Benchmark

non-incremental/QF_UFNRA/20230328-sqrtmodinv-hoenicke/sqrtStep1.smt2

This is a relaxed variant of the benchmark in QF_NIA.
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	3960
Compressed Size	982
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	—
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	unsat
Inferred Status	unsat
Size	3952
Compressed Size	989
Max. Term Depth	7
Asserts	26
Declared Functions	1
Declared Constants	3
Declared Sorts	0
Defined Functions	4
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

Bool	3	ite	3	not	1	or	3
and	9	=>	3	=	6	Real	1
/	17	+	25	-	23	*	24
<	7	<=	5	>	2	>=	7

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2023	0.50 (2/4)	CVC4	CVC4-sq-final_default	unknown ❌	3.96255	3.96232
		cvc5	cvc5-default-2023-05-16-ea045f305_sq	unsat ✅	17.31130	17.31110
		SMTInterpol	smtinterpol-2.5-1272-g2d6d356c_default	unknown ❌	0.35965	0.50357
		Yices2	Yices 2 for SMTCOMP 2023_default	unsat ✅	0.01855	0.01852
SMT-COMP 2024	0.67 (1/3)	cvc5	cvc5	unknown ❌	1201.71825	1201.07881
		SMTInterpol	SMTInterpol	unknown ❌	0.48134	0.62685
		Yices2	Yices2	unsat ✅	0.26939	0.16938
SMT-COMP 2025	0.33 (2/3)	cvc5	cvc5	unsat ✅	5.43189	5.30892
		SMTInterpol	SMTInterpol	unknown ❌	0.50501	0.57387
		Yices2	Yices2	unsat ✅	0.30720	0.18738