TSTP Solution File: SEU161+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 3.69s 3.90s
% Output : Proof 3.69s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n024.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 : Wed Aug 23 16:34:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.69/3.90 SZS status Theorem for theBenchmark.p
% 3.69/3.90 SZS output start Proof for theBenchmark.p
% 3.69/3.90 Clause #4 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B)) True
% 3.69/3.90 Clause #5 (by assumption #[]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) True
% 3.69/3.90 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → Eq (set_union2 (singleton a) B) B) True
% 3.69/3.90 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (in a a_1 → Eq (set_union2 (singleton a) a_1) a_1) True
% 3.69/3.90 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (Eq (set_union2 (singleton a) a_1) a_1) True)
% 3.69/3.90 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (set_union2 (singleton a) a_1) a_1)
% 3.69/3.90 Clause #20 (by clausification #[4]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) False
% 3.69/3.90 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 0 a) B → Eq (set_union2 (singleton (skS.0 0 a)) B) B)) True
% 3.69/3.90 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 0 a) B → Eq (set_union2 (singleton (skS.0 0 a)) B) B) False
% 3.69/3.90 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 3.69/3.90 Eq (Not (in (skS.0 0 a) (skS.0 1 a a_1) → Eq (set_union2 (singleton (skS.0 0 a)) (skS.0 1 a a_1)) (skS.0 1 a a_1)))
% 3.69/3.90 True
% 3.69/3.90 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota),
% 3.69/3.90 Eq (in (skS.0 0 a) (skS.0 1 a a_1) → Eq (set_union2 (singleton (skS.0 0 a)) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False
% 3.69/3.90 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (in (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.69/3.90 Clause #26 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 (singleton (skS.0 0 a)) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False
% 3.69/3.90 Clause #28 (by superposition #[25, 19]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (set_union2 (singleton (skS.0 0 a)) (skS.0 1 a a_1)) (skS.0 1 a a_1))
% 3.69/3.90 Clause #30 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (set_union2 (singleton (skS.0 0 a)) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 3.69/3.90 Clause #31 (by clausification #[26]): ∀ (a a_1 : Iota), Ne (set_union2 (singleton (skS.0 0 a)) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 3.69/3.90 Clause #32 (by forward demodulation #[31, 30]): ∀ (a a_1 : Iota), Ne (skS.0 1 a a_1) (skS.0 1 a a_1)
% 3.69/3.90 Clause #33 (by eliminate resolved literals #[32]): False
% 3.69/3.90 SZS output end Proof for theBenchmark.p
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