Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema1_1b.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-Bottema1.1b:
 Comparison of Expressions Related to Triangle Sides via RealGeom, Bottema 1.1 (isosceles 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 A, C. Compare (2b + c)^2 and b^2 + 2b c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1138
Compressed Size631
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 1128
Compressed Size624
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =3 +3 -4
*13 <3

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.22336 0.12358
SMTInterpol SMTInterpol unknown ❌ 0.43025 0.42176
SMT-RAT SMT-RAT sat ✅ 0.21637 0.11694
Yices2 Yices2 sat ✅ 0.21629 0.11657
Z3alpha Z3-alpha sat ✅ 0.26556 0.16586
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.26835 0.15212
SMTInterpol SMTInterpol unknown ❌ 0.45232 0.42142
SMT-RAT SMT-RAT sat ✅ 0.28775 0.16150
Yices2 Yices2 sat ✅ 0.25461 0.13691
Z3alpha Z3-alpha sat ✅ 0.59611 0.47521
Z3 Z3-alpha-base sat ✅ 0.30414 0.18256
z3siri-base sat ✅ 0.28507 0.16650