Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC10_ex3d.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 3 in
M. Kauers and V. Pillwein, When can we detect that a P-finite sequence is positive?
ISSAC '10: Proceedings of the 2010 International Symposium on Symbolic and Algebraic ComputationJuly 2010 Pages 195–201
(https://doi.org/10.1145/1837934.1837974)
All denominators in the original CAD call got cleared in a simple way:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c/d --> a d^2 >=b^2 c && b<>0 && d<>0
| Benchmark |
|---|
| Size | 1885 |
| Compressed Size | 894 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2022-08-10 |
| Generated By | Ali K. Uncu, Matthew England, and James H. Davenport |
| Generated On | 2022-01-06 00:00:00 |
| Generator | SUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html") |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 1855 |
| Compressed Size | 902 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 2 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 4 |
and | 1 |
= | 4 |
+ | 27 |
- | 26 |
* | 43 |
< | 1 |
<= | 9 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.10455
|
0.10514
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.08000
|
1199.86000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.08059
|
0.08067
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02430
|
0.00631
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04429
|
0.04381
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
1.90485
|
1.90480
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01547
|
0.01542
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02468
|
0.02657
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29030
|
0.29037
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.03574
|
0.03623
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.08429
|
0.08433
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02064
|
0.00650
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02636
|
0.02635
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01266
|
0.01261
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02859
|
0.02878
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28668
|
0.28674
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29720
|
0.29727
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.27589
|
0.15772
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42523
|
0.41029
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29255
|
0.16853
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25470
|
0.13831
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60873
|
0.51453
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28287
|
0.16372
|
| |
|
z3siri-base |
sat ✅
|
0.27705
|
0.16055
|