TSTP Solution File: SET904+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 14:47:59 EDT 2023
% Result : Theorem 3.60s 3.84s
% Output : Proof 3.60s
% 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 : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n020.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 : Sat Aug 26 11:17:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.60/3.84 SZS status Theorem for theBenchmark.p
% 3.60/3.84 SZS output start Proof for theBenchmark.p
% 3.60/3.84 Clause #8 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B)) True
% 3.60/3.84 Clause #9 (by assumption #[]): Eq (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B) True
% 3.60/3.84 Clause #14 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_union2 (singleton a) B) B → in a B) True
% 3.60/3.84 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (subset (set_union2 (singleton a) a_1) a_1 → in a a_1) True
% 3.60/3.84 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (subset (set_union2 (singleton a) a_1) a_1) False) (Eq (in a a_1) True)
% 3.60/3.84 Clause #28 (by clausification #[8]): Eq (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B) False
% 3.60/3.84 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (set_union2 (singleton (skS.0 2 a)) B) B → in (skS.0 2 a) B)) True
% 3.60/3.84 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_union2 (singleton (skS.0 2 a)) B) B → in (skS.0 2 a) B) False
% 3.60/3.84 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.60/3.84 Eq
% 3.60/3.84 (Not (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) → in (skS.0 2 a) (skS.0 3 a a_1)))
% 3.60/3.84 True
% 3.60/3.84 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.60/3.84 Eq (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) → in (skS.0 2 a) (skS.0 3 a a_1))
% 3.60/3.84 False
% 3.60/3.84 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1)) True
% 3.60/3.84 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False
% 3.60/3.84 Clause #35 (by superposition #[33, 16]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True)
% 3.60/3.84 Clause #55 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.60/3.84 Clause #56 (by superposition #[55, 34]): Eq True False
% 3.60/3.84 Clause #58 (by clausification #[56]): False
% 3.60/3.84 SZS output end Proof for theBenchmark.p
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