Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_JSC_SUMCracker_15.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of In[15] 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 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 | 1543 |
| Compressed Size | 813 |
| 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 | unsat |
| Inferred Status | unsat |
| Size | 1530 |
| Compressed Size | 806 |
| Max. Term Depth | 6 |
| 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
not | 3 |
and | 1 |
= | 3 |
+ | 13 |
- | 12 |
* | 27 |
< | 1 |
<= | 5 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.33 (6/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
17.92900
|
17.92820
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.86000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1171.58000
|
1170.12000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02240
|
0.00653
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
125.33900
|
125.32400
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.02000
|
1199.86000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01679
|
0.01675
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02346
|
0.02538
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29067
|
0.29071
|
|
SMT-COMP 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
901.10100
|
900.28500
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1170.03000
|
1170.05000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02270
|
0.00745
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.20135
|
0.20131
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01402
|
0.01400
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02628
|
0.02653
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28388
|
0.28397
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29209
|
0.29214
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unsat ✅
|
900.29582
|
900.17523
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42187
|
0.44460
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.73971
|
1201.13473
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21948
|
0.12002
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26786
|
0.16841
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
900.28264
|
900.00983
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45595
|
0.45117
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.30057
|
0.17872
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.26420
|
0.14186
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.61879
|
0.51137
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.28118
|
0.15973
|
| |
|
z3siri-base |
unsat ✅
|
0.30868
|
0.17899
|