Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node40206.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 40206 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 Size865
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 Size868
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 ❌ 0.01634 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03768 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.30948 0.02000
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00882 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01334 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01360 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.04482 0.04499
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01270 0.01289
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.07154 0.07214
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07611 0.04048
Z3 z3-4.4.1 default unsat ✅ 0.04503 0.04629
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01511 0.01404
Redlog Redlog default unsat ✅ 0.15303 0.15400
Vampire vampire4.2-smt vampire unsat ✅ 0.04164 0.04064
veriT veriT+Redlog_20170618 default unsat ✅ 0.14440 0.14503
Z3 z3-4.5.0 default unsat ✅ 0.04321 0.04168
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02103 0.02123
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.64679 6.22625
Z3 z3-4.7.1_default unsat ✅ 0.04126 0.04121
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02074 0.02109
Par4 Par4-wrapped-sq_default unsat ✅ 0.03045 0.00701
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.51705 3.46307
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.26047 3.42697
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.15503 0.08378
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.76963 2.72000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04687 0.04686
z3-4.7.1_default unsat ✅ 0.04487 0.04483
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02007 0.02035
Par4 Par4-wrapped-sq_default unsat ✅ 0.03333 0.00749
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.36229 3.55499
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05349 0.05328
Z3 z3-4.8.8_default unsat ✅ 0.03373 0.03370
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02056 0.02090
cvc5 cvc5-fixed_default unsat ✅ 0.02369 0.02419
Par4 Par4-wrapped-sq_default unsat ✅ 0.03658 0.00740
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.94608 5.15846
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10293 0.10408
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03273 0.03274
Z3 z3-4.8.11_default unsat ✅ 0.01871 0.01866
z3-4.8.8_default unsat ✅ 0.03425 0.03421
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03014 0.03060
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.00539 4.95771
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.07859 0.06710
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04166 0.04166
Z3 z3-4.8.17_default unsat ✅ 0.01939 0.02117
z3-4.8.11_default unsat ✅ 0.01807 0.01804
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.03892 0.03957
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65164 0.85603
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.14031 5.20624
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.10501 0.10410
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04001 0.04002
Z3 z3-4.8.11_default unsat ✅ 0.01875 0.01859
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22312 0.12328
iProver iProver v3.9 unsat ✅ 0.87132 1.55668
SMTInterpol SMTInterpol unsat ✅ 0.52300 0.74344
SMT-RAT SMT-RAT unsat ✅ 0.22060 0.12066
YicesQS YicesQS unsat ✅ 0.25984 0.16018
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30210 0.17592
iProver iProver v3.9.3 unsat ✅ 0.89270 1.52757
SMTInterpol SMTInterpol unsat ✅ 0.56313 0.69979
SMT-RAT SMT-RAT unsat ✅ 0.29376 0.16221
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.16657 4.76313
YicesQS YicesQS unsat ✅ 0.30654 0.17758
Z3alpha Z3-alpha unsat ✅ 0.41070 0.28332
Z3 Z3-alpha-base unsat ✅ 0.27373 0.15500