%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : LCL784_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n019.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 07:11:14 EDT 2023

% Result   : Theorem 9.83s 10.10s
% Output   : Proof 9.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.18  % Problem    : LCL784_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.19  % Command    : duper %s
% 0.13/0.38  % Computer : n019.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8042.1875MB
% 0.13/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38  % CPULimit   : 300
% 0.13/0.38  % WCLimit    : 300
% 0.13/0.38  % DateTime   : Fri Aug 25 05:16:58 EDT 2023
% 0.13/0.38  % CPUTime    : 
% 9.83/10.10  SZS status Theorem for theBenchmark.p
% 9.83/10.10  SZS output start Proof for theBenchmark.p
% 9.83/10.10  Clause #2 (by assumption #[]): Eq (Eq rs (nil dB)) True
% 9.83/10.10  Clause #3 (by assumption #[]): Eq (pp (aa dB bool it u)) True
% 9.83/10.10  Clause #4 (by assumption #[]): Eq (Eq n i) True
% 9.83/10.10  Clause #14 (by assumption #[]): Eq (∀ (U1 : dB) (K : nat), Eq (subst (var K) U1 K) U1) True
% 9.83/10.10  Clause #27 (by assumption #[]): Eq (∀ (B A : Type) (A3 : A) (F : fun A (fun B A)), Eq (foldl A B F A3 (nil B)) A3) True
% 9.83/10.10  Clause #107 (by assumption #[]): Eq (Not (pp (aa dB bool it (subst (foldl dB dB app (var n) rs) u i)))) True
% 9.83/10.10  Clause #109 (by clausification #[4]): Eq n i
% 9.83/10.10  Clause #110 (by clausification #[2]): Eq rs (nil dB)
% 9.83/10.10  Clause #223 (by clausification #[14]): ∀ (a : dB), Eq (∀ (K : nat), Eq (subst (var K) a K) a) True
% 9.83/10.10  Clause #224 (by clausification #[223]): ∀ (a : nat) (a_1 : dB), Eq (Eq (subst (var a) a_1 a) a_1) True
% 9.83/10.10  Clause #225 (by clausification #[224]): ∀ (a : nat) (a_1 : dB), Eq (subst (var a) a_1 a) a_1
% 9.83/10.10  Clause #539 (by clausification #[27]): ∀ (a : Type), Eq (∀ (A : Type) (A3 : A) (F : fun A (fun a A)), Eq (foldl A a F A3 (nil a)) A3) True
% 9.83/10.10  Clause #540 (by clausification #[539]): ∀ (a a_1 : Type), Eq (∀ (A3 : a) (F : fun a (fun a_1 a)), Eq (foldl a a_1 F A3 (nil a_1)) A3) True
% 9.83/10.10  Clause #541 (by clausification #[540]): ∀ (a a_1 : Type) (a_2 : a), Eq (∀ (F : fun a (fun a_1 a)), Eq (foldl a a_1 F a_2 (nil a_1)) a_2) True
% 9.83/10.10  Clause #542 (by clausification #[541]): ∀ (a a_1 : Type) (a_2 : fun a (fun a_1 a)) (a_3 : a), Eq (Eq (foldl a a_1 a_2 a_3 (nil a_1)) a_3) True
% 9.83/10.10  Clause #543 (by clausification #[542]): ∀ (a a_1 : Type) (a_2 : fun a (fun a_1 a)) (a_3 : a), Eq (foldl a a_1 a_2 a_3 (nil a_1)) a_3
% 9.83/10.10  Clause #544 (by superposition #[543, 110]): ∀ (a : Type) (a_1 : fun a (fun dB a)) (a_2 : a), Eq (foldl a dB a_1 a_2 rs) a_2
% 9.83/10.10  Clause #936 (by clausification #[107]): Eq (pp (aa dB bool it (subst (foldl dB dB app (var n) rs) u i))) False
% 9.83/10.10  Clause #937 (by forward demodulation #[936, 109]): Eq (pp (aa dB bool it (subst (foldl dB dB app (var n) rs) u n))) False
% 9.83/10.10  Clause #938 (by forward demodulation #[937, 544]): Eq (pp (aa dB bool it (subst (var n) u n))) False
% 9.83/10.10  Clause #939 (by forward demodulation #[938, 225]): Eq (pp (aa dB bool it u)) False
% 9.83/10.10  Clause #940 (by superposition #[939, 3]): Eq False True
% 9.83/10.10  Clause #941 (by clausification #[940]): False
% 9.83/10.10  SZS output end Proof for theBenchmark.p
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