TSTP Solution File: SEU519^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU519^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 16:42:28 EDT 2023
% Result : Theorem 3.46s 3.79s
% Output : Proof 3.46s
% 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 : SEU519^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n016.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 13:52:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.46/3.79 SZS status Theorem for theBenchmark.p
% 3.46/3.79 SZS output start Proof for theBenchmark.p
% 3.46/3.79 Clause #0 (by assumption #[]): Eq (Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)) True
% 3.46/3.79 Clause #1 (by assumption #[]): Eq (Eq powersetI (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))) True
% 3.46/3.79 Clause #2 (by assumption #[]): Eq (Not (emptysetE → powersetI → ∀ (A : Iota), in emptyset (powerset A))) True
% 3.46/3.79 Clause #3 (by clausification #[0]): Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)
% 3.46/3.79 Clause #18 (by clausification #[1]): Eq powersetI (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))
% 3.46/3.79 Clause #22 (by clausification #[2]): Eq (emptysetE → powersetI → ∀ (A : Iota), in emptyset (powerset A)) False
% 3.46/3.79 Clause #23 (by clausification #[22]): Eq emptysetE True
% 3.46/3.79 Clause #24 (by clausification #[22]): Eq (powersetI → ∀ (A : Iota), in emptyset (powerset A)) False
% 3.46/3.79 Clause #25 (by backward demodulation #[23, 3]): Eq True (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)
% 3.46/3.79 Clause #29 (by clausification #[25]): ∀ (a : Iota), Eq (in a emptyset → ∀ (Xphi : Prop), Xphi) True
% 3.46/3.79 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (in a emptyset) False) (Eq (∀ (Xphi : Prop), Xphi) True)
% 3.46/3.79 Clause #31 (by clausification #[30]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (in a emptyset) False) (Eq a_1 True)
% 3.46/3.79 Clause #32 (by clausification #[24]): Eq powersetI True
% 3.46/3.79 Clause #33 (by clausification #[24]): Eq (∀ (A : Iota), in emptyset (powerset A)) False
% 3.46/3.79 Clause #34 (by backward demodulation #[32, 18]): Eq True (∀ (A B : Iota), (∀ (Xx : Iota), in Xx B → in Xx A) → in B (powerset A))
% 3.46/3.79 Clause #35 (by clausification #[33]): ∀ (a : Iota), Eq (Not (in emptyset (powerset (skS.0 2 a)))) True
% 3.46/3.79 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (in emptyset (powerset (skS.0 2 a))) False
% 3.46/3.79 Clause #37 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx B → in Xx a) → in B (powerset a)) True
% 3.46/3.79 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → in a (powerset a_1)) True
% 3.46/3.79 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (in a (powerset a_1)) True)
% 3.46/3.79 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.79 Or (Eq (in a (powerset a_1)) True) (Eq (Not (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1)) True)
% 3.46/3.79 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.79 Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1) False)
% 3.46/3.79 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) True) (Eq (in (skS.0 3 a a_1 a_2) a) True)
% 3.46/3.79 Clause #44 (by superposition #[42, 31]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (in emptyset (powerset a)) True) (Or (Eq True False) (Eq a_1 True))
% 3.46/3.79 Clause #46 (by clausification #[44]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (in emptyset (powerset a)) True) (Eq a_1 True)
% 3.46/3.79 Clause #47 (by superposition #[46, 36]): ∀ (a : Prop), Or (Eq a True) (Eq True False)
% 3.46/3.79 Clause #51 (by clausification #[47]): ∀ (a : Prop), Eq a True
% 3.46/3.79 Clause #53 (by falseElim #[51]): False
% 3.46/3.79 SZS output end Proof for theBenchmark.p
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