Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema4_2a.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-Bottema4.2a:
 Comparison of Area and Perimeter via RealGeom, Bottema 4.2 (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 A perpendicular to a. Let D be the intersection of f and a. Let h_a be the segment A, D. Compare (a + 2c)^2 and a h_a / 2.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1529
Compressed Size730
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 1519
Compressed Size729
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
*25 <4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.22 (7/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.19187 0.19200
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.05000 1199.92000
NRA-LS NRA-LS-FINAL_default unknown ❌ 1171.15000 1170.21000
Par4 Par4-wrapped-sq_default sat ✅ 0.04190 0.00650
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.16802 0.16528
veriT veriT+raSAT+Redlog_default sat ✅ 200.33100 200.33100
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.08180 0.08175
Z3 z3-4.8.17_default sat ✅ 0.03972 0.04166
Z3++ z3++0715_default sat ✅ 0.28287 0.28292