TSTP Solution File: SEU143+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 16:40:24 EDT 2023
% Result : Theorem 3.37s 3.63s
% Output : Proof 3.37s
% 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 : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 23:05:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.37/3.63 SZS status Theorem for theBenchmark.p
% 3.37/3.63 SZS output start Proof for theBenchmark.p
% 3.37/3.63 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq B (singleton A)) (∀ (C : Iota), Iff (in C B) (Eq C A))) True
% 3.37/3.63 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Iff (Eq A empty_set) (∀ (B : Iota), Not (in B A))) True
% 3.37/3.63 Clause #5 (by assumption #[]): Eq (Not (∀ (A : Iota), Ne (singleton A) empty_set)) True
% 3.37/3.63 Clause #16 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq B (singleton a)) (∀ (C : Iota), Iff (in C B) (Eq C a))) True
% 3.37/3.63 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Iff (Eq a (singleton a_1)) (∀ (C : Iota), Iff (in C a) (Eq C a_1))) True
% 3.37/3.63 Clause #19 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (Eq a (singleton a_1)) False) (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True)
% 3.37/3.63 Clause #26 (by clausification #[5]): Eq (∀ (A : Iota), Ne (singleton A) empty_set) False
% 3.37/3.63 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (Not (Ne (singleton (skS.0 3 a)) empty_set)) True
% 3.37/3.63 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Ne (singleton (skS.0 3 a)) empty_set) False
% 3.37/3.63 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (singleton (skS.0 3 a)) empty_set
% 3.37/3.63 Clause #30 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (Eq a empty_set) (∀ (B : Iota), Not (in B a))) True
% 3.37/3.63 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (Eq a empty_set) False) (Eq (∀ (B : Iota), Not (in B a)) True)
% 3.37/3.63 Clause #40 (by clausification #[32]): ∀ (a : Iota), Or (Eq (∀ (B : Iota), Not (in B a)) True) (Ne a empty_set)
% 3.37/3.63 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Ne a empty_set) (Eq (Not (in a_1 a)) True)
% 3.37/3.63 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Or (Ne a empty_set) (Eq (in a_1 a) False)
% 3.37/3.63 Clause #43 (by destructive equality resolution #[42]): ∀ (a : Iota), Eq (in a empty_set) False
% 3.37/3.63 Clause #47 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True) (Ne a (singleton a_1))
% 3.37/3.63 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Eq (Iff (in a_2 a) (Eq a_2 a_1)) True)
% 3.37/3.63 Clause #49 (by clausification #[48]): ∀ (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))
% 3.37/3.63 Clause #51 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) True) (Ne a_2 a_1))
% 3.37/3.63 Clause #52 (by destructive equality resolution #[51]): ∀ (a a_1 : Iota), Or (Eq (in a (singleton a_1)) True) (Ne a a_1)
% 3.37/3.63 Clause #53 (by destructive equality resolution #[52]): ∀ (a : Iota), Eq (in a (singleton a)) True
% 3.37/3.63 Clause #55 (by superposition #[53, 29]): ∀ (a : Iota), Eq (in (skS.0 3 a) empty_set) True
% 3.37/3.63 Clause #58 (by superposition #[55, 43]): Eq True False
% 3.37/3.63 Clause #61 (by clausification #[58]): False
% 3.37/3.63 SZS output end Proof for theBenchmark.p
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