TSTP Solution File: ITP209_1 by Duper---1.0
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% File : Duper---1.0
% Problem : ITP209_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 03:39:19 EDT 2023
% Result : Theorem 3.79s 3.97s
% Output : Proof 3.79s
% 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 : ITP209_1 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 13:32:55 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.79/3.97 SZS status Theorem for theBenchmark.p
% 3.79/3.97 SZS output start Proof for theBenchmark.p
% 3.79/3.97 Clause #1 (by assumption #[]): Eq (∀ (A B : a), Eq (aa_a_a (aa_a_fun_a_a f A) B) (aa_a_a (aa_a_fun_a_a f B) A)) True
% 3.79/3.97 Clause #2 (by assumption #[]): Eq
% 3.79/3.97 (∀ (A B C : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f A) (aa_a_a (aa_a_fun_a_a f B) C))
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f B) (aa_a_a (aa_a_fun_a_a f A) C)))
% 3.79/3.97 True
% 3.79/3.97 Clause #12 (by assumption #[]): Eq
% 3.79/3.97 (Not
% 3.79/3.97 (Eq (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) b)) c)
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) c)) b)))
% 3.79/3.97 True
% 3.79/3.97 Clause #29 (by clausification #[1]): ∀ (a_1 : a), Eq (∀ (B : a), Eq (aa_a_a (aa_a_fun_a_a f a_1) B) (aa_a_a (aa_a_fun_a_a f B) a_1)) True
% 3.79/3.97 Clause #30 (by clausification #[29]): ∀ (a_1 a_2 : a), Eq (Eq (aa_a_a (aa_a_fun_a_a f a_1) a_2) (aa_a_a (aa_a_fun_a_a f a_2) a_1)) True
% 3.79/3.97 Clause #31 (by clausification #[30]): ∀ (a_1 a_2 : a), Eq (aa_a_a (aa_a_fun_a_a f a_1) a_2) (aa_a_a (aa_a_fun_a_a f a_2) a_1)
% 3.79/3.97 Clause #33 (by clausification #[2]): ∀ (a_1 : a),
% 3.79/3.97 Eq
% 3.79/3.97 (∀ (B C : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f a_1) (aa_a_a (aa_a_fun_a_a f B) C))
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f B) (aa_a_a (aa_a_fun_a_a f a_1) C)))
% 3.79/3.97 True
% 3.79/3.97 Clause #34 (by clausification #[33]): ∀ (a_1 a_2 : a),
% 3.79/3.97 Eq
% 3.79/3.97 (∀ (C : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f a_1) (aa_a_a (aa_a_fun_a_a f a_2) C))
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f a_2) (aa_a_a (aa_a_fun_a_a f a_1) C)))
% 3.79/3.97 True
% 3.79/3.97 Clause #35 (by clausification #[34]): ∀ (a_1 a_2 a_3 : a),
% 3.79/3.97 Eq
% 3.79/3.97 (Eq (aa_a_a (aa_a_fun_a_a f a_1) (aa_a_a (aa_a_fun_a_a f a_2) a_3))
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f a_2) (aa_a_a (aa_a_fun_a_a f a_1) a_3)))
% 3.79/3.97 True
% 3.79/3.97 Clause #36 (by clausification #[35]): ∀ (a_1 a_2 a_3 : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f a_1) (aa_a_a (aa_a_fun_a_a f a_2) a_3))
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f a_2) (aa_a_a (aa_a_fun_a_a f a_1) a_3))
% 3.79/3.97 Clause #38 (by superposition #[36, 31]): ∀ (a_1 a_2 a_3 : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a_1) a_2)) a_3)
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f a_1) (aa_a_a (aa_a_fun_a_a f a_3) a_2))
% 3.79/3.97 Clause #54 (by superposition #[38, 31]): ∀ (a_1 a_2 a_3 : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a_1) a_2)) a_3)
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f a_2) (aa_a_a (aa_a_fun_a_a f a_3) a_1))
% 3.79/3.97 Clause #59 (by superposition #[54, 38]): ∀ (a_1 a_2 a_3 : a),
% 3.79/3.97 Eq (aa_a_a (aa_a_fun_a_a f a_1) (aa_a_a (aa_a_fun_a_a f a_2) a_3))
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f a_3) (aa_a_a (aa_a_fun_a_a f a_2) a_1))
% 3.79/3.97 Clause #129 (by clausification #[12]): Eq
% 3.79/3.97 (Eq (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) b)) c)
% 3.79/3.97 (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) c)) b))
% 3.79/3.97 False
% 3.79/3.97 Clause #130 (by clausification #[129]): Ne (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) b)) c) (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) c)) b)
% 3.79/3.97 Clause #131 (by forward demodulation #[130, 31]): Ne (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f a2) b)) (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) c)) b)
% 3.79/3.97 Clause #132 (by forward demodulation #[131, 31]): Ne (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f b) a2)) (aa_a_a (aa_a_fun_a_a f (aa_a_a (aa_a_fun_a_a f a2) c)) b)
% 3.79/3.97 Clause #133 (by forward demodulation #[132, 31]): Ne (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f b) a2)) (aa_a_a (aa_a_fun_a_a f b) (aa_a_a (aa_a_fun_a_a f a2) c))
% 3.79/3.97 Clause #134 (by forward demodulation #[133, 59]): Ne (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f b) a2)) (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f a2) b))
% 3.79/3.97 Clause #135 (by forward demodulation #[134, 31]): Ne (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f b) a2)) (aa_a_a (aa_a_fun_a_a f c) (aa_a_a (aa_a_fun_a_a f b) a2))
% 3.79/3.97 Clause #136 (by eliminate resolved literals #[135]): False
% 3.79/3.97 SZS output end Proof for theBenchmark.p
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