Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_9.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-Bottema1.9:
 Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.9):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^3 (b + c - a) + b^3 (c + a - b) + c^3 (a + b - c) and (a + b + c) a b c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1454
Compressed Size680
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 1444
Compressed Size682
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =5 +5 -11
*29 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.04358 0.04400
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.10228 0.10235
Par4 Par4-wrapped-sq_default sat ✅ 0.02099 0.00639
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01409 0.01408
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01268 0.01263
Z3alpha z3alpha_default sat ✅ 0.02299 0.02322
Z3++ z3++0715_default sat ✅ 0.28387 0.28392
Z3++_sq_0526_default sat ✅ 0.29034 0.29041