Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node47513.smt2

These benchmarks used in the paper:

  Dejan Jovanovic and Leonardo de Moura.  Solving Non-Linear Arithmetic.
  In IJCAR 2012, published as LNCS volume 7364, pp. 339--354.

The keymaera family contains VCs from Keymaera verification, see:

  A. Platzer, J.-D. Quesel, and P. Rummer.  Real world verification.
  In CADE 2009, pages 485-501. Springer, 2009.

Submitted by Dejan Jovanovic for SMT-LIB.

 KeYmaera example: intersection-example-onelane.proof, node 47513 For more info see: @see "Sarah M. Loos and Andre Platzer. Safe intersections: At the crossing of hybrid systems and verification. In Kyongsu Yi, editor, 14th International IEEE Conference on Intelligent Transportation Systems, ITSC 2011, Washington, DC, USA, Proceedings. 2011."
Benchmark
Size2044
Compressed Size875
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2014-07-21
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 2036
Compressed Size877
Max. Term Depth21
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and16 =>2 =2
exists1 let1 Real1 /2
+4 *5 <=7 >5
>=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01622 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.06267 0.05299
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 2.06763 2.06069
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00999 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01372 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01388 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.07082 0.07099
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01349 0.01393
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.17528 0.17767
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07733 0.04463
Z3 z3-4.4.1 default unsat ✅ 0.05669 0.05789
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01608 0.01538
Redlog Redlog default unsat ✅ 0.15257 0.15441
Vampire vampire4.2-smt vampire unsat ✅ 0.03877 0.03889
veriT veriT+Redlog_20170618 default unsat ✅ 0.14709 0.14736
Z3 z3-4.5.0 default unsat ✅ 0.07751 0.07747
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02215 0.02234
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 5.16344 20.35000
Z3 z3-4.7.1_default unsat ✅ 0.05681 0.05670
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01851 0.01873
Par4 Par4-wrapped-sq_default unsat ✅ 0.03312 0.00612
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.54585 3.41019
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.25905 3.41611
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.15435 0.08440
vampire-4.3-smt_vampire_smtcomp unsat ✅ 95.54000 378.73000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.06741 0.06744
z3-4.7.1_default unsat ✅ 0.06292 0.06284
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01991 0.02021
Par4 Par4-wrapped-sq_default unsat ✅ 0.03331 0.00624
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.45152 3.45653
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05116 0.05081
Z3 z3-4.8.8_default unsat ✅ 0.03440 0.03436
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03238 0.03291
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.99183 4.94599
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.06863 0.06445
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03963 0.03966
Z3 z3-4.8.17_default unsat ✅ 0.01970 0.02147
z3-4.8.11_default unsat ✅ 0.02079 0.02076
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02393 0.02451
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65227 1.00000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.68549 5.76506
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06210 0.06204
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03288 0.03290
Z3 z3-4.8.11_default unsat ✅ 0.01971 0.01964
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.23787 0.13538
iProver iProver v3.9 unsat ✅ 0.88643 1.66594
SMTInterpol SMTInterpol unsat ✅ 0.55531 0.74620
SMT-RAT SMT-RAT unsat ✅ 0.34752 0.24782
YicesQS YicesQS unsat ✅ 0.23374 0.13399
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29828 0.17501
iProver iProver v3.9.3 unsat ✅ 0.89627 1.82962
SMTInterpol SMTInterpol unsat ✅ 0.56724 0.69672
SMT-RAT SMT-RAT unsat ✅ 0.30195 0.17061
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.25897 4.79837
YicesQS YicesQS unsat ✅ 0.28715 0.17257
Z3alpha Z3-alpha unsat ✅ 0.39233 0.27921
Z3 Z3-alpha-base unsat ✅ 0.31522 0.18864