Benchmark

non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_Mitrinovic_3_29.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: Automated proof of (3.29) 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

Benchmark
Size	1307
Compressed Size	749
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	2022-02-01 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	1293
Compressed Size	744
Max. Term Depth	6
Asserts	1
Declared Functions	0
Declared Constants	4
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

not	3	and	1	=	5	+	7
-	1	*	16	<	3	<=	3

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2023		cvc5	cvc5-default-2023-05-16-ea045f305_sq	unsat ✅	0.02991	0.03040
		NRA-LS	cvc5-NRA-LS-sq_default	unsat ✅	0.06063	0.05042
		Par4	Par4-wrapped-sq_default	unsat ✅	0.01929	0.00621
		SMT-RAT	SMT-RAT-MCSAT_default	unsat ✅	0.02716	0.02686
		Yices2	Yices 2 for SMTCOMP 2023_default	unsat ✅	0.01265	0.01263
		Z3alpha	z3alpha_default	unsat ✅	0.02304	0.02328
		Z3++	z3++0715_default	unsat ✅	0.28480	0.28488
			Z3++_sq_0526_default	unsat ✅	0.28941	0.28947