TSTP Solution File: LCL763_5 by Duper---1.0
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% File : Duper---1.0
% Problem : LCL763_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 07:11:07 EDT 2023
% Result : Theorem 3.94s 4.14s
% Output : Proof 3.94s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL763_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n029.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 17:17:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.94/4.14 SZS status Theorem for theBenchmark.p
% 3.94/4.14 SZS output start Proof for theBenchmark.p
% 3.94/4.14 Clause #0 (by assumption #[]): Eq
% 3.94/4.14 (∀ (Ss1 : list dB) (S : dB) (M : nat),
% 3.94/4.14 Iff (Eq (var M) (foldl dB dB app S Ss1)) (And (Eq (var M) S) (Eq Ss1 (nil dB))))
% 3.94/4.14 True
% 3.94/4.14 Clause #7 (by assumption #[]): Eq (∀ (B A : Type) (A5 : A) (F : fun A (fun B A)), Eq (foldl A B F A5 (nil B)) A5) True
% 3.94/4.14 Clause #8 (by assumption #[]): Eq (∀ (Na : nat) (Rs : list dB), listsp dB it Rs → pp (aa dB bool it (foldl dB dB app (var Na) Rs))) True
% 3.94/4.14 Clause #13 (by assumption #[]): Eq (∀ (A : Type) (A1 : fun A bool), listsp A A1 (nil A)) True
% 3.94/4.14 Clause #104 (by assumption #[]): Eq (Not (pp (aa dB bool it (foldl dB dB app (var n) (nil dB))))) True
% 3.94/4.14 Clause #106 (by clausification #[13]): ∀ (a : Type), Eq (∀ (A1 : fun a bool), listsp a A1 (nil a)) True
% 3.94/4.14 Clause #107 (by clausification #[106]): ∀ (a : Type) (a_1 : fun a bool), Eq (listsp a a_1 (nil a)) True
% 3.94/4.14 Clause #111 (by clausification #[0]): ∀ (a : list dB),
% 3.94/4.14 Eq (∀ (S : dB) (M : nat), Iff (Eq (var M) (foldl dB dB app S a)) (And (Eq (var M) S) (Eq a (nil dB)))) True
% 3.94/4.14 Clause #112 (by clausification #[111]): ∀ (a : dB) (a_1 : list dB),
% 3.94/4.14 Eq (∀ (M : nat), Iff (Eq (var M) (foldl dB dB app a a_1)) (And (Eq (var M) a) (Eq a_1 (nil dB)))) True
% 3.94/4.14 Clause #113 (by clausification #[112]): ∀ (a : nat) (a_1 : dB) (a_2 : list dB),
% 3.94/4.14 Eq (Iff (Eq (var a) (foldl dB dB app a_1 a_2)) (And (Eq (var a) a_1) (Eq a_2 (nil dB)))) True
% 3.94/4.14 Clause #114 (by clausification #[113]): ∀ (a : nat) (a_1 : dB) (a_2 : list dB),
% 3.94/4.14 Or (Eq (Eq (var a) (foldl dB dB app a_1 a_2)) True) (Eq (And (Eq (var a) a_1) (Eq a_2 (nil dB))) False)
% 3.94/4.14 Clause #116 (by clausification #[114]): ∀ (a : nat) (a_1 : dB) (a_2 : list dB),
% 3.94/4.14 Or (Eq (And (Eq (var a) a_1) (Eq a_2 (nil dB))) False) (Eq (var a) (foldl dB dB app a_1 a_2))
% 3.94/4.14 Clause #117 (by clausification #[116]): ∀ (a : nat) (a_1 : dB) (a_2 : list dB),
% 3.94/4.14 Or (Eq (var a) (foldl dB dB app a_1 a_2)) (Or (Eq (Eq (var a) a_1) False) (Eq (Eq a_2 (nil dB)) False))
% 3.94/4.14 Clause #118 (by clausification #[117]): ∀ (a : nat) (a_1 : dB) (a_2 : list dB),
% 3.94/4.14 Or (Eq (var a) (foldl dB dB app a_1 a_2)) (Or (Eq (Eq a_2 (nil dB)) False) (Ne (var a) a_1))
% 3.94/4.14 Clause #119 (by clausification #[118]): ∀ (a : nat) (a_1 : dB) (a_2 : list dB),
% 3.94/4.14 Or (Eq (var a) (foldl dB dB app a_1 a_2)) (Or (Ne (var a) a_1) (Ne a_2 (nil dB)))
% 3.94/4.14 Clause #120 (by destructive equality resolution #[119]): ∀ (a : nat) (a_1 : list dB), Or (Eq (var a) (foldl dB dB app (var a) a_1)) (Ne a_1 (nil dB))
% 3.94/4.14 Clause #121 (by destructive equality resolution #[120]): ∀ (a : nat), Eq (var a) (foldl dB dB app (var a) (nil dB))
% 3.94/4.14 Clause #323 (by clausification #[104]): Eq (pp (aa dB bool it (foldl dB dB app (var n) (nil dB)))) False
% 3.94/4.14 Clause #324 (by forward demodulation #[323, 121]): Eq (pp (aa dB bool it (var n))) False
% 3.94/4.14 Clause #325 (by clausification #[7]): ∀ (a : Type), Eq (∀ (A : Type) (A5 : A) (F : fun A (fun a A)), Eq (foldl A a F A5 (nil a)) A5) True
% 3.94/4.14 Clause #326 (by clausification #[325]): ∀ (a a_1 : Type), Eq (∀ (A5 : a) (F : fun a (fun a_1 a)), Eq (foldl a a_1 F A5 (nil a_1)) A5) True
% 3.94/4.14 Clause #327 (by clausification #[326]): ∀ (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
% 3.94/4.14 Clause #328 (by clausification #[327]): ∀ (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
% 3.94/4.14 Clause #329 (by clausification #[328]): ∀ (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
% 3.94/4.14 Clause #334 (by clausification #[8]): ∀ (a : nat), Eq (∀ (Rs : list dB), listsp dB it Rs → pp (aa dB bool it (foldl dB dB app (var a) Rs))) True
% 3.94/4.14 Clause #335 (by clausification #[334]): ∀ (a : list dB) (a_1 : nat), Eq (listsp dB it a → pp (aa dB bool it (foldl dB dB app (var a_1) a))) True
% 3.94/4.14 Clause #336 (by clausification #[335]): ∀ (a : list dB) (a_1 : nat), Or (Eq (listsp dB it a) False) (Eq (pp (aa dB bool it (foldl dB dB app (var a_1) a))) True)
% 3.94/4.14 Clause #337 (by superposition #[336, 107]): ∀ (a : nat), Or (Eq (pp (aa dB bool it (foldl dB dB app (var a) (nil dB)))) True) (Eq False True)
% 3.94/4.15 Clause #338 (by clausification #[337]): ∀ (a : nat), Eq (pp (aa dB bool it (foldl dB dB app (var a) (nil dB)))) True
% 3.94/4.15 Clause #339 (by forward demodulation #[338, 329]): ∀ (a : nat), Eq (pp (aa dB bool it (var a))) True
% 3.94/4.15 Clause #344 (by superposition #[339, 324]): Eq True False
% 3.94/4.15 Clause #346 (by clausification #[344]): False
% 3.94/4.15 SZS output end Proof for theBenchmark.p
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