Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-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.

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

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1309
Compressed Size683
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 1299
Compressed Size688
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =4 +4 -6
*19 <3

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.04072 0.04113
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.06000 1199.99000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.03155 0.03161
Par4 Par4-wrapped-sq_default sat ✅ 0.03386 0.00706
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01334 0.01332
veriT veriT+raSAT+Redlog_default sat ✅ 0.01769 0.01760
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01373 0.01359
Z3 z3-4.8.17_default sat ✅ 0.01930 0.02126
Z3++ z3++0715_default sat ✅ 0.28708 0.28715