Benchmark

non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_Mitrinovic_4_29_1.smt2

Translated to SMT-Lib by Maple SMTLIB package. 
* Simplified the original ProveInequality call for SMTLIB package

Application: Automated proof of (4.29) 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")

All denominators in the original CAD call got cleared in a simple way:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c/d --> a d^2 >=b^2 c && b<>0 && d<>0

Extra comment: The original Mitrinovic 4.29 call has an OR statement in the assert call. Here we split this into two files.

Benchmark
Size	1579
Compressed Size	827
License	Creative Commons Attribution 4.0 International (CC-BY-4.0)
Category	industrial
First Occurrence	2022-08-10
Generated By	Ali K. Uncu, Matthew England, and James H. Davenport
Generated On	2022-01-05 00:00:00
Generator	SUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html")
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	unsat
Inferred Status	unsat
Size	1540
Compressed Size	842
Max. Term Depth	7
Asserts	1
Declared Functions	0
Declared Constants	2
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

not	4	and	1	=	4	+	21
-	1	*	20	<	2	<=	3

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2025	0.17 (5/6)	cvc5	cvc5	unsat ✅	0.30511	0.17925
		SMTInterpol	SMTInterpol	unknown ❌	0.46938	0.44799
		SMT-RAT	SMT-RAT	unsat ✅	0.25453	0.13406
		Yices2	Yices2	unsat ✅	0.29496	0.16493
		Z3alpha	Z3-alpha	unsat ✅	0.60795	0.48786
		Z3	Z3-alpha-base	unsat ✅	0.31480	0.18721
			z3siri-base	unsat ✅	0.27531	0.15152