TSTP Solution File: SEU586^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU586^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 16:42:51 EDT 2023
% Result : Theorem 3.48s 3.88s
% Output : Proof 3.48s
% 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 : SEU586^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n019.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 : Thu Aug 24 01:49:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.48/3.88 SZS status Theorem for theBenchmark.p
% 3.48/3.88 SZS output start Proof for theBenchmark.p
% 3.48/3.88 Clause #0 (by assumption #[]): Eq
% 3.48/3.88 (Eq binunionEcases
% 3.48/3.88 (∀ (A B Xx : Iota) (Xphi : Prop), in Xx (binunion A B) → (in Xx A → Xphi) → (in Xx B → Xphi) → Xphi))
% 3.48/3.88 True
% 3.48/3.88 Clause #1 (by assumption #[]): Eq (Not (binunionEcases → ∀ (A B Xx : Iota), in Xx (binunion A B) → Or (in Xx A) (in Xx B))) True
% 3.48/3.88 Clause #2 (by clausification #[0]): Eq binunionEcases (∀ (A B Xx : Iota) (Xphi : Prop), in Xx (binunion A B) → (in Xx A → Xphi) → (in Xx B → Xphi) → Xphi)
% 3.48/3.88 Clause #30 (by clausification #[1]): Eq (binunionEcases → ∀ (A B Xx : Iota), in Xx (binunion A B) → Or (in Xx A) (in Xx B)) False
% 3.48/3.88 Clause #31 (by clausification #[30]): Eq binunionEcases True
% 3.48/3.88 Clause #32 (by clausification #[30]): Eq (∀ (A B Xx : Iota), in Xx (binunion A B) → Or (in Xx A) (in Xx B)) False
% 3.48/3.88 Clause #33 (by backward demodulation #[31, 2]): Eq True (∀ (A B Xx : Iota) (Xphi : Prop), in Xx (binunion A B) → (in Xx A → Xphi) → (in Xx B → Xphi) → Xphi)
% 3.48/3.88 Clause #36 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (B Xx : Iota) (Xphi : Prop), in Xx (binunion a B) → (in Xx a → Xphi) → (in Xx B → Xphi) → Xphi) True
% 3.48/3.88 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.48/3.88 Eq (∀ (Xx : Iota) (Xphi : Prop), in Xx (binunion a a_1) → (in Xx a → Xphi) → (in Xx a_1 → Xphi) → Xphi) True
% 3.48/3.88 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Xphi : Prop), in a (binunion a_1 a_2) → (in a a_1 → Xphi) → (in a a_2 → Xphi) → Xphi) True
% 3.48/3.88 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop), Eq (in a (binunion a_1 a_2) → (in a a_1 → a_3) → (in a a_2 → a_3) → a_3) True
% 3.48/3.88 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.88 Or (Eq (in a (binunion a_1 a_2)) False) (Eq ((in a a_1 → a_3) → (in a a_2 → a_3) → a_3) True)
% 3.48/3.88 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.88 Or (Eq (in a (binunion a_1 a_2)) False) (Or (Eq (in a a_1 → a_3) False) (Eq ((in a a_2 → a_3) → a_3) True))
% 3.48/3.88 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.88 Or (Eq (in a (binunion a_1 a_2)) False) (Or (Eq ((in a a_2 → a_3) → a_3) True) (Eq (in a a_1) True))
% 3.48/3.88 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.88 Or (Eq (in a (binunion a_1 a_2)) False) (Or (Eq (in a a_1) True) (Or (Eq (in a a_2 → a_3) False) (Eq a_3 True)))
% 3.48/3.88 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.88 Or (Eq (in a (binunion a_1 a_2)) False) (Or (Eq (in a a_1) True) (Or (Eq a_3 True) (Eq (in a a_2) True)))
% 3.48/3.88 Clause #50 (by clausification #[32]): ∀ (a : Iota), Eq (Not (∀ (B Xx : Iota), in Xx (binunion (skS.0 4 a) B) → Or (in Xx (skS.0 4 a)) (in Xx B))) True
% 3.48/3.88 Clause #51 (by clausification #[50]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (binunion (skS.0 4 a) B) → Or (in Xx (skS.0 4 a)) (in Xx B)) False
% 3.48/3.88 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 3.48/3.88 Eq
% 3.48/3.88 (Not (∀ (Xx : Iota), in Xx (binunion (skS.0 4 a) (skS.0 5 a a_1)) → Or (in Xx (skS.0 4 a)) (in Xx (skS.0 5 a a_1))))
% 3.48/3.88 True
% 3.48/3.88 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota),
% 3.48/3.88 Eq (∀ (Xx : Iota), in Xx (binunion (skS.0 4 a) (skS.0 5 a a_1)) → Or (in Xx (skS.0 4 a)) (in Xx (skS.0 5 a a_1)))
% 3.48/3.88 False
% 3.48/3.88 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota),
% 3.48/3.88 Eq
% 3.48/3.88 (Not
% 3.48/3.88 (in (skS.0 6 a a_1 a_2) (binunion (skS.0 4 a) (skS.0 5 a a_1)) →
% 3.48/3.88 Or (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))))
% 3.48/3.88 True
% 3.48/3.88 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 3.48/3.88 Eq
% 3.48/3.88 (in (skS.0 6 a a_1 a_2) (binunion (skS.0 4 a) (skS.0 5 a a_1)) →
% 3.48/3.88 Or (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1)))
% 3.48/3.88 False
% 3.48/3.88 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1 a_2) (binunion (skS.0 4 a) (skS.0 5 a a_1))) True
% 3.48/3.88 Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Eq (Or (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1))) False
% 3.48/3.89 Clause #58 (by superposition #[56, 45]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.89 Or (Eq True False)
% 3.48/3.89 (Or (Eq (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) True)
% 3.48/3.89 (Or (Eq a_3 True) (Eq (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1)) True)))
% 3.48/3.89 Clause #68 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1)) False
% 3.48/3.89 Clause #69 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) False
% 3.48/3.89 Clause #70 (by clausification #[58]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.48/3.89 Or (Eq (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) True)
% 3.48/3.89 (Or (Eq a_3 True) (Eq (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1)) True))
% 3.48/3.89 Clause #71 (by forward demodulation #[70, 69]): ∀ (a : Prop) (a_1 a_2 a_3 : Iota),
% 3.48/3.89 Or (Eq False True) (Or (Eq a True) (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 5 a_1 a_2)) True))
% 3.48/3.89 Clause #72 (by clausification #[71]): ∀ (a : Prop) (a_1 a_2 a_3 : Iota), Or (Eq a True) (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 5 a_1 a_2)) True)
% 3.48/3.89 Clause #75 (by superposition #[72, 68]): ∀ (a : Prop), Or (Eq a True) (Eq True False)
% 3.48/3.89 Clause #78 (by clausification #[75]): ∀ (a : Prop), Eq a True
% 3.48/3.89 Clause #80 (by falseElim #[78]): False
% 3.48/3.89 SZS output end Proof for theBenchmark.p
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