Benchmark

non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema4_2b.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-Bottema4.2b:
 Comparison of Area and Perimeter via realgeom, Bottema 4.2 (right triangle, ver. b):Let C, B be arbitrary points. Let a be the segment C, B. Let f be the line through C perpendicular to a. Let A be a point on f. Let c be the segment A, B. Let b be the segment C, A. Compare (a + b + c)^2 and a b / 2.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1230
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 1220
Compressed Size641
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants5
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =4 +4 -4
*17 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02692 0.02742
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05143 0.05150
Par4 Par4-wrapped-sq_default sat ✅ 0.01821 0.00635
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01606 0.01604
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01184 0.01179
Z3alpha z3alpha_default sat ✅ 0.02307 0.02328
Z3++ z3++0715_default sat ✅ 0.28310 0.28315
Z3++_sq_0526_default sat ✅ 0.28858 0.28867