Benchmark

non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_Bessack_5_m3.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: 
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(5,-3) 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	1572
Compressed Size	815
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	2022-01-08 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	1506
Compressed Size	802
Max. Term Depth	7
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	1	and	1	=	1	+	16
*	16	<	5	<=	1

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2025	0.17 (5/6)	cvc5	cvc5	unsat ✅	0.26257	0.14531
		SMTInterpol	SMTInterpol	unknown ❌	0.45683	0.43916
		SMT-RAT	SMT-RAT	unsat ✅	0.25517	0.13638
		Yices2	Yices2	unsat ✅	0.25846	0.13761
		Z3alpha	Z3-alpha	unsat ✅	0.60591	0.48810
		Z3	Z3-alpha-base	unsat ✅	0.30791	0.18655
			z3siri-base	unsat ✅	0.25678	0.14246