Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_JSC_SUMCracker_14d.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of In[14] on page 12 in
M. Kauers, SumCracker: A Package for Manipulating Symbolic Sums and Related Objects,
Journal of Symbolic Computation 41(9), 2006, pp. 1039-1057.
(https://www.sciencedirect.com/science/article/pii/S0747717106000502)
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 | 4758 |
| Compressed Size | 1256 |
| 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 | 2022-02-03 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 | 4738 |
| Compressed Size | 1243 |
| Max. Term Depth | 10 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 5 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 13 |
and | 27 |
+ | 108 |
- | 39 |
* | 276 |
< | 36 |
<= | 8 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.56 (4/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unknown ❌
|
1200.02000
|
1200.00000
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.85000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1170.80000
|
1170.01000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02785
|
0.00632
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unknown ❌
|
817.81500
|
817.64000
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.11000
|
1199.80000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.56449
|
0.56344
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03202
|
0.03401
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29401
|
0.29404
|
|
SMT-COMP 2023
|
0.29 (5/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
903.17400
|
900.56300
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1171.75000
|
1170.03000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01925
|
0.00627
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unknown ❌
|
1200.05000
|
1200.04000
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01301
|
0.01295
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.16284
|
0.16311
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.42593
|
0.42599
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.43365
|
0.43368
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.74386
|
1201.10120
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.51713
|
0.77923
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
189.10337
|
188.99724
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.23393
|
0.13344
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
16.12767
|
16.02048
|