TSTP Solution File: SEU563^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU563^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n010.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 16:42:43 EDT 2023
% Result : Theorem 3.47s 3.76s
% Output : Proof 3.47s
% 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 : SEU563^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n010.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 20:00:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.47/3.76 SZS status Theorem for theBenchmark.p
% 3.47/3.76 SZS output start Proof for theBenchmark.p
% 3.47/3.76 Clause #0 (by assumption #[]): Eq (Eq emptysetimpfalse (∀ (Xx : Iota), in Xx emptyset → False)) True
% 3.47/3.76 Clause #2 (by assumption #[]): Eq (Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)) True
% 3.47/3.76 Clause #3 (by assumption #[]): Eq (Not (emptysetimpfalse → subsetI2 → ∀ (A : Iota), subset emptyset A)) True
% 3.47/3.76 Clause #4 (by clausification #[0]): Eq emptysetimpfalse (∀ (Xx : Iota), in Xx emptyset → False)
% 3.47/3.76 Clause #18 (by clausification #[3]): Eq (emptysetimpfalse → subsetI2 → ∀ (A : Iota), subset emptyset A) False
% 3.47/3.76 Clause #19 (by clausification #[18]): Eq emptysetimpfalse True
% 3.47/3.76 Clause #20 (by clausification #[18]): Eq (subsetI2 → ∀ (A : Iota), subset emptyset A) False
% 3.47/3.76 Clause #21 (by backward demodulation #[19, 4]): Eq True (∀ (Xx : Iota), in Xx emptyset → False)
% 3.47/3.76 Clause #24 (by clausification #[21]): ∀ (a : Iota), Eq (in a emptyset → False) True
% 3.47/3.76 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (in a emptyset) False) (Eq False True)
% 3.47/3.76 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (in a emptyset) False
% 3.47/3.76 Clause #27 (by clausification #[20]): Eq subsetI2 True
% 3.47/3.76 Clause #28 (by clausification #[20]): Eq (∀ (A : Iota), subset emptyset A) False
% 3.47/3.76 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (Not (subset emptyset (skS.0 1 a))) True
% 3.47/3.76 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (subset emptyset (skS.0 1 a)) False
% 3.47/3.76 Clause #31 (by clausification #[2]): Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)
% 3.47/3.76 Clause #32 (by forward demodulation #[31, 27]): Eq True (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)
% 3.47/3.76 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx a → in Xx B) → subset a B) True
% 3.47/3.76 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → subset a a_1) True
% 3.47/3.76 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (subset a a_1) True)
% 3.47/3.76 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 3.47/3.76 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 2 a a_1 a_2) a → in (skS.0 2 a a_1 a_2) a_1)) True)
% 3.47/3.76 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 2 a a_1 a_2) a → in (skS.0 2 a a_1 a_2) a_1) False)
% 3.47/3.76 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 2 a a_1 a_2) a) True)
% 3.47/3.76 Clause #40 (by superposition #[38, 26]): ∀ (a : Iota), Or (Eq (subset emptyset a) True) (Eq True False)
% 3.47/3.76 Clause #41 (by clausification #[40]): ∀ (a : Iota), Eq (subset emptyset a) True
% 3.47/3.76 Clause #42 (by superposition #[41, 30]): Eq True False
% 3.47/3.76 Clause #43 (by clausification #[42]): False
% 3.47/3.76 SZS output end Proof for theBenchmark.p
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