Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_4.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-Bottema1.4:
 Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.4):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) (b + c) (c + a) and a b c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1302
Compressed Size642
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 1292
Compressed Size637
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 -6
*21 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03987 0.04038
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.18897 0.18903
Par4 Par4-wrapped-sq_default sat ✅ 0.02686 0.00660
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 1.26074 1.26057
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01306 0.01303
Z3alpha z3alpha_default sat ✅ 0.02454 0.02479
Z3++ z3++0715_default sat ✅ 0.28346 0.28355
Z3++_sq_0526_default sat ✅ 0.30020 0.29991
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 0.30695 0.17806
SMTInterpol SMTInterpol unknown ❌ 0.44371 0.42290
SMT-RAT SMT-RAT sat ✅ 0.26408 0.14789
Yices2 Yices2 sat ✅ 0.29793 0.17210
Z3alpha Z3-alpha sat ✅ 0.59597 0.47856
Z3 Z3-alpha-base sat ✅ 0.32166 0.19090
z3siri-base sat ✅ 0.33515 0.20437