0.02/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : duper %s
0.09/0.30	% Computer : n009.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1440
0.09/0.30	% WCLimit    : 180
0.09/0.30	% DateTime   : Mon Jul  3 08:01:41 EDT 2023
0.09/0.30	% CPUTime    : 
70.40/71.05	SZS status Theorem for theBenchmark.p
70.40/71.05	SZS output start Proof for theBenchmark.p
70.40/71.05	Clause #128 (by assumption #[]): Eq (Eq ys (append_a (coeffs_a g) (cons_a zero_zero_a nil_a))) True
70.40/71.05	Clause #141 (by assumption #[]): Eq (∀ (As : list_a), Eq (poly_a2 (append_a As (cons_a zero_zero_a nil_a))) (poly_a2 As)) True
70.40/71.05	Clause #190 (by assumption #[]): Eq
70.40/71.05	  (∀ (Xs : list_a) (P2 : poly_a),
70.40/71.05	    Eq (poly_a2 Xs) P2 → Eq (descar2095969287nges_a Xs) (descar2095969287nges_a (coeffs_a P2)))
70.40/71.05	  True
70.40/71.05	Clause #194 (by assumption #[]): Eq (Eq v fun F => descar2095969287nges_a (coeffs_a F)) True
70.40/71.05	Clause #212 (by assumption #[]): Eq (∀ (P2 : poly_a), Eq (poly_a2 (coeffs_a P2)) P2) True
70.40/71.05	Clause #238 (by assumption #[]): Eq (Not (Eq (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g)))) True
70.40/71.05	Clause #2741 (by clausification #[212]): ∀ (a : poly_a), Eq (Eq (poly_a2 (coeffs_a a)) a) True
70.40/71.05	Clause #2742 (by clausification #[2741]): ∀ (a : poly_a), Eq (poly_a2 (coeffs_a a)) a
70.40/71.05	Clause #4627 (by clausification #[194]): Eq v fun F => descar2095969287nges_a (coeffs_a F)
70.40/71.05	Clause #4628 (by argument congruence #[4627]): ∀ (a : poly_a), Eq (v a) ((fun F => descar2095969287nges_a (coeffs_a F)) a)
70.40/71.05	Clause #4670 (by betaEtaReduce #[4628]): ∀ (a : poly_a), Eq (v a) (descar2095969287nges_a (coeffs_a a))
70.40/71.05	Clause #5692 (by clausification #[238]): Eq (Eq (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g))) False
70.40/71.05	Clause #5693 (by clausification #[5692]): Ne (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g))
70.40/71.05	Clause #5694 (by forward demodulation #[5693, 4670]): Ne (descar2095969287nges_a ys) (v g)
70.40/71.05	Clause #10438 (by clausification #[128]): Eq ys (append_a (coeffs_a g) (cons_a zero_zero_a nil_a))
70.40/71.05	Clause #11355 (by clausification #[141]): ∀ (a : list_a), Eq (Eq (poly_a2 (append_a a (cons_a zero_zero_a nil_a))) (poly_a2 a)) True
70.40/71.05	Clause #11356 (by clausification #[11355]): ∀ (a : list_a), Eq (poly_a2 (append_a a (cons_a zero_zero_a nil_a))) (poly_a2 a)
70.40/71.05	Clause #11357 (by superposition #[11356, 10438]): Eq (poly_a2 ys) (poly_a2 (coeffs_a g))
70.40/71.05	Clause #11413 (by superposition #[11357, 2742]): Eq (poly_a2 ys) g
70.40/71.05	Clause #14015 (by clausification #[190]): ∀ (a : list_a),
70.40/71.05	  Eq (∀ (P2 : poly_a), Eq (poly_a2 a) P2 → Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a P2))) True
70.40/71.05	Clause #14016 (by clausification #[14015]): ∀ (a : list_a) (a_1 : poly_a),
70.40/71.05	  Eq (Eq (poly_a2 a) a_1 → Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) True
70.40/71.05	Clause #14017 (by clausification #[14016]): ∀ (a : list_a) (a_1 : poly_a),
70.40/71.05	  Or (Eq (Eq (poly_a2 a) a_1) False) (Eq (Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) True)
70.40/71.05	Clause #14018 (by clausification #[14017]): ∀ (a : list_a) (a_1 : poly_a),
70.40/71.05	  Or (Eq (Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1))) True) (Ne (poly_a2 a) a_1)
70.40/71.05	Clause #14019 (by clausification #[14018]): ∀ (a : list_a) (a_1 : poly_a),
70.40/71.05	  Or (Ne (poly_a2 a) a_1) (Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a a_1)))
70.40/71.05	Clause #14020 (by destructive equality resolution #[14019]): ∀ (a : list_a), Eq (descar2095969287nges_a a) (descar2095969287nges_a (coeffs_a (poly_a2 a)))
70.40/71.05	Clause #14024 (by superposition #[14020, 11413]): Eq (descar2095969287nges_a ys) (descar2095969287nges_a (coeffs_a g))
70.40/71.05	Clause #14075 (by superposition #[14024, 4670]): Eq (v g) (descar2095969287nges_a ys)
70.40/71.05	Clause #14123 (by forward contextual literal cutting #[14075, 5694]): False
70.40/71.05	SZS output end Proof for theBenchmark.p
70.47/71.06	EOF