%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL805_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:41 AM UTC 2026 % Result : Theorem 20.06s 20.36s % Output : Proof 20.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL805_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.04 % Command : duper %s % 0.08/0.36 % Computer : n026.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 12:52:40 UTC 2026 % 0.08/0.36 % CPUTime : % 20.06/20.36 SZS status Theorem for theBenchmark.p % 20.06/20.36 SZS output start Proof for theBenchmark.p % 20.06/20.36 Clause #6 (by assumption #[]): Eq (∀ (A : Type) (A3 : fun A bool), listsp A A3 (nil A)) True % 20.06/20.36 Clause #7 (by assumption #[]): Eq (∀ (A B : Type) (Xs : list B) (F : fun B A), Iff (Eq (nil A) (map B A F Xs)) (Eq Xs (nil B))) True % 20.06/20.36 Clause #111 (by assumption #[]): Eq % 20.06/20.36 (Not % 20.06/20.36 (listsp dB it % 20.06/20.36 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 20.06/20.36 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (nil dB))))) % 20.06/20.36 True % 20.06/20.36 Clause #115 (by clausification #[6]): ∀ (a : Type), Eq (∀ (A3 : fun a bool), listsp a A3 (nil a)) True % 20.06/20.36 Clause #116 (by clausification #[115]): ∀ (a : Type) (a_1 : fun a bool), Eq (listsp a a_1 (nil a)) True % 20.06/20.36 Clause #157 (by clausification #[7]): ∀ (a : Type), Eq (∀ (B : Type) (Xs : list B) (F : fun B a), Iff (Eq (nil a) (map B a F Xs)) (Eq Xs (nil B))) True % 20.06/20.36 Clause #158 (by clausification #[157]): ∀ (a a_1 : Type), Eq (∀ (Xs : list a) (F : fun a a_1), Iff (Eq (nil a_1) (map a a_1 F Xs)) (Eq Xs (nil a))) True % 20.06/20.36 Clause #159 (by clausification #[158]): ∀ (a a_1 : Type) (a_2 : list a), Eq (∀ (F : fun a a_1), Iff (Eq (nil a_1) (map a a_1 F a_2)) (Eq a_2 (nil a))) True % 20.06/20.36 Clause #160 (by clausification #[159]): ∀ (a a_1 : Type) (a_2 : fun a_1 a) (a_3 : list a_1), Eq (Iff (Eq (nil a) (map a_1 a a_2 a_3)) (Eq a_3 (nil a_1))) True % 20.06/20.36 Clause #161 (by clausification #[160]): ∀ (a a_1 : Type) (a_2 : fun a_1 a) (a_3 : list a_1), % 20.06/20.36 Or (Eq (Eq (nil a) (map a_1 a a_2 a_3)) True) (Eq (Eq a_3 (nil a_1)) False) % 20.06/20.36 Clause #163 (by clausification #[161]): ∀ (a : Type) (a_1 : list a) (a_2 : Type) (a_3 : fun a a_2), % 20.06/20.36 Or (Eq (Eq a_1 (nil a)) False) (Eq (nil a_2) (map a a_2 a_3 a_1)) % 20.06/20.36 Clause #164 (by clausification #[163]): ∀ (a a_1 : Type) (a_2 : fun a_1 a) (a_3 : list a_1), Or (Eq (nil a) (map a_1 a a_2 a_3)) (Ne a_3 (nil a_1)) % 20.06/20.36 Clause #165 (by destructive equality resolution #[164]): ∀ (a a_1 : Type) (a_2 : fun a_1 a), Eq (nil a) (map a_1 a a_2 (nil a_1)) % 20.06/20.36 Clause #2675 (by clausification #[111]): Eq % 20.06/20.36 (listsp dB it % 20.06/20.36 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 20.06/20.36 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (nil dB)))) % 20.06/20.36 False % 20.06/20.36 Clause #2676 (by forward demodulation #[2675, 165]): Eq (listsp dB it (map dB dB (combc dB nat dB lift (zero_zero nat)) (nil dB))) False % 20.06/20.36 Clause #2677 (by forward demodulation #[2676, 165]): Eq (listsp dB it (nil dB)) False % 20.06/20.36 Clause #2678 (by superposition #[2677, 116]): Eq False True % 20.06/20.36 Clause #2679 (by clausification #[2678]): False % 20.06/20.36 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------