Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_AmerMathMonthly_vol125no10_p922b.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: CAD calls of SUMCracker-ProveInequality to prove 
"A Generalization of a Monthly Problem" in MAA Amer Math Monthly vol 125.
(https://www.tandfonline.com/doi/full/10.1080/00029890.2018.1460976)

This call proves that the product of n terms in the Theorem is less than or equal to 1.

Benchmark
Size	1078
Compressed Size	636
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	2022-01-06 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	1044
Compressed Size	633
Max. Term Depth	4
Asserts	1
Declared Functions	0
Declared Constants	5
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

and	1	=	2	+	3	-	1
*	1	<	3	<=	3

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2022		cvc5	cvc5-default-2022-07-02-b15e116-wrapped_sq	unsat ✅	0.02282	0.02336
		MathSAT	MathSAT-5.6.8_default	unsat ✅	0.01600	0.01597
		NRA-LS	NRA-LS-FINAL_default	unsat ✅	0.01686	0.01691
		Par4	Par4-wrapped-sq_default	unsat ✅	0.01816	0.00646
		SMT-RAT	SMT-RAT-MCSAT_default	unsat ✅	0.01057	0.00666
		veriT	veriT+raSAT+Redlog_default	unsat ✅	0.01427	0.00787
		Yices2	Yices 2.6.2 for SMTCOMP 2021_default	unsat ✅	0.01465	0.01191
		Z3	z3-4.8.17_default	unsat ✅	0.01768	0.01953
		Z3++	z3++0715_default	unsat ✅	0.28579	0.28582