Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_2.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: CAD calls of SUMCracker-ProveInequality to prove (2) (Askey-Gasper) 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
Size1120
Compressed Size672
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 On2022-01-06 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 1099
Compressed Size671
Max. Term Depth4
Asserts 1
Declared Functions0
Declared Constants5
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 +2 -2 *1
<2 <=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02421 0.02312
MathSAT MathSAT-5.6.8_default unsat ✅ 0.02035 0.02027
NRA-LS NRA-LS-FINAL_default unsat ✅ 0.01732 0.01740
Par4 Par4-wrapped-sq_default unsat ✅ 0.02820 0.00765
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.01174 0.00668
veriT veriT+raSAT+Redlog_default unsat ✅ 0.01052 0.00750
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.01225 0.01108
Z3 z3-4.8.17_default unsat ✅ 0.01709 0.01896
Z3++ z3++0715_default unsat ✅ 0.27967 0.27971