Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node37527.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 37527 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
Size2249
Compressed Size927
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 2241
Compressed Size936
Max. Term Depth22
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and17 =>2
=3 exists1 let1 Real1
/3 +6 *11 <2
<=6 >5 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01635 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.01799 0.00700
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02302 0.01500
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00859 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01077 0.00800
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01065 0.00800
Z3 z3 4.4.0 default unsat ✅ 2.03728 2.03769
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01104 0.01127
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05045 0.05089
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.05169 0.05145
Z3 z3-4.4.1 default unsat ✅ 0.34562 0.34689
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.14447 0.01678
Redlog Redlog default unsat ✅ 0.37749 0.16299
Vampire vampire4.2-smt vampire unsat ✅ 0.04236 0.03976
veriT veriT+Redlog_20170618 default unsat ✅ 0.14594 0.14591
Z3 z3-4.5.0 default unsat ✅ 0.04226 0.04145
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01265 0.01279
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10036 0.16167
Z3 z3-4.7.1_default unsat ✅ 154.38800 154.37200
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01737 0.01774
Par4 Par4-wrapped-sq_default unsat ✅ 0.02224 0.00617
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.43968 3.56467
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.40822 3.35515
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.10185 0.09876
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.08542 0.14831
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.06751 0.06752
z3-4.7.1_default unsat ✅ 0.06620 0.06617
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01681 0.01699
Par4 Par4-wrapped-sq_default unsat ✅ 0.02477 0.00765
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.48985 3.51925
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.04553 0.04535
Z3 z3-4.8.8_default unsat ✅ 0.03336 0.03333
SMT-COMP 2021 CVC4 CVC4-sq-final_default unsat ✅ 0.03180 0.03154
cvc5 cvc5-fixed_default unsat ✅ 0.01957 0.02012
Par4 Par4-wrapped-sq_default unsat ✅ 0.02323 0.00608
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unsat ✅ 3.97456 4.74160
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.06402 0.05594
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03357 0.03359
Z3 z3-4.8.11_default unsat ✅ 0.01773 0.01770
z3-4.8.8_default unsat ✅ 0.03376 0.03371
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02742 0.02739
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unsat ✅ 2.82846 4.72756
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.05379 0.05274
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03418 0.03417
Z3 z3-4.8.17_default unsat ✅ 0.01842 0.02018
z3-4.8.11_default unsat ✅ 0.01842 0.01838
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.01928 0.01988
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65113 0.30901
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unsat ✅ 2.69342 4.74405
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.05686 0.05680
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03442 0.03426
Z3 z3-4.8.11_default unsat ✅ 0.01851 0.01844
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.27690 0.17065
iProver iProver v3.9 unsat ✅ 0.83455 0.41378
SMTInterpol SMTInterpol unsat ✅ 0.49911 0.67147
SMT-RAT SMT-RAT unsat ✅ 0.41610 0.31632
YicesQS YicesQS unsat ✅ 0.23486 0.13532
SMT-COMP 2025 cvc5 cvc5 unsat ✅ 0.29694 0.16844
iProver iProver v3.9.3 unsat ✅ 0.87182 0.43082
SMTInterpol SMTInterpol unsat ✅ 0.52026 0.62520
SMT-RAT SMT-RAT unsat ✅ 0.32413 0.16225
UltimateEliminator UltimateEliminator+MathSAT unsat ✅ 1.90944 4.12047
YicesQS YicesQS unsat ✅ 0.27320 0.15731
Z3alpha Z3-alpha unsat ✅ 0.39745 0.28107
Z3 Z3-alpha-base unsat ✅ 0.27958 0.15883