Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node32507.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 32507 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
Size1958
Compressed Size869
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 1950
Compressed Size868
Max. Term Depth20
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and15 =>2
=3 exists1 let1 Real1
/1 +3 *4 <=7
>4 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01627 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03685 0.02399
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.02332 0.01600
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00869 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01327 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01278 0.00900
Z3 z3 4.4.0 default unknown ❌ 0.04259 0.04299
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.02098 0.01399
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.07137 0.07191
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07897 0.04238
Z3 z3-4.4.1 default unknown ❌ 0.04044 0.04204
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01490 0.01367
Redlog Redlog default unsat ✅ 0.15029 0.15095
Vampire vampire4.2-smt vampire unsat ✅ 0.04326 0.03989
veriT veriT+Redlog_20170618 default unsat ✅ 0.14718 0.14757
Z3 z3-4.5.0 default unsat ✅ 0.04261 0.04139
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01934 0.01956
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.64551 2.45000
Z3 z3-4.7.1_default unsat ✅ 0.04385 0.04380
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02085 0.02119
Par4 Par4-wrapped-sq_default unsat ✅ 0.03184 0.00820
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.21563 3.24216
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.46401 3.45310
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.09985 0.08218
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.66352 2.48000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.05594 0.05594
z3-4.7.1_default unsat ✅ 0.05373 0.05365
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01979 0.02010
Par4 Par4-wrapped-sq_default unsat ✅ 0.03017 0.00588
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.47869 3.50785
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05301 0.05282
Z3 z3-4.8.8_default unsat ✅ 0.03430 0.03424
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02062 0.02095
cvc5 cvc5-fixed_default unsat ✅ 0.02341 0.02397
Par4 Par4-wrapped-sq_default unsat ✅ 0.03246 0.00805
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.10301 5.18206
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10167 0.10317
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03125 0.03126
Z3 z3-4.8.11_default unsat ✅ 0.01793 0.01789
z3-4.8.8_default unsat ✅ 0.03445 0.03442
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 ❌ 3.04511 4.96465
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.06612 0.06599
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03946 0.03948
Z3 z3-4.8.17_default unsat ✅ 0.01989 0.02168
z3-4.8.11_default unsat ✅ 0.01897 0.01894
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02273 0.02326
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65019 0.81000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.87837 5.04276
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.17201 0.17283
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03254 0.03259
Z3 z3-4.8.11_default unsat ✅ 0.01875 0.01867
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22983 0.12998
iProver iProver v3.9 unsat ✅ 0.83738 1.48082
SMTInterpol SMTInterpol unsat ✅ 0.51649 0.69478
SMT-RAT SMT-RAT unsat ✅ 0.22291 0.12311
YicesQS YicesQS unsat ✅ 0.23426 0.13442
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30059 0.17403
iProver iProver v3.9.3 unsat ✅ 0.87352 1.57708
SMTInterpol SMTInterpol unsat ✅ 0.53389 0.65864
SMT-RAT SMT-RAT unsat ✅ 0.29417 0.16765
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.14298 4.47384
YicesQS YicesQS unsat ✅ 0.31225 0.19459
Z3alpha Z3-alpha unsat ✅ 0.39738 0.27768
Z3 Z3-alpha-base unsat ✅ 0.31231 0.18571