Benchmark

non-incremental/QF_NIA/20230328-sqrtmodinv-hoenicke/sqrtStep3a.smt2

This checks the validity of the newton-raphson step that computes
the square root from an initial approximation:

  assume abs(x - (res * res)) <= oldeps
  res = (res + (x / res)) / 2
  assert abs(x - (res * res)) <= neweps

where neweps depends on oldeps.  It also considers rounding errors
correctly.

Benchmark
Size	1151
Compressed Size	573
License	Creative Commons Attribution 4.0 International (CC-BY-4.0)
Category	crafted
First Occurrence	2023-07-06
Generated By	Jochen Hoenicke
Generated On	2023-03-28 00:00:00
Generator	Handwritten
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	unsat
Inferred Status	unsat
Size	1142
Compressed Size	563
Max. Term Depth	6
Asserts	5
Declared Functions	0
Declared Constants	3
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

not	1	or	2	and	2	=	1
div	4	+	8	*	7	<	2
<=	4	>=	2

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2023	0.60 (2/5)	cvc5	cvc5-default-2023-05-16-ea045f305_sq	unknown ❌	1200.02000	1197.34000
		Yices2	Yices 2 for SMTCOMP 2023_default	unknown ❌	1200.03000	1199.75000
		Yices-ismt	yices-ismt-sq-0526_default	unknown ❌	1199.16000	1199.01000
		Z3alpha	z3alpha_default	unsat ✅	411.26500	411.02400
		Z3++	z3++0715_default	unsat ✅	83.63010	83.61780
			Z3++_sq_0526_default	unsat ✅	32.10400	32.10180
SMT-COMP 2025	0.60 (2/5)	cvc5	cvc5	unknown ❌	1201.74437	1200.95545
		SMTInterpol	SMTInterpol	unknown ❌	0.45564	0.42444
		Yices2	Yices2	unknown ❌	1201.30034	1200.99652
		Z3alpha	Z3-alpha	unsat ✅	0.40625	0.39087
		Z3	Z3-alpha-base	unsat ✅	0.33705	0.20672
			z3siri-base	unsat ✅	0.34813	0.22104