Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node41402.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 41402 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
Size1959
Compressed Size860
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 1951
Compressed Size866
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 /1
+3 *4 <1 <=7
>4 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01647 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03717 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02853 0.02100
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00906 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01323 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01297 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.04419 0.04399
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01261 0.01280
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.07360 0.07423
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.09410 0.04020
Z3 z3-4.4.1 default unknown ❌ 0.04565 0.04688
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01544 0.01497
Redlog Redlog default unsat ✅ 0.15343 0.15463
Vampire vampire4.2-smt vampire unsat ✅ 0.04161 0.04100
veriT veriT+Redlog_20170618 default unsat ✅ 0.14462 0.14495
Z3 z3-4.5.0 default unsat ✅ 0.04243 0.04082
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01983 0.02004
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.02260 3.82000
Z3 z3-4.7.1_default unsat ✅ 0.04166 0.04156
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02072 0.02106
Par4 Par4-wrapped-sq_default unsat ✅ 0.02848 0.00553
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.38661 3.36104
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.39906 3.46126
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.08349 0.08341
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.09856 4.06000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04732 0.04730
z3-4.7.1_default unsat ✅ 0.04503 0.04498
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01987 0.02016
Par4 Par4-wrapped-sq_default unsat ✅ 0.03254 0.00670
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.32810 3.47999
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05721 0.05689
Z3 z3-4.8.8_default unsat ✅ 0.03447 0.03443
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02065 0.02099
cvc5 cvc5-fixed_default unsat ✅ 0.02518 0.02564
Par4 Par4-wrapped-sq_default unsat ✅ 0.03292 0.00625
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 4.65653 4.93860
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05955 0.05946
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04563 0.04565
Z3 z3-4.8.11_default unsat ✅ 0.01871 0.01865
z3-4.8.8_default unsat ✅ 0.03459 0.03456
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02980 0.03034
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.97107 5.26819
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10754 0.10040
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03297 0.03300
Z3 z3-4.8.17_default unsat ✅ 0.01919 0.02097
z3-4.8.11_default unsat ✅ 0.01807 0.01786
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02314 0.02364
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65046 0.82000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.91917 5.04538
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.16743 0.10250
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03289 0.03295
Z3 z3-4.8.11_default unsat ✅ 0.01939 0.01930
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22358 0.12411
iProver iProver v3.9 unsat ✅ 0.85781 1.47250
SMTInterpol SMTInterpol unsat ✅ 0.49709 0.69476
SMT-RAT SMT-RAT unsat ✅ 0.22643 0.12667
YicesQS YicesQS unsat ✅ 0.23380 0.13431
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.27226 0.15432
iProver iProver v3.9.3 unsat ✅ 0.85290 1.59551
SMTInterpol SMTInterpol unsat ✅ 0.51956 0.64909
SMT-RAT SMT-RAT unsat ✅ 0.28928 0.16456
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.15938 4.41209
YicesQS YicesQS unsat ✅ 0.30143 0.17860
Z3alpha Z3-alpha unsat ✅ 0.40269 0.28201
Z3 Z3-alpha-base unsat ✅ 0.27438 0.15641