Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node20279.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 20279 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
Size2001
Compressed Size870
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 1993
Compressed Size871
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 ❌ 0.01673 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.02985 0.02600
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02869 0.02000
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00860 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01667 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01290 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.04558 0.04599
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.02535 0.02608
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05953 0.06010
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.09260 0.06372
Z3 z3-4.4.1 default unknown ❌ 0.04816 0.04946
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01593 0.01509
Redlog Redlog default unsat ✅ 0.15162 0.15287
Vampire vampire4.2-smt vampire unsat ✅ 0.04040 0.03972
veriT veriT+Redlog_20170618 default unsat ✅ 0.14671 0.14672
Z3 z3-4.5.0 default unsat ✅ 0.04232 0.04114
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02008 0.02027
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.24926 4.60000
Z3 z3-4.7.1_default unsat ✅ 0.04297 0.04288
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02030 0.02065
Par4 Par4-wrapped-sq_default unsat ✅ 0.03252 0.00805
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.29071 3.42370
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.22832 3.44465
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.26015 0.52826
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.75170 6.81000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04419 0.04419
z3-4.7.1_default unsat ✅ 0.04339 0.04334
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.02011 0.02041
Par4 Par4-wrapped-sq_default unsat ✅ 0.03166 0.00611
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.37815 3.45743
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05758 0.05713
Z3 z3-4.8.8_default unsat ✅ 0.03531 0.03527
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02037 0.02072
cvc5 cvc5-fixed_default unsat ✅ 0.02451 0.02506
Par4 Par4-wrapped-sq_default unsat ✅ 0.03395 0.00759
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.09888 5.20614
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05781 0.05723
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.04436 0.04439
Z3 z3-4.8.11_default unsat ✅ 0.01883 0.01879
z3-4.8.8_default unsat ✅ 0.03417 0.03414
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02992 0.03044
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.02771 5.10368
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10205 0.10220
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03212 0.03216
Z3 z3-4.8.17_default unsat ✅ 0.02034 0.02201
z3-4.8.11_default unsat ✅ 0.01896 0.01888
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02321 0.02372
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65053 1.01000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.08847 5.20439
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06475 0.06448
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03929 0.03929
Z3 z3-4.8.11_default unsat ✅ 0.01872 0.01864
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.33624 0.14522
iProver iProver v3.9 unsat ✅ 0.84501 1.69172
SMTInterpol SMTInterpol unsat ✅ 0.53715 0.75994
SMT-RAT SMT-RAT unsat ✅ 0.23222 0.13231
YicesQS YicesQS unsat ✅ 0.27740 0.15440
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.31027 0.17806
iProver iProver v3.9.3 unsat ✅ 0.84764 1.58828
SMTInterpol SMTInterpol unsat ✅ 0.55741 0.69530
SMT-RAT SMT-RAT unsat ✅ 0.32627 0.18275
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.20531 4.71330
YicesQS YicesQS unsat ✅ 0.30258 0.17861
Z3alpha Z3-alpha unsat ✅ 0.39490 0.27765
Z3 Z3-alpha-base unsat ✅ 0.30165 0.17849