TSTP Solution File: SEU823^2 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU823^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 16:44:04 EDT 2023
% Result : Theorem 3.87s 4.10s
% Output : Proof 3.97s
% 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 : SEU823^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 18:24:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.87/4.10 SZS status Theorem for theBenchmark.p
% 3.87/4.10 SZS output start Proof for theBenchmark.p
% 3.87/4.10 Clause #3 (by assumption #[]): Eq (Eq ordinalTransSet (∀ (X : Iota), ordinal X → ∀ (Xx A : Iota), in A X → in Xx A → in Xx X)) True
% 3.87/4.10 Clause #4 (by assumption #[]): Eq (Eq ordinalIrrefl (∀ (X : Iota), ordinal X → ∀ (A : Iota), in A X → Not (in A A))) True
% 3.87/4.10 Clause #5 (by assumption #[]): Eq (Not (ordinalTransSet → ordinalIrrefl → ∀ (X : Iota), ordinal X → ∀ (A : Iota), in X A → Not (in A X))) True
% 3.87/4.10 Clause #13 (by clausification #[5]): Eq (ordinalTransSet → ordinalIrrefl → ∀ (X : Iota), ordinal X → ∀ (A : Iota), in X A → Not (in A X)) False
% 3.87/4.10 Clause #14 (by clausification #[13]): Eq ordinalTransSet True
% 3.87/4.10 Clause #15 (by clausification #[13]): Eq (ordinalIrrefl → ∀ (X : Iota), ordinal X → ∀ (A : Iota), in X A → Not (in A X)) False
% 3.87/4.10 Clause #16 (by clausification #[15]): Eq ordinalIrrefl True
% 3.87/4.10 Clause #17 (by clausification #[15]): Eq (∀ (X : Iota), ordinal X → ∀ (A : Iota), in X A → Not (in A X)) False
% 3.87/4.10 Clause #20 (by clausification #[17]): ∀ (a : Iota), Eq (Not (ordinal (skS.0 0 a) → ∀ (A : Iota), in (skS.0 0 a) A → Not (in A (skS.0 0 a)))) True
% 3.87/4.10 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (ordinal (skS.0 0 a) → ∀ (A : Iota), in (skS.0 0 a) A → Not (in A (skS.0 0 a))) False
% 3.87/4.10 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (ordinal (skS.0 0 a)) True
% 3.87/4.10 Clause #23 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (A : Iota), in (skS.0 0 a) A → Not (in A (skS.0 0 a))) False
% 3.87/4.10 Clause #27 (by clausification #[4]): Eq ordinalIrrefl (∀ (X : Iota), ordinal X → ∀ (A : Iota), in A X → Not (in A A))
% 3.87/4.10 Clause #28 (by forward demodulation #[27, 16]): Eq True (∀ (X : Iota), ordinal X → ∀ (A : Iota), in A X → Not (in A A))
% 3.87/4.10 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (ordinal a → ∀ (A : Iota), in A a → Not (in A A)) True
% 3.87/4.10 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (ordinal a) False) (Eq (∀ (A : Iota), in A a → Not (in A A)) True)
% 3.87/4.10 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Or (Eq (ordinal a) False) (Eq (in a_1 a → Not (in a_1 a_1)) True)
% 3.87/4.10 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (ordinal a) False) (Or (Eq (in a_1 a) False) (Eq (Not (in a_1 a_1)) True))
% 3.87/4.10 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (ordinal a) False) (Or (Eq (in a_1 a) False) (Eq (in a_1 a_1) False))
% 3.87/4.10 Clause #34 (by superposition #[33, 22]): ∀ (a a_1 : Iota), Or (Eq (in a (skS.0 0 a_1)) False) (Or (Eq (in a a) False) (Eq False True))
% 3.87/4.10 Clause #35 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 0 a) (skS.0 1 a a_1) → Not (in (skS.0 1 a a_1) (skS.0 0 a)))) True
% 3.87/4.10 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (in (skS.0 0 a) (skS.0 1 a a_1) → Not (in (skS.0 1 a a_1) (skS.0 0 a))) False
% 3.87/4.10 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (in (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.87/4.10 Clause #38 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 1 a a_1) (skS.0 0 a))) False
% 3.87/4.10 Clause #39 (by clausification #[3]): Eq ordinalTransSet (∀ (X : Iota), ordinal X → ∀ (Xx A : Iota), in A X → in Xx A → in Xx X)
% 3.87/4.10 Clause #40 (by forward demodulation #[39, 14]): Eq True (∀ (X : Iota), ordinal X → ∀ (Xx A : Iota), in A X → in Xx A → in Xx X)
% 3.87/4.10 Clause #41 (by clausification #[40]): ∀ (a : Iota), Eq (ordinal a → ∀ (Xx A : Iota), in A a → in Xx A → in Xx a) True
% 3.87/4.10 Clause #42 (by clausification #[41]): ∀ (a : Iota), Or (Eq (ordinal a) False) (Eq (∀ (Xx A : Iota), in A a → in Xx A → in Xx a) True)
% 3.87/4.10 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (ordinal a) False) (Eq (∀ (A : Iota), in A a → in a_1 A → in a_1 a) True)
% 3.87/4.10 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Or (Eq (ordinal a) False) (Eq (in a_1 a → in a_2 a_1 → in a_2 a) True)
% 3.87/4.10 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (ordinal a) False) (Or (Eq (in a_1 a) False) (Eq (in a_2 a_1 → in a_2 a) True))
% 3.87/4.10 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 3.97/4.11 Or (Eq (ordinal a) False) (Or (Eq (in a_1 a) False) (Or (Eq (in a_2 a_1) False) (Eq (in a_2 a) True)))
% 3.97/4.11 Clause #47 (by superposition #[46, 22]): ∀ (a a_1 a_2 : Iota),
% 3.97/4.11 Or (Eq (in a (skS.0 0 a_1)) False) (Or (Eq (in a_2 a) False) (Or (Eq (in a_2 (skS.0 0 a_1)) True) (Eq False True)))
% 3.97/4.11 Clause #50 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (in a (skS.0 0 a_1)) False) (Eq (in a a) False)
% 3.97/4.11 Clause #56 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (in (skS.0 1 a a_1) (skS.0 0 a)) True
% 3.97/4.11 Clause #79 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 0 a_1)) False) (Or (Eq (in a_2 a) False) (Eq (in a_2 (skS.0 0 a_1)) True))
% 3.97/4.11 Clause #80 (by superposition #[79, 56]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 1 a_1 a_2)) False) (Or (Eq (in a (skS.0 0 a_1)) True) (Eq False True))
% 3.97/4.11 Clause #83 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 1 a_1 a_2)) False) (Eq (in a (skS.0 0 a_1)) True)
% 3.97/4.11 Clause #84 (by superposition #[83, 37]): ∀ (a : Iota), Or (Eq (in (skS.0 0 a) (skS.0 0 a)) True) (Eq False True)
% 3.97/4.11 Clause #87 (by clausification #[84]): ∀ (a : Iota), Eq (in (skS.0 0 a) (skS.0 0 a)) True
% 3.97/4.11 Clause #88 (by superposition #[87, 50]): Or (Eq True False) (Eq True False)
% 3.97/4.11 Clause #90 (by clausification #[88]): Eq True False
% 3.97/4.11 Clause #91 (by clausification #[90]): False
% 3.97/4.11 SZS output end Proof for theBenchmark.p
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