Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node46858.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 46858 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
Size2432
Compressed Size975
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 2424
Compressed Size992
Max. Term Depth24
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
=2 exists1 let3 Real1
/6 +10 -1 *16
<1 <=6 >7 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00883 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.30451 0.28496
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 1.02188 1.00785
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00858 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2401.23000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.60200 360.71800
Z3 z3 4.4.0 default unsat ✅ 0.88314 0.88387
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.31518 0.31543
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.60139 0.60490
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.76505 0.67623
Z3 z3-4.4.1 default unsat ✅ 1.01418 1.01609
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.58795 0.58770
Redlog Redlog default unsat ✅ 0.14778 0.14852
Vampire vampire4.2-smt vampire unsat ✅ 0.08002 0.07912
veriT veriT+Redlog_20170618 default unsat ✅ 0.14607 0.14711
Z3 z3-4.5.0 default unsat ✅ 0.04242 0.04189
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.56142 0.56158
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10592 0.14700
Z3 z3-4.7.1_default unsat ✅ 3.57809 3.57757
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.70042 0.70076
Par4 Par4-wrapped-sq_default unsat ✅ 0.65559 1.19000
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.36031 3.48519
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.35011 3.46671
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.18597 0.18539
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.10750 0.14920
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 2.69611 2.69600
z3-4.7.1_default unsat ✅ 2.88173 2.88117
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.71266 0.71292
Par4 Par4-wrapped-sq_default unsat ✅ 0.65283 1.22000
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.43615 3.47627
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.15526 0.09196
Z3 z3-4.8.8_default unsat ✅ 0.03415 0.03406
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.70398 0.70432
cvc5 cvc5-fixed_default unsat ✅ 0.35378 0.35433
Par4 Par4-wrapped-sq_default unsat ✅ 0.68230 1.20000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.08000 1203.71000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10710 0.10768
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.05289 0.05294
Z3 z3-4.8.11_default unsat ✅ 0.01910 0.01903
z3-4.8.8_default unsat ✅ 0.03432 0.03425
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.31736 0.31789
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.03000 1203.65000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.16660 0.09583
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04656 0.04655
Z3 z3-4.8.17_default unsat ✅ 0.02238 0.02415
z3-4.8.11_default unsat ✅ 0.02173 0.02165
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.16544 0.16599
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65088 2.03548
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.03000 1203.84000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.16931 0.09659
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04492 0.04491
Z3 z3-4.8.11_default unsat ✅ 0.01958 0.01943
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.32285 0.22317
iProver iProver v3.9 unsat ✅ 0.85442 1.66979
SMTInterpol SMTInterpol unknown ❌ 0.55327 0.89758
SMT-RAT SMT-RAT unsat ✅ 1.09758 0.99793
YicesQS YicesQS unsat ✅ 0.31911 0.19269
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.31947 0.20162
iProver iProver v3.9.3 unsat ✅ 0.89164 1.29206
SMTInterpol SMTInterpol unknown ❌ 0.60495 0.90025
SMT-RAT SMT-RAT unsat ✅ 0.30452 0.17925
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.75221 1204.60818
YicesQS YicesQS unsat ✅ 0.29692 0.17564
Z3alpha Z3-alpha unsat ✅ 0.41054 0.34140
Z3 Z3-alpha-base unsat ✅ 0.32218 0.19944