Benchmark

non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_JSC_SUMCracker_14c.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	3397
Compressed Size	1104
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	3385
Compressed Size	1081
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	10	and	21	+	70	-	31
*	158	<	28	<=	6

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2025	0.17 (5/6)	cvc5	cvc5	sat ✅	900.39710	900.14349
		SMTInterpol	SMTInterpol	unknown ❌	0.47797	0.59589
		SMT-RAT	SMT-RAT	sat ✅	2.38635	2.26420
		Yices2	Yices2	sat ✅	0.29831	0.17168
		Z3alpha	Z3-alpha	sat ✅	0.59596	0.48988
		Z3	Z3-alpha-base	sat ✅	0.31744	0.19189
			z3siri-base	sat ✅	0.30915	0.18177