TSTP Solution File: SEU124+2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 16:40:18 EDT 2023
% Result : Theorem 68.00s 68.33s
% Output : Proof 68.23s
% 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 : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n012.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 23:47:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 68.00/68.33 SZS status Theorem for theBenchmark.p
% 68.00/68.33 SZS output start Proof for theBenchmark.p
% 68.00/68.33 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_union2 A B) (set_union2 B A)) True
% 68.00/68.33 Clause #5 (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
% 68.00/68.33 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True
% 68.00/68.33 Clause #27 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset A (set_union2 A B))) True
% 68.00/68.33 Clause #52 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_union2 a B) (set_union2 B a)) True
% 68.00/68.33 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 a a_1) (set_union2 a_1 a)) True
% 68.00/68.33 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (set_union2 a a_1) (set_union2 a_1 a)
% 68.00/68.33 Clause #78 (by clausification #[27]): Eq (∀ (A B : Iota), subset A (set_union2 A B)) False
% 68.00/68.33 Clause #79 (by clausification #[78]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (skS.0 2 a) (set_union2 (skS.0 2 a) B))) True
% 68.00/68.33 Clause #80 (by clausification #[79]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (skS.0 2 a) (set_union2 (skS.0 2 a) B)) False
% 68.00/68.33 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Not (subset (skS.0 2 a) (set_union2 (skS.0 2 a) (skS.0 3 a a_1)))) True
% 68.00/68.33 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (set_union2 (skS.0 2 a) (skS.0 3 a a_1))) False
% 68.00/68.33 Clause #125 (by clausification #[5]): ∀ (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
% 68.00/68.33 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota),
% 68.00/68.33 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
% 68.00/68.33 Clause #127 (by clausification #[126]): ∀ (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
% 68.00/68.33 Clause #129 (by clausification #[127]): ∀ (a a_1 a_2 : Iota),
% 68.00/68.33 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)
% 68.00/68.33 Clause #142 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True
% 68.00/68.33 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True
% 68.00/68.33 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False)
% 68.00/68.33 Clause #146 (by clausification #[144]): ∀ (a a_1 a_2 : Iota),
% 68.00/68.33 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 6 a a_1 a_2) a → in (skS.0 6 a a_1 a_2) a_1)) True)
% 68.00/68.33 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 6 a a_1 a_2) a → in (skS.0 6 a a_1 a_2) a_1) False)
% 68.00/68.33 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 6 a a_1 a_2) a) True)
% 68.00/68.33 Clause #149 (by clausification #[147]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 6 a a_1 a_2) a_1) False)
% 68.00/68.33 Clause #369 (by clausification #[129]): ∀ (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))
% 68.00/68.33 Clause #370 (by clausification #[369]): ∀ (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)
% 68.00/68.33 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 a_3 : Iota),
% 68.00/68.33 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))
% 68.00/68.33 Clause #373 (by clausification #[371]): ∀ (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))
% 68.00/68.33 Clause #375 (by destructive equality resolution #[373]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (set_union2 a_1 a_2)) True) (Eq (in a a_2) False)
% 68.00/68.33 Clause #378 (by superposition #[375, 148]): ∀ (a a_1 a_2 a_3 : Iota),
% 68.00/68.33 Or (Eq (in (skS.0 6 a a_1 a_2) (set_union2 a_3 a)) True) (Or (Eq (subset a a_1) True) (Eq False True))
% 68.00/68.33 Clause #13851 (by clausification #[378]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 6 a a_1 a_2) (set_union2 a_3 a)) True) (Eq (subset a a_1) True)
% 68.23/68.54 Clause #13852 (by superposition #[13851, 149]): ∀ (a a_1 : Iota),
% 68.23/68.54 Or (Eq (subset a (set_union2 a_1 a)) True) (Or (Eq (subset a (set_union2 a_1 a)) True) (Eq True False))
% 68.23/68.54 Clause #13953 (by clausification #[13852]): ∀ (a a_1 : Iota), Or (Eq (subset a (set_union2 a_1 a)) True) (Eq (subset a (set_union2 a_1 a)) True)
% 68.23/68.54 Clause #13954 (by eliminate duplicate literals #[13953]): ∀ (a a_1 : Iota), Eq (subset a (set_union2 a_1 a)) True
% 68.23/68.54 Clause #13964 (by superposition #[13954, 54]): ∀ (a a_1 : Iota), Eq (subset a (set_union2 a a_1)) True
% 68.23/68.54 Clause #13982 (by superposition #[13964, 82]): Eq True False
% 68.23/68.54 Clause #13999 (by clausification #[13982]): False
% 68.23/68.54 SZS output end Proof for theBenchmark.p
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