Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC10_ex3a.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 | 1188 |
| Compressed Size | 743 |
| 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 | 1159 |
| Compressed Size | 739 |
| Max. Term Depth | 5 |
| 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 | 1 |
and | 1 |
= | 1 |
+ | 3 |
- | 3 |
* | 4 |
< | 1 |
<= | 3 |
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 ✅
|
0.02503
|
0.02550
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.07000
|
1199.88000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.02041
|
0.02046
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01830
|
0.00661
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01297
|
0.00840
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01533
|
0.01535
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01344
|
0.01209
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01837
|
0.02021
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28197
|
0.28203
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23115
|
0.13163
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41113
|
0.40683
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.21389
|
0.11402
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21777
|
0.11805
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26611
|
0.16663
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30147
|
0.16892
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46592
|
0.41472
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26474
|
0.14605
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27455
|
0.14381
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59555
|
0.47604
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27553
|
0.15646
|
| |
|
z3siri-base |
sat ✅
|
0.30100
|
0.17508
|