Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Area_Perimeter_a.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.

IsoTriangle-Area_Perimeter_a:
 Comparison of Area and Perimeter via RealGeom (isoceles triangle, ver. a):Let B_1, B_2 be arbitrary points. Let a be the segment B_1, B_2. Let g be the perpendicular bisector of a. Let A be a point on g. Let b be the segment A, B_1. Let D be the intersection of g and a. Let h_a be the segment D, A. Compare (a + 2b)^2 and a h_a / 2.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1229
Compressed Size649
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2022-08-10
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 1219
Compressed Size645
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants5
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =4 +3 -4
*12 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03172 0.03217
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.04434 0.04440
Par4 Par4-wrapped-sq_default sat ✅ 0.01573 0.00641
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02741 0.02738
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01097 0.01048
Z3alpha z3alpha_default sat ✅ 0.02290 0.02302
Z3++ z3++0715_default sat ✅ 0.29038 0.29010
Z3++_sq_0526_default sat ✅ 0.29715 0.29723