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TRS Outer 67415 pair #381917992
details
property
value
status
complete
benchmark
cariboo_nl_3.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
Zantema_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
93.8161220551 seconds
cpu usage
127.640252249
max memory
5.59079424E9
stage attributes
key
value
output-size
33351
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could not be shown: (0) OTRS (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 52 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 0 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) UsableRulesReductionPairsProof [EQUIVALENT, 6 ms] (15) QDP (16) MRRProof [EQUIVALENT, 0 ms] (17) QDP (18) MRRProof [EQUIVALENT, 0 ms] (19) QDP (20) DependencyGraphProof [EQUIVALENT, 0 ms] (21) QDP (22) QReductionProof [EQUIVALENT, 0 ms] (23) QDP (24) MRRProof [EQUIVALENT, 9 ms] (25) QDP (26) PisEmptyProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) UsableRulesProof [EQUIVALENT, 0 ms] (30) QDP (31) QReductionProof [EQUIVALENT, 0 ms] (32) QDP (33) TransformationProof [SOUND, 0 ms] (34) QDP (35) QReductionProof [EQUIVALENT, 0 ms] (36) QDP (37) UsableRulesProof [EQUIVALENT, 0 ms] (38) QDP (39) QReductionProof [EQUIVALENT, 0 ms] (40) QDP (41) QReductionProof [EQUIVALENT, 0 ms] (42) QDP (43) Trivial-Transformation [SOUND, 0 ms] (44) QTRS (45) QTRSRRRProof [EQUIVALENT, 58 ms] (46) QTRS (47) DependencyPairsProof [EQUIVALENT, 0 ms] (48) QDP (49) DependencyGraphProof [EQUIVALENT, 4 ms] (50) QDP (51) UsableRulesProof [EQUIVALENT, 0 ms] (52) QDP (53) NonTerminationLoopProof [COMPLETE, 0 ms] (54) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: f(g(a, a)) -> f(s(g(b, b))) f(f(x)) -> b g(x, x) -> f(g(x, x)) 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)) -> check_f(redex_f(x_1)) reduce(g(x_1, x_2)) -> check_g(redex_g(x_1, x_2)) redex_f(g(a, a)) -> result_f(f(s(g(b, b))))
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