TSTP Solution File: SWV447^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWV447^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 21:59:20 EDT 2023
% Result : Theorem 16.39s 16.65s
% Output : Proof 16.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV447^1 : TPTP v8.1.2. Released v3.7.0.
% 0.10/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n004.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 : Tue Aug 29 03:29:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 16.39/16.65 SZS status Theorem for theBenchmark.p
% 16.39/16.65 SZS output start Proof for theBenchmark.p
% 16.39/16.65 Clause #0 (by assumption #[]): Eq (∀ (F : Iota → Iota), Eq (map F nil) nil) True
% 16.39/16.65 Clause #1 (by assumption #[]): Eq (∀ (F : Iota → Iota) (X Y : Iota), Eq (map F (cons X Y)) (cons (F X) (map F Y))) True
% 16.39/16.65 Clause #2 (by assumption #[]): Eq (Not (∀ (A : Iota), Eq (map (fun X => X) (cons A nil)) (cons A nil))) True
% 16.39/16.65 Clause #3 (by clausification #[0]): ∀ (a : Iota → Iota), Eq (Eq (map a nil) nil) True
% 16.39/16.65 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota), Eq (map a nil) nil
% 16.39/16.65 Clause #5 (by clausification #[2]): Eq (∀ (A : Iota), Eq (map (fun X => X) (cons A nil)) (cons A nil)) False
% 16.39/16.65 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not (Eq (map (fun X => X) (cons (skS.0 0 a) nil)) (cons (skS.0 0 a) nil))) True
% 16.39/16.65 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (Eq (map (fun X => X) (cons (skS.0 0 a) nil)) (cons (skS.0 0 a) nil)) False
% 16.39/16.65 Clause #8 (by clausification #[7]): ∀ (a : Iota), Ne (map (fun X => X) (cons (skS.0 0 a) nil)) (cons (skS.0 0 a) nil)
% 16.39/16.65 Clause #9 (by clausification #[1]): ∀ (a : Iota → Iota), Eq (∀ (X Y : Iota), Eq (map a (cons X Y)) (cons (a X) (map a Y))) True
% 16.39/16.65 Clause #10 (by clausification #[9]): ∀ (a : Iota → Iota) (a_1 : Iota), Eq (∀ (Y : Iota), Eq (map a (cons a_1 Y)) (cons (a a_1) (map a Y))) True
% 16.39/16.65 Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (Eq (map a (cons a_1 a_2)) (cons (a a_1) (map a a_2))) True
% 16.39/16.65 Clause #12 (by clausification #[11]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (map a (cons a_1 a_2)) (cons (a a_1) (map a a_2))
% 16.39/16.65 Clause #15 (by superposition #[12, 4]): ∀ (a : Iota → Iota) (a_1 : Iota), Eq (map a (cons a_1 nil)) (cons (a a_1) nil)
% 16.39/16.65 Clause #20 (by fluidSup #[12, 4]): ∀ (a a_1 : Iota → Iota) (a_2 : Iota) (a_3 : Iota → Iota),
% 16.39/16.65 Eq (map a (cons (a_1 nil) a_2)) (cons (a (a_1 (map a_3 nil))) (map a a_2))
% 16.39/16.65 Clause #2457 (by forward demodulation #[20, 4]): ∀ (a a_1 : Iota → Iota) (a_2 : Iota), Eq (map a (cons (a_1 nil) a_2)) (cons (a (a_1 nil)) (map a a_2))
% 16.39/16.65 Clause #2480 (by superposition #[2457, 2457]): ∀ (a : Iota) (a_1 : Iota → Iota) (a_2 : Iota) (a_3 : Iota → Iota),
% 16.39/16.65 Eq (map (fun x => a) (cons (a_1 nil) a_2)) (map (fun x => a) (cons (a_3 nil) a_2))
% 16.39/16.65 Clause #2701 (by superposition #[2480, 15]): ∀ (a : Iota) (a_1 : Iota → Iota), Eq (map (fun x => a) (cons (a_1 nil) nil)) (cons a nil)
% 16.39/16.65 Clause #2933 (by superposition #[2701, 12]): ∀ (a : Iota), Eq (cons a nil) (cons a (map (fun x => a) nil))
% 16.39/16.65 Clause #3227 (by superposition #[2933, 12]): ∀ (a a_1 : Iota), Eq (map (fun x => a) (cons a_1 nil)) (cons a nil)
% 16.39/16.65 Clause #3393 (by superposition #[3227, 2480]): ∀ (a : Iota) (a_1 : Iota → Iota), Eq (cons a nil) (map (fun x => a) (cons (a_1 nil) nil))
% 16.39/16.65 Clause #3404 (by superposition #[3227, 15]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (map a (cons a_1 nil)) (map (fun x => a a_1) (cons a_2 nil))
% 16.39/16.65 Clause #6166 (by superposition #[3404, 3393]): ∀ (a : Iota), Eq (cons a nil) (map (fun x => x) (cons a nil))
% 16.39/16.65 Clause #6477 (by backward contextual literal cutting #[6166, 8]): False
% 16.39/16.65 SZS output end Proof for theBenchmark.p
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