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TRS Outer 67415 pair #381918040
details
property
value
status
complete
benchmark
ex0.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Zantema_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
80.8279840946 seconds
cpu usage
181.087535144
max memory
4.896436224E9
stage attributes
key
value
output-size
37976
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could not be shown: (0) OTRS (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] (2) QTRS (3)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, 11 ms] (13) QDP (14) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (15) QDP (16) UsableRulesReductionPairsProof [EQUIVALENT, 2 ms] (17) QDP (18) DependencyGraphProof [EQUIVALENT, 0 ms] (19) TRUE (20) QDP (21) UsableRulesProof [EQUIVALENT, 0 ms] (22) QDP (23) QReductionProof [EQUIVALENT, 0 ms] (24) QDP (25) TransformationProof [EQUIVALENT, 0 ms] (26) QDP (27) UsableRulesProof [EQUIVALENT, 0 ms] (28) QDP (29) QReductionProof [EQUIVALENT, 0 ms] (30) QDP (31) Trivial-Transformation [SOUND, 0 ms] (32) QTRS (33) DependencyPairsProof [EQUIVALENT, 0 ms] (34) QDP (35) DependencyGraphProof [EQUIVALENT, 0 ms] (36) QDP (37) NonTerminationLoopProof [COMPLETE, 0 ms] (38) NO (39) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] (40) QTRS (41) DependencyPairsProof [EQUIVALENT, 0 ms] (42) QDP (43) DependencyGraphProof [EQUIVALENT, 0 ms] (44) AND (45) QDP (46) UsableRulesProof [EQUIVALENT, 0 ms] (47) QDP (48) QDPSizeChangeProof [EQUIVALENT, 0 ms] (49) YES (50) QDP (51) TransformationProof [EQUIVALENT, 0 ms] (52) QDP (53) DependencyGraphProof [EQUIVALENT, 0 ms] (54) QDP (55) QDPOrderProof [EQUIVALENT, 20 ms] (56) QDP ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: f(x, c) -> g(f(x, x)) g(g(x)) -> c 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: top(go_up(x)) -> top(reduce(x)) reduce(f(x_1, x_2)) -> check_f(redex_f(x_1, x_2)) reduce(g(x_1)) -> check_g(redex_g(x_1))
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