, app(f, x)), app(app(map, f), xs)) 392.57/193.65 392.57/193.65 392.57/193.65 392.57/193.65 Outermost Strategy. 392.57/193.65 392.57/193.65 ---------------------------------------- 392.57/193.65 392.57/193.65 (1) Thiemann-SpecialC-Transformation (EQUIVALENT) 392.57/193.65 We applied the Thiemann-SpecialC transformation to transform the outermost TRS to an innermost TRS. 392.57/193.65 ---------------------------------------- 392.57/193.65 392.57/193.65 (2) 392.57/193.65 Obligation: 392.57/193.65 Q restricted rewrite system: 392.57/193.65 The TRS R consists of the following rules: 392.57/193.65 392.57/193.65 top(go_up(x)) -> top(reduce(x)) 392.57/193.65 reduce(app(x_1, x_2)) -> check_app(redex_app(x_1, x_2)) 392.57/193.65 redex_app(app(f, 0), n) -> result_app(app(app(hd, app(app(map, f), app(app(cons, 0), nil))), n)) 392.57/193.65 redex_app(app(map, f), nil) -> result_app(nil) 392.57/193.65 redex_app(app(map, f), app(app(cons, x), xs)) -> result_app(app(app(cons, app(f, x)), app(app(map, f), xs))) 392.57/193.65 check_app(result_app(x)) -> go_up(x)
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