Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_Mitrinovic_4_15.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: Automated proof of (4.15) in 
D.S. Mitrinovic, Elementary Inequalities, P. Noordhoff ltd - Groningen, (1964)
("https://www.isinj.com/mt-usamo/Elementary%20Inequalities%20-%20Mitrinovic,%20et.%20al.%20(1964,%20Noordhoff).pdf")
Benchmark
Size1177
Compressed Size644
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 unsat
Inferred Status unsat
Size 1158
Compressed Size641
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =4 +3 *10
<5 <=3

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.23113 0.13163
SMTInterpol SMTInterpol unknown ❌ 0.40470 0.41044
SMT-RAT SMT-RAT unsat ✅ 0.22347 0.12373
Yices2 Yices2 unsat ✅ 0.22267 0.12299
Z3alpha Z3-alpha unsat ✅ 0.27057 0.17105
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 unsat ✅ 0.26176 0.14619
SMTInterpol SMTInterpol unknown ❌ 0.45296 0.42895
SMT-RAT SMT-RAT unsat ✅ 0.29290 0.16644
Yices2 Yices2 unsat ✅ 0.30054 0.17147
Z3alpha Z3-alpha unsat ✅ 0.60431 0.49090
Z3 Z3-alpha-base unsat ✅ 0.31627 0.19021
z3siri-base unsat ✅ 0.30749 0.17607