TSTP Solution File: SEU568^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU568^2 : 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 16:42:45 EDT 2023
% Result : Theorem 3.57s 3.81s
% Output : Proof 3.57s
% 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 : SEU568^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 17:30:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.57/3.81 SZS status Theorem for theBenchmark.p
% 3.57/3.81 SZS output start Proof for theBenchmark.p
% 3.57/3.81 Clause #2 (by assumption #[]): Eq (Not (notsubsetI → notequalI1 → ∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B)) True
% 3.57/3.81 Clause #24 (by clausification #[2]): Eq (notsubsetI → notequalI1 → ∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B) False
% 3.57/3.81 Clause #26 (by clausification #[24]): Eq (notequalI1 → ∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B) False
% 3.57/3.81 Clause #36 (by clausification #[26]): Eq (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B) False
% 3.57/3.81 Clause #46 (by clausification #[36]): ∀ (a : Iota), Eq (Not (∀ (B Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx B) → Ne (skS.0 2 a) B)) True
% 3.57/3.81 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx B) → Ne (skS.0 2 a) B) False
% 3.57/3.81 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 3.57/3.81 Eq (Not (∀ (Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1))) True
% 3.57/3.81 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 3.57/3.81 Eq (∀ (Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1)) False
% 3.57/3.81 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 3.57/3.81 Eq
% 3.57/3.81 (Not
% 3.57/3.81 (in (skS.0 4 a a_1 a_2) (skS.0 2 a) →
% 3.57/3.81 Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1)))
% 3.57/3.81 True
% 3.57/3.81 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 3.57/3.81 Eq
% 3.57/3.81 (in (skS.0 4 a a_1 a_2) (skS.0 2 a) → Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1))
% 3.57/3.81 False
% 3.57/3.81 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) True
% 3.57/3.81 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Eq (Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1)) False
% 3.57/3.81 Clause #74 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Eq (Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1))) True
% 3.57/3.81 Clause #75 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 2 a) (skS.0 3 a a_1)) False
% 3.57/3.81 Clause #76 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) False
% 3.57/3.81 Clause #77 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (skS.0 2 a) (skS.0 3 a a_1)
% 3.57/3.81 Clause #78 (by backward demodulation #[77, 76]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) False
% 3.57/3.81 Clause #79 (by superposition #[78, 52]): Eq False True
% 3.57/3.81 Clause #80 (by clausification #[79]): False
% 3.57/3.81 SZS output end Proof for theBenchmark.p
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