Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_Mitrinovic_7_36.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: Automated proof of (7.36) 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
Size1110
Compressed Size625
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 1080
Compressed Size626
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants3
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 +5 -5 *20
<1 <=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.04521 0.04571
NRA-LS cvc5-NRA-LS-sq_default unsat ✅ 0.05404 0.05389
Par4 Par4-wrapped-sq_default unsat ✅ 0.01820 0.00640
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 3.11431 3.11427
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.01588 0.01581
Z3alpha z3alpha_default unsat ✅ 0.02483 0.02492
Z3++ z3++0715_default unsat ✅ 0.28292 0.28297
Z3++_sq_0526_default unsat ✅ 0.29967 0.29970
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24574 0.14643
SMTInterpol SMTInterpol unknown ❌ 0.40650 0.40864
SMT-RAT SMT-RAT unsat ✅ 2.04780 1.94715
Yices2 Yices2 unsat ✅ 0.21938 0.11968
Z3alpha Z3-alpha unsat ✅ 0.26971 0.17001