Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_JSC_SUMCracker_19a.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: CAD calls of In[19] 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)
Benchmark
Size970
Compressed Size612
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2022-08-10
Generated ByAli K. Uncu, Matthew England, and James H. Davenport
Generated On2022-01-05 00:00:00
GeneratorSUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html")
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 952
Compressed Size611
Max. Term Depth4
Asserts 1
Declared Functions0
Declared Constants3
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 +4 -1 *3
<1 <=4

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 ✅ 0.03152 0.03198
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.04000 1199.96000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05990 0.05884
Par4 Par4-wrapped-sq_default sat ✅ 0.01625 0.00638
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01219 0.01216
veriT veriT+raSAT+Redlog_default sat ✅ 0.15685 0.15772
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01256 0.01254
Z3 z3-4.8.17_default sat ✅ 0.01860 0.02048
Z3++ z3++0715_default sat ✅ 0.28182 0.28190
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02524 0.02567
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.03180 0.03186
Par4 Par4-wrapped-sq_default sat ✅ 0.01716 0.00643
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01083 0.01080
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01220 0.01106
Z3alpha z3alpha_default sat ✅ 0.02273 0.02294
Z3++ z3++0715_default sat ✅ 0.28701 0.28708
Z3++_sq_0526_default sat ✅ 0.28927 0.28919
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.29522 0.16969
SMTInterpol SMTInterpol unknown ❌ 0.42810 0.40030
SMT-RAT SMT-RAT sat ✅ 0.24735 0.12910
Yices2 Yices2 sat ✅ 0.28227 0.16042
Z3alpha Z3-alpha sat ✅ 0.57428 0.45703
Z3 Z3-alpha-base sat ✅ 0.31566 0.18591
z3siri-base sat ✅ 0.26288 0.14302