%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : LCL805_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:11:20 EDT 2023

% Result   : Theorem 19.61s 19.82s
% Output   : Proof 19.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL805_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 17:56:38 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 19.61/19.82  SZS status Theorem for theBenchmark.p
% 19.61/19.82  SZS output start Proof for theBenchmark.p
% 19.61/19.82  Clause #6 (by assumption #[]): Eq (∀ (A : Type) (A3 : fun A bool), listsp A A3 (nil A)) True
% 19.61/19.82  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
% 19.61/19.82  Clause #111 (by assumption #[]): Eq
% 19.61/19.82    (Not
% 19.61/19.82      (listsp dB it
% 19.61/19.82        (map dB dB (combc dB nat dB lift (zero_zero nat))
% 19.61/19.82          (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (nil dB)))))
% 19.61/19.82    True
% 19.61/19.82  Clause #115 (by clausification #[6]): ∀ (a : Type), Eq (∀ (A3 : fun a bool), listsp a A3 (nil a)) True
% 19.61/19.82  Clause #116 (by clausification #[115]): ∀ (a : Type) (a_1 : fun a bool), Eq (listsp a a_1 (nil a)) True
% 19.61/19.82  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
% 19.61/19.82  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
% 19.61/19.82  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
% 19.61/19.82  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
% 19.61/19.82  Clause #161 (by clausification #[160]): ∀ (a a_1 : Type) (a_2 : fun a_1 a) (a_3 : list a_1),
% 19.61/19.82    Or (Eq (Eq (nil a) (map a_1 a a_2 a_3)) True) (Eq (Eq a_3 (nil a_1)) False)
% 19.61/19.82  Clause #163 (by clausification #[161]): ∀ (a : Type) (a_1 : list a) (a_2 : Type) (a_3 : fun a a_2),
% 19.61/19.82    Or (Eq (Eq a_1 (nil a)) False) (Eq (nil a_2) (map a a_2 a_3 a_1))
% 19.61/19.82  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))
% 19.61/19.82  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))
% 19.61/19.82  Clause #2675 (by clausification #[111]): Eq
% 19.61/19.82    (listsp dB it
% 19.61/19.82      (map dB dB (combc dB nat dB lift (zero_zero nat))
% 19.61/19.82        (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) (nil dB))))
% 19.61/19.82    False
% 19.61/19.82  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
% 19.61/19.82  Clause #2677 (by forward demodulation #[2676, 165]): Eq (listsp dB it (nil dB)) False
% 19.61/19.82  Clause #2678 (by superposition #[2677, 116]): Eq False True
% 19.61/19.82  Clause #2679 (by clausification #[2678]): False
% 19.61/19.82  SZS output end Proof for theBenchmark.p
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