Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_2.smt2

The authors Robert Vajda and Zoltan Kovacs released this problem in the paper that can be found in "http://ceur-ws.org/Vol-2752/paper15.pdf". A short description of the problem can be found down below.

Triangle-Bottema1.2:
 Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.2):Let A, B, C be arbitrary points. Let t1 be the polygon A, B, C. Let c be the segment A, B. Let a be the segment B, C. Let b be the segment C, A. Compare a^2 + b^2 + c^2 and (a + b + c)^2 / 4 + (2a b c) / (a + b + c).

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.

Benchmark
Size	1610
Compressed Size	713
License	Creative Commons Attribution 4.0 International (CC-BY-4.0)
Category	industrial
First Occurrence	2022-08-10
Generated By	—
Generated On	—
Generator	—
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	sat
Inferred Status	sat
Size	1600
Compressed Size	713
Max. Term Depth	6
Asserts	1
Declared Functions	0
Declared Constants	7
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

and	1	=	5	+	5	-	15
*	52	<	4

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2022	0.11 (8/9)	cvc5	cvc5-default-2022-07-02-b15e116-wrapped_sq	sat ✅	0.08245	0.08282
		MathSAT	MathSAT-5.6.8_default	unknown ❌	1200.03000	1199.99000
		NRA-LS	NRA-LS-FINAL_default	sat ✅	0.23144	0.23134
		Par4	Par4-wrapped-sq_default	sat ✅	0.02419	0.00644
		SMT-RAT	SMT-RAT-MCSAT_default	sat ✅	39.17390	39.17020
		veriT	veriT+raSAT+Redlog_default	sat ✅	2.22493	2.22443
		Yices2	Yices 2.6.2 for SMTCOMP 2021_default	sat ✅	0.01542	0.01535
		Z3	z3-4.8.17_default	sat ✅	0.02030	0.02213
		Z3++	z3++0715_default	sat ✅	0.28378	0.28385