Benchmark

non-incremental/UF/sledgehammer/Fundamental_Theorem_Algebra/uf.704825.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
Size	3653
Compressed Size	907
License	Creative Commons Attribution 4.0 International (CC-BY-4.0)
Category	industrial
First Occurrence	2014-07-21
Generated By	—
Generated On	—
Generator	—
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	sat
Inferred Status	sat
Size	3645
Compressed Size	903
Max. Term Depth	9
Asserts	32
Declared Functions	9
Declared Constants	15
Declared Sorts	11
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

false	4	not	9	or	2	and	1
=>	16	=	57	forall	24	exists	4
let	1

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2014	0.75 (1/4)	CVC3	CVC3 default	unknown ❌	3.00267	2.99554
		CVC4	CVC4 f7118b2 default	sat ✅	40.09290	40.09090
		veriT	veriT-smtcomp2014 default	unknown ❌	94.63250	94.64660
		Z3	Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default	unknown ❌	2399.12000	2400.05000
SMT-COMP 2015	0.75 (1/4)	CVC3	CVC3 default	unknown ❌	0.88775	0.88687
		CVC4	CVC4-master-2015-06-15-9b32405-main default	sat ✅	20.11250	20.09590
			CVC4-experimental-2015-06-15-ff5745a-main default	sat ✅	20.09380	20.09790
		veriT	veriT default	unknown ❌	850.61100	850.89800
		Z3	z3 4.4.0 default	unknown ❌	2400.01000	2400.74000
SMT-COMP 2016	0.67 (2/6)	CVC4	CVC4-master-2016-05-27-cfef263-main default	sat ✅	300.24700	300.38400
		Vampire	vampire_smt_4.1 vampire_smtcomp	sat ✅	9.85806	9.91254
			vampire_smt_4.1_parallel vampire_smtcomp	sat ✅	0.19824	0.19809
		veriT	veriT-dev default	unknown ❌	2400.03000	2401.43000
		Z3	z3-4.4.1 default	unknown ❌	2400.03000	2401.58000
SMT-COMP 2017	0.67 (2/6)	CVC4	CVC4-smtcomp2017-main default	sat ✅	450.32000	450.26000
		Vampire	vampire4.2-smt vampire	sat ✅	0.08355	0.11765
		veriT	veriT-2017-06-17 default	unknown ❌	600.01800	599.95800
		Z3	z3-4.5.0 default	unknown ❌	600.01200	599.94900
SMT-COMP 2018	0.67 (2/6)	CVC4	master-2018-06-10-b19c840-competition-default_default	sat ✅	480.41800	480.21900
		Vampire	vampire-4.3-smt_vampire_smtcomp	sat ✅	0.22862	0.22253
		veriT	veriT_default	unknown ❌	1200.05000	1199.97000
		Z3	z3-4.7.1_default	unknown ❌	1200.10000	1200.10000
SMT-COMP 2019	0.50 (4/8)	Alt-Ergo	Alt-Ergo-SMTComp-2019-wrapped-sq_default	unknown ❌	2400.07000	9509.86000
		CVC4	CVC4-2019-06-03-d350fe1-wrapped-sq_default	sat ✅	960.48100	960.45600
			master-2018-06-10-b19c840-competition-default_default	sat ✅	480.40200	480.43000
		Par4	Par4-wrapped-sq_default	sat ✅	480.48100	1440.64000
		SMTInterpol	smtinterpol-2.5-514-wrapped-sq_default	unknown ❌	1.54049	3.74780
		UltimateEliminator	UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default	unknown ❌	2.34502	3.35722
			UltimateEliminator+SMTInterpol-wrapped-sq_default	unknown ❌	2.12420	3.31071
			UltimateEliminator+Yices-2.6.1-wrapped-sq_default	unknown ❌	2.33507	3.30930
		Vampire	vampire-4.4-smtcomp-wrapped-sq_default	sat ✅	0.43909	0.34903
			vampire-4.3-smt_vampire_smtcomp	sat ✅	0.36911	0.23346
		veriT	veriT-wrapped-sq_default	unknown ❌	2400.02000	2399.82000
		Z3	z3-4.8.4-d6df51951f4c-wrapped-sq_default	sat ✅	1.75331	1.75300
SMT-COMP 2021	0.43 (4/7)	CVC4	CVC4-sq-final_default	sat ✅	480.44600	480.35000
		iProver	iProver-v3.5-final-fix2_iProver_SMT	sat ✅	1.27638	3.84354
		SMTInterpol	smtinterpol-2.5-823-g881e8631_default	unknown ❌	2.70185	7.75596
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	2.95660	4.70122
		Vampire	vampire_smt_4.6-fixed_vampire_smtcomp	sat ✅	0.14620	0.08402
			vampire_smt_4.5_vampire_smtcomp	sat ✅	0.12379	0.07325
		veriT	veriT_default	unknown ❌	909.98600	909.89900
		Z3	z3-4.8.11_default	sat ✅	1.72246	1.71987
SMT-COMP 2022	0.43 (4/7)	CVC4	CVC4-sq-final_default	sat ✅	480.40300	480.40200
		cvc5	cvc5-default-2022-07-02-b15e116-wrapped_sq	sat ✅	510.55700	510.51800
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.7-wrapped_default	unknown ❌	2.88532	4.69976
		Vampire	vampire_4.7_smt_fix-wrapped_vampire_smtcomp	sat ✅	0.14660	0.08816
		veriT	veriT_default	unknown ❌	1054.20000	1054.06000
		Yices2	Yices 2.6.2 for SMTCOMP 2021_default	unknown ❌	1200.02000	1199.93000
		Z3	z3-4.8.17_default	sat ✅	1.21136	1.21317
SMT-COMP 2023	0.50 (3/6)	cvc5	cvc5-default-2023-05-16-ea045f305_sq	sat ✅	510.67600	510.52700
			cvc5-default-2022-07-02-b15e116-wrapped_sq	sat ✅	511.05300	510.56000
		iProver	iProver-3.8-fix_iprover_SMT	sat ✅	339.39000	1338.58000
		SMTInterpol	smtinterpol-2.5-1272-g2d6d356c_default	unknown ❌	2.76885	7.98502
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.9_default	unknown ❌	2.98242	4.71716
		Vampire	vampire_4.8_smt_pre_vampire_smtcomp	sat ✅	0.15921	0.10477
		Yices2	Yices 2 for SMTCOMP 2023_default	unknown ❌	1200.01000	1199.86000
SMT-COMP 2025	0.60 (2/5)	cvc5	cvc5	sat ✅	540.39756	540.15929
		iProver	iProver v3.9.3	sat ✅	1.37608	3.94496
		SMTInterpol	SMTInterpol	unknown ❌	2.38489	6.49979
		UltimateEliminator	UltimateEliminator+MathSAT	unknown ❌	1.88247	4.06679
		Yices2	Yices2	unknown ❌	1201.41753	1201.07046