Benchmark

non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_AmerMathMonthly10347RHS.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: CAD calls of SUMCracker-ProveInequality to prove Amer Math Monthly Problem 10347 in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)

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	1737
Compressed Size	900
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	1708
Compressed Size	907
Max. Term Depth	8
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

not	4	and	1	=	7	+	17
-	2	*	32	<	7	<=	5

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2025	0.17 (5/6)	cvc5	cvc5	unsat ✅	0.33246	0.19338
		SMTInterpol	SMTInterpol	unknown ❌	0.45644	0.44433
		SMT-RAT	SMT-RAT	unsat ✅	0.32672	0.19248
		Yices2	Yices2	unsat ✅	0.25593	0.13634
		Z3alpha	Z3-alpha	unsat ✅	0.60478	0.49835
		Z3	Z3-alpha-base	unsat ✅	0.28682	0.16843
			z3siri-base	unsat ✅	0.29695	0.17461