Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema6_1a.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.

IsoTriangle-Bottema6.1a:
 Comparison of Sums of Heights and Perimeter via RealGeom, Bottema 6.1 (isosceles triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let d be the circle through B with center A. Let C be a point on d. Let a be the segment B, C. Let f be the line through C perpendicular to c. Let g be the line through A perpendicular to a. Let D be the intersection of c and f. Let E be the intersection of a and g. Let h_a be the segment C, D. Let h_c be the segment A, E. Compare 2h_a + h_c and a + 2c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1740
Compressed Size776
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 None
Size 1730
Compressed Size779
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants9
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =8 +7 -12
*27 <5