Benchmark

non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_JSC_SUMCracker_14b.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: CAD calls of In[14] on page 12 in
M. Kauers, SumCracker: A Package for Manipulating Symbolic Sums and Related Objects, 
Journal of Symbolic Computation 41(9), 2006, pp. 1039-1057. 
(https://www.sciencedirect.com/science/article/pii/S0747717106000502)

All denominators in the original CAD call got cleared by introducing disjunctions with sign conditions:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b >= c  --> a >=b c && b >0  or ( a <= b c && b < 0)

Benchmark
Size	2404
Compressed Size	967
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	2022-02-03 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	sat
Inferred Status	sat
Size	2390
Compressed Size	958
Max. Term Depth	10
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

or	7	and	15	+	40	-	23
*	76	<	20	<=	4

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2025	0.17 (5/6)	cvc5	cvc5	sat ✅	120.11453	119.96793
		SMTInterpol	SMTInterpol	unknown ❌	0.43017	0.46342
		SMT-RAT	SMT-RAT	sat ✅	0.38565	0.24759
		Yices2	Yices2	sat ✅	0.26753	0.14759
		Z3alpha	Z3-alpha	sat ✅	0.62061	0.50887
		Z3	Z3-alpha-base	sat ✅	0.30261	0.17153
			z3siri-base	sat ✅	0.29425	0.17452