Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema8_1a.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-Bottema8.1a:
 Comparison of Sums of Medians and Perimeter via RealGeom, Bottema 8.1 (isosceles triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let d be the circle through B with center A. Let C be a point on d. Let a be the segment B, C. Let D be the midpoint of a. Let m_a be the segment A, D. Let E be the midpoint of c. Let m_c be the segment C, E. Compare m_a + 2m_c and a + 2c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1530
Compressed Size725
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 1520
Compressed Size724
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =6 +6 -10
*28 <5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2025 0.33 (4/6) cvc5 cvc5 unknown ❌ 1201.78492 1201.05722
SMTInterpol SMTInterpol unknown ❌ 0.47012 0.45410
SMT-RAT SMT-RAT sat ✅ 0.32236 0.20503
Yices2 Yices2 sat ✅ 0.27164 0.15067
Z3alpha Z3-alpha sat ✅ 0.59784 0.50038
Z3 Z3-alpha-base sat ✅ 0.31046 0.17669
z3siri-base sat ✅ 0.27131 0.14861