Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_3.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-Bottema1.3:
 Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.3):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 + b - c) (b + c - a) (c + a - b) and a b c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1370
Compressed Size660
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 1360
Compressed Size656
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 =5 +5 -10
*25 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.23049 0.13076
SMTInterpol SMTInterpol unknown ❌ 0.40952 0.41868
SMT-RAT SMT-RAT sat ✅ 0.35347 0.25343
Yices2 Yices2 sat ✅ 0.22015 0.12055
Z3alpha Z3-alpha sat ✅ 0.36554 0.26628
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.26566 0.14974
SMTInterpol SMTInterpol unknown ❌ 0.45809 0.44803
SMT-RAT SMT-RAT sat ✅ 0.29357 0.16571
Yices2 Yices2 sat ✅ 0.30598 0.16820
Z3alpha Z3-alpha sat ✅ 0.59150 0.47069
Z3 Z3-alpha-base sat ✅ 0.31490 0.18913
z3siri-base sat ✅ 0.30313 0.17585