Tableaux 2000 benchmarks, logic K

January 2000


These benchmarks are described at the homepage. They consist of modal formulas obtained by translating randomly generated quantified boolean formulas. MORE!!!

Test  *SAT *SAT+USB *SAT+USH
Cpu  Cons  Cpu  Cons  Cpu  Cons 
C10-V4-D4 $>$1200 736535 102.05 26663 133.82 41898
C20-V4-D4 $>$1200 654802 321.15 75967 493.66 131996
C30-V4-D4 157.71 98681 18.08 3953 29.36 8253
C10-V4-D6 $>$1200 533239 1103.23 181517 $>$1200 202489
C20-V4-D6 $>$1200 507785 $>$1200 152006 $>$1200 32282
C10-V8-D4 $>$1200 379344 $>$1200 109023 $>$1200 125439
C20-V8-D4 $>$1200 396821 $>$1200 66377 $>$1200 78798
C30-V8-D4 $>$1200 339884 $>$1200 55121 $>$1200 64837

As can be observed from the table, *SAT without caching is not able to solve most of the problem instances within the time limit. Caching produces dramatic speedups (up to two orders of magnitude) and, particularly, caching with a bit matrix yields the best results reducing consistency checks as well as Cpu time.