Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC10_ex2c.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 2 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 by introducing disjunctions with sign conditions:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b >= c --> a >=b c && b >0 or ( a <= b c && b < 0)
| Benchmark |
|---|
| Size | 1431 |
| Compressed Size | 824 |
| 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 | 1403 |
| Compressed Size | 816 |
| Max. Term Depth | 8 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 1 |
and | 3 |
+ | 9 |
- | 3 |
* | 10 |
< | 4 |
<= | 7 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.03168
|
0.03225
|
| |
MathSAT |
MathSAT-5.6.8_default |
sat ✅
|
0.02244
|
0.02237
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.02607
|
0.02587
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02653
|
0.00661
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01480
|
0.01477
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
94.91880
|
94.89790
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01182
|
0.01144
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01826
|
0.02011
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28744
|
0.28747
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22409
|
0.12468
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40428
|
0.41053
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.21378
|
0.11436
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21565
|
0.11587
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27024
|
0.17063
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.25958
|
0.13966
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41875
|
0.39137
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28741
|
0.16153
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29374
|
0.16730
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.62162
|
0.50208
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.29962
|
0.17935
|
| |
|
z3siri-base |
sat ✅
|
0.26018
|
0.14335
|