Benchmark

non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema6_1b.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-Bottema6.1b:
 Comparison of Sum of Heights and Perimeter via realgeom, Bottema 6.1 (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 h be the line through C perpendicular to c. Let D be the intersection of c and h. Let h_c be the segment C, D. Let b be the segment C, A. Compare a + b + h_c and a + b + c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1549
Compressed Size719
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 1539
Compressed Size717
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants8
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =7 +7 -9
*20 <5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 0.43 (4/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.02000 1194.52000
NRA-LS cvc5-NRA-LS-sq_default unknown ❌ 1170.03000 1169.90000
Par4 Par4-wrapped-sq_default sat ✅ 0.04928 0.00648
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02502 0.02499
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.02000 1199.96000
Z3alpha z3alpha_default sat ✅ 0.02763 0.02760
Z3++ z3++0715_default sat ✅ 0.28968 0.28974
Z3++_sq_0526_default sat ✅ 0.29054 0.29061