Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC10_ex3e.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 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 | 2812 |
| Compressed Size | 1021 |
| 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 | 2783 |
| Compressed Size | 1025 |
| Max. Term Depth | 8 |
| 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
or | 5 |
and | 11 |
+ | 43 |
- | 47 |
* | 98 |
< | 12 |
<= | 15 |
| |
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 ✅
|
0.10712
|
0.10757
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.88000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.33576
|
0.33579
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03610
|
0.00658
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.29858
|
0.29852
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
1.53668
|
1.56898
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01976
|
0.01973
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03016
|
0.03204
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30592
|
0.30600
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.07818
|
0.07870
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.30383
|
0.30389
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02197
|
0.00656
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.06642
|
0.06639
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01528
|
0.01524
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03500
|
0.03524
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29449
|
0.29456
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.30376
|
0.30384
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.35439
|
0.25387
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45139
|
0.52622
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.30215
|
0.20215
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22116
|
0.12135
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27213
|
0.17277
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.32092
|
0.20294
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.48071
|
0.49790
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.33353
|
0.20021
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28344
|
0.16241
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.62519
|
0.56177
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32323
|
0.19998
|
| |
|
z3siri-base |
sat ✅
|
0.31643
|
0.18404
|