TSTP Solution File: SEU161+2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 16:40:32 EDT 2023
% Result : Theorem 80.51s 80.69s
% Output : Proof 80.51s
% 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 : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n011.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 20:03:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 80.51/80.69 SZS status Theorem for theBenchmark.p
% 80.51/80.69 SZS output start Proof for theBenchmark.p
% 80.51/80.69 Clause #28 (by assumption #[]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) True
% 80.51/80.69 Clause #63 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B)) True
% 80.51/80.69 Clause #513 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → Eq (set_union2 (singleton a) B) B) True
% 80.51/80.69 Clause #514 (by clausification #[513]): ∀ (a a_1 : Iota), Eq (in a a_1 → Eq (set_union2 (singleton a) a_1) a_1) True
% 80.51/80.69 Clause #515 (by clausification #[514]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (Eq (set_union2 (singleton a) a_1) a_1) True)
% 80.51/80.69 Clause #516 (by clausification #[515]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (set_union2 (singleton a) a_1) a_1)
% 80.51/80.69 Clause #911 (by clausification #[63]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) False
% 80.51/80.69 Clause #912 (by clausification #[911]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 13 a) B → Eq (set_union2 (singleton (skS.0 13 a)) B) B)) True
% 80.51/80.69 Clause #913 (by clausification #[912]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 13 a) B → Eq (set_union2 (singleton (skS.0 13 a)) B) B) False
% 80.51/80.69 Clause #914 (by clausification #[913]): ∀ (a a_1 : Iota),
% 80.51/80.69 Eq
% 80.51/80.69 (Not
% 80.51/80.69 (in (skS.0 13 a) (skS.0 14 a a_1) → Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)))
% 80.51/80.69 True
% 80.51/80.69 Clause #915 (by clausification #[914]): ∀ (a a_1 : Iota),
% 80.51/80.69 Eq (in (skS.0 13 a) (skS.0 14 a a_1) → Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1))
% 80.51/80.69 False
% 80.51/80.69 Clause #916 (by clausification #[915]): ∀ (a a_1 : Iota), Eq (in (skS.0 13 a) (skS.0 14 a a_1)) True
% 80.51/80.69 Clause #917 (by clausification #[915]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)) False
% 80.51/80.69 Clause #920 (by superposition #[916, 516]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1))
% 80.51/80.69 Clause #26011 (by clausification #[917]): ∀ (a a_1 : Iota), Ne (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)
% 80.51/80.69 Clause #26275 (by clausification #[920]): ∀ (a a_1 : Iota), Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)
% 80.51/80.69 Clause #26276 (by forward contextual literal cutting #[26275, 26011]): False
% 80.51/80.69 SZS output end Proof for theBenchmark.p
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