TSTP Solution File: SEU230+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 16:40:56 EDT 2023
% Result : Theorem 3.95s 4.20s
% Output : Proof 3.95s
% 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 : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 12:13:25 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.95/4.20 SZS status Theorem for theBenchmark.p
% 3.95/4.20 SZS output start Proof for theBenchmark.p
% 3.95/4.20 Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (succ A) (set_union2 A (singleton A))) True
% 3.95/4.20 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq B (singleton A)) (∀ (C : Iota), Iff (in C B) (Eq C A))) True
% 3.95/4.20 Clause #7 (by assumption #[]): Eq (∀ (A B C : Iota), Iff (Eq C (set_union2 A B)) (∀ (D : Iota), Iff (in D C) (Or (in D A) (in D B)))) True
% 3.95/4.20 Clause #27 (by assumption #[]): Eq (Not (∀ (A : Iota), in A (succ A))) True
% 3.95/4.20 Clause #70 (by clausification #[27]): Eq (∀ (A : Iota), in A (succ A)) False
% 3.95/4.20 Clause #71 (by clausification #[70]): ∀ (a : Iota), Eq (Not (in (skS.0 2 a) (succ (skS.0 2 a)))) True
% 3.95/4.20 Clause #72 (by clausification #[71]): ∀ (a : Iota), Eq (in (skS.0 2 a) (succ (skS.0 2 a))) False
% 3.95/4.20 Clause #91 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (succ a) (set_union2 a (singleton a))) True
% 3.95/4.20 Clause #92 (by clausification #[91]): ∀ (a : Iota), Eq (succ a) (set_union2 a (singleton a))
% 3.95/4.20 Clause #103 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq B (singleton a)) (∀ (C : Iota), Iff (in C B) (Eq C a))) True
% 3.95/4.20 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Eq (Iff (Eq a (singleton a_1)) (∀ (C : Iota), Iff (in C a) (Eq C a_1))) True
% 3.95/4.20 Clause #106 (by clausification #[104]): ∀ (a a_1 : Iota), Or (Eq (Eq a (singleton a_1)) False) (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True)
% 3.95/4.20 Clause #124 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (B C : Iota), Iff (Eq C (set_union2 a B)) (∀ (D : Iota), Iff (in D C) (Or (in D a) (in D B)))) True
% 3.95/4.20 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota),
% 3.95/4.20 Eq (∀ (C : Iota), Iff (Eq C (set_union2 a a_1)) (∀ (D : Iota), Iff (in D C) (Or (in D a) (in D a_1)))) True
% 3.95/4.20 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 : Iota), Eq (Iff (Eq a (set_union2 a_1 a_2)) (∀ (D : Iota), Iff (in D a) (Or (in D a_1) (in D a_2)))) True
% 3.95/4.20 Clause #128 (by clausification #[126]): ∀ (a a_1 a_2 : Iota),
% 3.95/4.20 Or (Eq (Eq a (set_union2 a_1 a_2)) False) (Eq (∀ (D : Iota), Iff (in D a) (Or (in D a_1) (in D a_2))) True)
% 3.95/4.20 Clause #233 (by clausification #[106]): ∀ (a a_1 : Iota), Or (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True) (Ne a (singleton a_1))
% 3.95/4.20 Clause #234 (by clausification #[233]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Eq (Iff (in a_2 a) (Eq a_2 a_1)) True)
% 3.95/4.20 Clause #235 (by clausification #[234]): ∀ (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))
% 3.95/4.20 Clause #237 (by clausification #[235]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) True) (Ne a_2 a_1))
% 3.95/4.20 Clause #238 (by destructive equality resolution #[237]): ∀ (a a_1 : Iota), Or (Eq (in a (singleton a_1)) True) (Ne a a_1)
% 3.95/4.20 Clause #239 (by destructive equality resolution #[238]): ∀ (a : Iota), Eq (in a (singleton a)) True
% 3.95/4.20 Clause #269 (by clausification #[128]): ∀ (a a_1 a_2 : Iota), Or (Eq (∀ (D : Iota), Iff (in D a) (Or (in D a_1) (in D a_2))) True) (Ne a (set_union2 a_1 a_2))
% 3.95/4.20 Clause #270 (by clausification #[269]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne a (set_union2 a_1 a_2)) (Eq (Iff (in a_3 a) (Or (in a_3 a_1) (in a_3 a_2))) True)
% 3.95/4.20 Clause #271 (by clausification #[270]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.95/4.20 Or (Ne a (set_union2 a_1 a_2)) (Or (Eq (in a_3 a) True) (Eq (Or (in a_3 a_1) (in a_3 a_2)) False))
% 3.95/4.20 Clause #273 (by clausification #[271]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne a (set_union2 a_1 a_2)) (Or (Eq (in a_3 a) True) (Eq (in a_3 a_2) False))
% 3.95/4.20 Clause #275 (by destructive equality resolution #[273]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (set_union2 a_1 a_2)) True) (Eq (in a a_2) False)
% 3.95/4.20 Clause #277 (by superposition #[275, 239]): ∀ (a a_1 : Iota), Or (Eq (in a (set_union2 a_1 (singleton a))) True) (Eq False True)
% 3.95/4.20 Clause #280 (by clausification #[277]): ∀ (a a_1 : Iota), Eq (in a (set_union2 a_1 (singleton a))) True
% 3.95/4.20 Clause #285 (by superposition #[280, 92]): ∀ (a : Iota), Eq (in a (succ a)) True
% 3.95/4.20 Clause #289 (by superposition #[285, 72]): Eq True False
% 3.95/4.20 Clause #294 (by clausification #[289]): False
% 3.95/4.20 SZS output end Proof for theBenchmark.p
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