Benchmark

non-incremental/UF/sledgehammer/Fundamental_Theorem_Algebra/uf.1413202.smt2 

Benchmarks from the paper: "Extending Sledgehammer with SMT Solvers" by Jasmin Blanchette, Sascha Bohme, and Lawrence C. Paulson, CADE 2011.  Translated to SMT2 by Andrew Reynolds and Morgan Deters.
Benchmark
Size33906
Compressed Size3986
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 33898
Compressed Size3998
Max. Term Depth11
Asserts 216
Declared Functions11
Declared Constants19
Declared Sorts 14
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

true8 false25 not50 or26
and23 =>269 =657 forall247
exists24 let62

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.25 (3/4) CVC3 CVC3 default unsat ✅ 0.06862 0.05999
CVC4 CVC4 f7118b2 default unsat ✅ 0.09779 0.08599
veriT veriT-smtcomp2014 default unsat ✅ 0.03383 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 2399.12000 2400.07000
SMT-COMP 2015 0.25 (3/4) CVC3 CVC3 default unsat ✅ 0.06132 0.06099
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.07929 0.07699
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.07912 0.07599
veriT veriT default unsat ✅ 0.02916 0.02799
Z3 z3 4.4.0 default unknown ❌ 2400.01000 2400.90000
SMT-COMP 2016 0.50 (3/6) CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.09654 0.09684
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.66997 0.67454
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.07670 0.06715
veriT veriT-dev default unsat ✅ 0.02385 0.02425
Z3 z3-4.4.1 default unknown ❌ 2400.04000 2401.61000
SMT-COMP 2017 0.50 (3/6) CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.09707 0.09103
Vampire vampire4.2-smt vampire unsat ✅ 0.11079 0.10629
veriT veriT-2017-06-17 default unsat ✅ 0.04739 0.04148
Z3 z3-4.5.0 default unknown ❌ 600.01300 599.73000
SMT-COMP 2018 0.50 (3/6) CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.09561 0.09585
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.22620 0.11785
veriT veriT_default unsat ✅ 0.03980 0.04004
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1199.82000
SMT-COMP 2019 0.38 (5/8) Alt-Ergo Alt-Ergo-SMTComp-2019-wrapped-sq_default unsat ✅ 0.22400 0.22341
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.09914 0.09943
master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.09747 0.09778
Par4 Par4-wrapped-sq_default unsat ✅ 0.05526 0.00609
SMTInterpol smtinterpol-2.5-514-wrapped-sq_default unknown ❌ 2400.04000 2406.05000
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.42404 3.37801
UltimateEliminator+SMTInterpol-wrapped-sq_default unknown ❌ 2.09127 3.30243
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.38413 3.29078
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.62491 2.01000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.22740 0.12177
veriT veriT-wrapped-sq_default unsat ✅ 0.04396 0.04430
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 787.36500 786.85700
SMT-COMP 2020 0.29 (5/7) Alt-Ergo Alt-Ergo-SMTComp-2020_default unsat ✅ 0.26800 0.26704
CVC4 CVC4-sq-final_default unsat ✅ 0.11932 0.11963
CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.09976 0.09998
SMTInterpol smtinterpol-2.5-679-gacfde87a_default unsat ✅ 0.72610 1.78911
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.28784 3.42901
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.11235 0.10980
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.24949 0.12463
veriT veriT_default unsat ✅ 0.03282 0.03311
veriT+vite_default unsat ✅ 0.03053 0.03087
Z3 z3-4.8.8_default unknown ❌ 1200.02000 1199.53000
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.09159 0.09198
cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.10890 0.10945
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.64921 1.99000
SMTInterpol smtinterpol-2.5-1272-g2d6d356c_default unsat ✅ 1.07713 3.00594
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.97510 4.83227
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.19174 0.16216
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 3.71778 3.71747
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.25310 0.15346
iProver iProver v3.9 unsat ✅ 1.35023 3.80731
SMTInterpol SMTInterpol unsat ✅ 1.18647 3.09113
Yices2 Yices2 unsat ✅ 4.67172 4.56895
SMT-COMP 2025 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.32830 0.20335
iProver iProver v3.9.3 unsat ✅ 1.39231 3.83756
SMTInterpol SMTInterpol unsat ✅ 1.10138 2.71084
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1.91124 3.95671
Yices2 Yices2 unsat ✅ 53.05079 52.91603