Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema4_2b.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-Bottema4.2b:
 Comparison of Area and Perimeter via RealGeom, Bottema 4.2 (isoceles triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let g be the perpendicular bisector of c. Let C be a point on g. Let b be the segment C, A. Let D be the intersection of g and c. Let h_c be the segment D, C. Compare (2b + c)^2 and c h_c / 2.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1227
Compressed Size652
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 1217
Compressed Size646
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 ✅ 0.02977 0.03020
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.04486 0.04492
Par4 Par4-wrapped-sq_default sat ✅ 0.01556 0.00634
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01908 0.01883
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01076 0.00982
Z3alpha z3alpha_default sat ✅ 0.02274 0.02296
Z3++ z3++0715_default sat ✅ 0.28902 0.28914
Z3++_sq_0526_default sat ✅ 0.28927 0.28932