Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_5_0.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: 
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(5,0) in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
Benchmark
Size1222
Compressed Size678
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 On2022-01-08 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 unsat
Inferred Status unsat
Size 1155
Compressed Size676
Max. Term Depth4
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 +7 *3 <5
<=1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02661 0.02707
MathSAT MathSAT-5.6.8_default unsat ✅ 0.02625 0.02617
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.02052 0.02057
Par4 Par4-wrapped-sq_default unsat ✅ 0.02074 0.00717
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01491 0.01489
veriT veriT+raSAT+Redlog_default unsat ✅ 0.20666 0.20787
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01231 0.01229
Z3 z3-4.8.17_default unsat ✅ 0.01837 0.02023
Z3++ z3++0715_default unsat ✅ 0.28005 0.28014