Benchmark

non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema1_19a.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.

RightTriangle-Bottema1.19a:
 Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.19 (right triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let d be the circle through B with center M. Let C be a point on d. Let b be the segment A, C. Let a be the segment C, B. Compare a^2 + b^2 + c^2 and (a + b + c)^2.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1456
Compressed Size696
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 1446
Compressed Size701
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =5 +5 -12
*29 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.31416 0.31473
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.32285 0.32288
Par4 Par4-wrapped-sq_default sat ✅ 0.03197 0.00636
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02033 0.02031
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01963 0.01960
Z3alpha z3alpha_default sat ✅ 0.02571 0.02591
Z3++ z3++0715_default sat ✅ 0.29117 0.29122
Z3++_sq_0526_default sat ✅ 0.29036 0.29046