Benchmark

non-incremental/NRA/keymaera/ETCS-essentials-node4106.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: ETCS-essentials, node 4106 For more info see: @see "Andre Platzer. Differential dynamic logic for hybrid systems. Journal of Automated Reasoning, 41(2), pages 143-189, 2008."
Benchmark
Size1886
Compressed Size804
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 1878
Compressed Size809
Max. Term Depth15
Asserts 1
Declared Functions0
Declared Constants10
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and8 =>2 exists1
let1 Real1 /4 +7
-3 *19 <=6 >1
>=4

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00876 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.18047 0.16197
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 25.78350 25.78610
SMT-COMP 2015 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00866 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.85000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 361.48700 361.46700
Z3 z3 4.4.0 default unsat ✅ 34.81730 34.83170
SMT-COMP 2016 0.67 (1/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.14707 0.14769
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 820.69900 824.37000
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 32.85460 48.79200
Z3 z3-4.4.1 default unknown ❌ 41.07280 41.09690
SMT-COMP 2017 0.20 (4/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 301.24400 300.23900
Redlog Redlog default unsat ✅ 0.18974 0.18568
Vampire vampire4.2-smt vampire unsat ✅ 0.27534 0.27175
veriT veriT+Redlog_20170618 default unsat ✅ 2.68557 2.69174
Z3 z3-4.5.0 default unsat ✅ 14.12090 14.11950
SMT-COMP 2018 0.33 (2/3) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.01000 1198.86000
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.25783 4.78000
Z3 z3-4.7.1_default unsat ✅ 33.95910 33.95640
SMT-COMP 2019 0.40 (3/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.03000 2394.84000
Par4 Par4-wrapped-sq_default unsat ✅ 0.09960 0.00610
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.27687 3.25163
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.52269 3.40222
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 2.16443 8.45000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1.44216 5.53000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.08536 0.08534
z3-4.7.1_default unsat ✅ 0.09149 0.09142
SMT-COMP 2020 0.40 (3/5) CVC4 CVC4-sq-final_default unknown ❌ 1200.05000 1193.96000
Par4 Par4-wrapped-sq_default unsat ✅ 0.09625 0.00590
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.44157 3.47727
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.40523 0.40178
Z3 z3-4.8.8_default unsat ✅ 0.03981 0.03976
SMT-COMP 2021 0.57 (3/7) CVC4 CVC4-sq-final_default unknown ❌ 1200.02000 1195.40000
cvc5 cvc5-fixed_default unknown ❌ 1200.12000 1198.10000
Par4 Par4-wrapped-sq_default unknown ❌ 1200.11000 2397.88000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.77000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.39785 0.33066
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.34430 0.34431
Z3 z3-4.8.11_default unsat ✅ 0.02427 0.02425
z3-4.8.8_default unsat ✅ 0.04041 0.04036
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.28502 0.28560
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.03000 1203.84000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.25191 0.24247
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.28836 0.28835
Z3 z3-4.8.17_default unsat ✅ 0.02481 0.02655
z3-4.8.11_default unsat ✅ 0.02382 0.02378
SMT-COMP 2023 0.33 (4/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.09246 0.09296
iProver iProver-3.8-fix_iprover_SMT unknown ❌ 1200.13000 4750.86000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.03000 1204.09000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.18973 0.18981
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.29387 0.29387
Z3 z3-4.8.11_default unsat ✅ 0.02433 0.02430
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.27473 0.17191
iProver iProver v3.9 unsat ✅ 1136.96756 4514.61292
SMTInterpol SMTInterpol unknown ❌ 0.52884 0.71751
SMT-RAT SMT-RAT unsat ✅ 0.27593 0.17639
YicesQS YicesQS unsat ✅ 0.64528 0.54498
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.36680 0.24147
iProver iProver v3.9.3 unsat ✅ 276.74214 1097.86059
SMTInterpol SMTInterpol unknown ❌ 0.50194 0.59189
SMT-RAT SMT-RAT unsat ✅ 0.30409 0.17451
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.74787 1204.47364
YicesQS YicesQS unsat ✅ 0.41597 0.29689
Z3alpha Z3-alpha unsat ✅ 0.41112 0.34115
Z3 Z3-alpha-base unsat ✅ 0.28734 0.16890