TSTP Solution File: SEU148+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 16:40:26 EDT 2023
% Result : Theorem 5.06s 5.32s
% Output : Proof 5.06s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n003.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 16:40:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.06/5.32 SZS status Theorem for theBenchmark.p
% 5.06/5.32 SZS output start Proof for theBenchmark.p
% 5.06/5.32 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq B (singleton A)) (∀ (C : Iota), Iff (in C B) (Eq C A))) True
% 5.06/5.32 Clause #3 (by assumption #[]): Eq (∀ (A : Iota), Ne (singleton A) empty_set) True
% 5.06/5.32 Clause #4 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A (singleton B)) (Or (Eq A empty_set) (Eq A (singleton B)))) True
% 5.06/5.32 Clause #8 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset (singleton A) (singleton B) → Eq A B)) True
% 5.06/5.32 Clause #15 (by clausification #[3]): ∀ (a : Iota), Eq (Ne (singleton a) empty_set) True
% 5.06/5.32 Clause #16 (by clausification #[15]): ∀ (a : Iota), Ne (singleton a) empty_set
% 5.06/5.32 Clause #21 (by clausification #[8]): Eq (∀ (A B : Iota), subset (singleton A) (singleton B) → Eq A B) False
% 5.06/5.32 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (singleton (skS.0 2 a)) (singleton B) → Eq (skS.0 2 a) B)) True
% 5.06/5.32 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (singleton (skS.0 2 a)) (singleton B) → Eq (skS.0 2 a) B) False
% 5.06/5.32 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota),
% 5.06/5.32 Eq (Not (subset (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1)) → Eq (skS.0 2 a) (skS.0 3 a a_1))) True
% 5.06/5.32 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (subset (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1)) → Eq (skS.0 2 a) (skS.0 3 a a_1)) False
% 5.06/5.32 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (subset (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))) True
% 5.06/5.32 Clause #27 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 2 a) (skS.0 3 a a_1)) False
% 5.06/5.32 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Ne (skS.0 2 a) (skS.0 3 a a_1)
% 5.06/5.32 Clause #29 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq B (singleton a)) (∀ (C : Iota), Iff (in C B) (Eq C a))) True
% 5.06/5.32 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (Iff (Eq a (singleton a_1)) (∀ (C : Iota), Iff (in C a) (Eq C a_1))) True
% 5.06/5.32 Clause #32 (by clausification #[30]): ∀ (a a_1 : Iota), Or (Eq (Eq a (singleton a_1)) False) (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True)
% 5.06/5.32 Clause #39 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True) (Ne a (singleton a_1))
% 5.06/5.32 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Eq (Iff (in a_2 a) (Eq a_2 a_1)) True)
% 5.06/5.32 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) True) (Eq (Eq a_2 a_1) False))
% 5.06/5.32 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) False) (Eq (Eq a_2 a_1) True))
% 5.06/5.32 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) True) (Ne a_2 a_1))
% 5.06/5.32 Clause #44 (by destructive equality resolution #[43]): ∀ (a a_1 : Iota), Or (Eq (in a (singleton a_1)) True) (Ne a a_1)
% 5.06/5.32 Clause #45 (by destructive equality resolution #[44]): ∀ (a : Iota), Eq (in a (singleton a)) True
% 5.06/5.32 Clause #48 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a (singleton B)) (Or (Eq a empty_set) (Eq a (singleton B)))) True
% 5.06/5.32 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (Iff (subset a (singleton a_1)) (Or (Eq a empty_set) (Eq a (singleton a_1)))) True
% 5.06/5.32 Clause #51 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) False) (Eq (Or (Eq a empty_set) (Eq a (singleton a_1))) True)
% 5.06/5.32 Clause #58 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) False) (Eq a_2 a_1))
% 5.06/5.32 Clause #59 (by destructive equality resolution #[58]): ∀ (a a_1 : Iota), Or (Eq (in a (singleton a_1)) False) (Eq a a_1)
% 5.06/5.32 Clause #62 (by clausification #[51]): ∀ (a a_1 : Iota),
% 5.06/5.32 Or (Eq (subset a (singleton a_1)) False) (Or (Eq (Eq a empty_set) True) (Eq (Eq a (singleton a_1)) True))
% 5.06/5.32 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) False) (Or (Eq (Eq a (singleton a_1)) True) (Eq a empty_set))
% 5.06/5.33 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) False) (Or (Eq a empty_set) (Eq a (singleton a_1)))
% 5.06/5.33 Clause #65 (by superposition #[64, 26]): ∀ (a a_1 : Iota),
% 5.06/5.33 Or (Eq (singleton (skS.0 2 a)) empty_set)
% 5.06/5.33 (Or (Eq (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))) (Eq False True))
% 5.06/5.33 Clause #89 (by clausification #[65]): ∀ (a a_1 : Iota), Or (Eq (singleton (skS.0 2 a)) empty_set) (Eq (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1)))
% 5.06/5.33 Clause #90 (by forward contextual literal cutting #[89, 16]): ∀ (a a_1 : Iota), Eq (singleton (skS.0 2 a)) (singleton (skS.0 3 a a_1))
% 5.06/5.33 Clause #93 (by superposition #[90, 45]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (singleton (skS.0 2 a))) True
% 5.06/5.33 Clause #104 (by superposition #[93, 59]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (skS.0 3 a a_1) (skS.0 2 a))
% 5.06/5.33 Clause #108 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (skS.0 3 a a_1) (skS.0 2 a)
% 5.06/5.33 Clause #109 (by forward contextual literal cutting #[108, 28]): False
% 5.06/5.33 SZS output end Proof for theBenchmark.p
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