TSTP Solution File: SEU652^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU652^2 : TPTP v8.1.2. Released v3.7.0.
% 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 16:43:13 EDT 2023
% Result : Theorem 3.46s 3.70s
% Output : Proof 3.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU652^2 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 17:06:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.46/3.70 SZS status Theorem for theBenchmark.p
% 3.46/3.70 SZS output start Proof for theBenchmark.p
% 3.46/3.70 Clause #0 (by assumption #[]): Eq (Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))) True
% 3.46/3.70 Clause #1 (by assumption #[]): Eq (Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)) True
% 3.46/3.70 Clause #2 (by assumption #[]): Eq (Eq secondinupair (∀ (Xx Xy : Iota), in Xy (setadjoin Xx (setadjoin Xy emptyset)))) True
% 3.46/3.70 Clause #3 (by assumption #[]): Eq
% 3.46/3.70 (Not
% 3.46/3.70 (setadjoinIL →
% 3.46/3.70 uniqinunit →
% 3.46/3.70 secondinupair →
% 3.46/3.70 ∀ (Xx Xy Xz : Iota), Eq (setadjoin Xx (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq Xx Xy))
% 3.46/3.70 True
% 3.46/3.70 Clause #4 (by clausification #[1]): Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)
% 3.46/3.70 Clause #18 (by clausification #[0]): Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))
% 3.46/3.70 Clause #20 (by clausify Prop equality #[18]): Or (Eq setadjoinIL False) (Eq (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) True)
% 3.46/3.70 Clause #22 (by clausification #[2]): Eq secondinupair (∀ (Xx Xy : Iota), in Xy (setadjoin Xx (setadjoin Xy emptyset)))
% 3.46/3.70 Clause #24 (by clausify Prop equality #[22]): Or (Eq secondinupair False) (Eq (∀ (Xx Xy : Iota), in Xy (setadjoin Xx (setadjoin Xy emptyset))) True)
% 3.46/3.70 Clause #26 (by clausification #[20]): ∀ (a : Iota), Or (Eq setadjoinIL False) (Eq (∀ (Xy : Iota), in a (setadjoin a Xy)) True)
% 3.46/3.70 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq setadjoinIL False) (Eq (in a (setadjoin a a_1)) True)
% 3.46/3.70 Clause #36 (by clausification #[24]): ∀ (a : Iota), Or (Eq secondinupair False) (Eq (∀ (Xy : Iota), in Xy (setadjoin a (setadjoin Xy emptyset))) True)
% 3.46/3.70 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq secondinupair False) (Eq (in a (setadjoin a_1 (setadjoin a emptyset))) True)
% 3.46/3.70 Clause #38 (by clausification #[3]): Eq
% 3.46/3.70 (setadjoinIL →
% 3.46/3.70 uniqinunit →
% 3.46/3.70 secondinupair → ∀ (Xx Xy Xz : Iota), Eq (setadjoin Xx (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq Xx Xy)
% 3.46/3.70 False
% 3.46/3.70 Clause #39 (by clausification #[38]): Eq setadjoinIL True
% 3.46/3.70 Clause #40 (by clausification #[38]): Eq
% 3.46/3.70 (uniqinunit →
% 3.46/3.70 secondinupair → ∀ (Xx Xy Xz : Iota), Eq (setadjoin Xx (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq Xx Xy)
% 3.46/3.70 False
% 3.46/3.70 Clause #42 (by backward demodulation #[39, 27]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in a (setadjoin a a_1)) True)
% 3.46/3.70 Clause #44 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a a_1)) True
% 3.46/3.70 Clause #46 (by clausification #[40]): Eq uniqinunit True
% 3.46/3.70 Clause #47 (by clausification #[40]): Eq (secondinupair → ∀ (Xx Xy Xz : Iota), Eq (setadjoin Xx (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq Xx Xy)
% 3.46/3.70 False
% 3.46/3.70 Clause #48 (by backward demodulation #[46, 4]): Eq True (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)
% 3.46/3.70 Clause #51 (by clausification #[48]): ∀ (a : Iota), Eq (∀ (Xy : Iota), in a (setadjoin Xy emptyset) → Eq a Xy) True
% 3.46/3.70 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a_1 emptyset) → Eq a a_1) True
% 3.46/3.70 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq (Eq a a_1) True)
% 3.46/3.70 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq a a_1)
% 3.46/3.70 Clause #59 (by clausification #[47]): Eq secondinupair True
% 3.46/3.70 Clause #60 (by clausification #[47]): Eq (∀ (Xx Xy Xz : Iota), Eq (setadjoin Xx (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq Xx Xy) False
% 3.46/3.70 Clause #63 (by backward demodulation #[59, 37]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in a (setadjoin a_1 (setadjoin a emptyset))) True)
% 3.46/3.70 Clause #64 (by clausification #[60]): ∀ (a : Iota),
% 3.46/3.70 Eq
% 3.46/3.70 (Not
% 3.46/3.70 (∀ (Xy Xz : Iota),
% 3.46/3.70 Eq (setadjoin (skS.0 6 a) (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq (skS.0 6 a) Xy))
% 3.46/3.70 True
% 3.46/3.70 Clause #65 (by clausification #[64]): ∀ (a : Iota),
% 3.46/3.70 Eq (∀ (Xy Xz : Iota), Eq (setadjoin (skS.0 6 a) (setadjoin Xy emptyset)) (setadjoin Xz emptyset) → Eq (skS.0 6 a) Xy)
% 3.46/3.70 False
% 3.46/3.70 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 3.54/3.71 Eq
% 3.54/3.71 (Not
% 3.54/3.71 (∀ (Xz : Iota),
% 3.54/3.71 Eq (setadjoin (skS.0 6 a) (setadjoin (skS.0 7 a a_1) emptyset)) (setadjoin Xz emptyset) →
% 3.54/3.71 Eq (skS.0 6 a) (skS.0 7 a a_1)))
% 3.54/3.71 True
% 3.54/3.71 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 3.54/3.71 Eq
% 3.54/3.71 (∀ (Xz : Iota),
% 3.54/3.71 Eq (setadjoin (skS.0 6 a) (setadjoin (skS.0 7 a a_1) emptyset)) (setadjoin Xz emptyset) →
% 3.54/3.71 Eq (skS.0 6 a) (skS.0 7 a a_1))
% 3.54/3.71 False
% 3.54/3.71 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 3.54/3.71 Eq
% 3.54/3.71 (Not
% 3.54/3.71 (Eq (setadjoin (skS.0 6 a) (setadjoin (skS.0 7 a a_1) emptyset)) (setadjoin (skS.0 8 a a_1 a_2) emptyset) →
% 3.54/3.71 Eq (skS.0 6 a) (skS.0 7 a a_1)))
% 3.54/3.71 True
% 3.54/3.71 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota),
% 3.54/3.71 Eq
% 3.54/3.71 (Eq (setadjoin (skS.0 6 a) (setadjoin (skS.0 7 a a_1) emptyset)) (setadjoin (skS.0 8 a a_1 a_2) emptyset) →
% 3.54/3.71 Eq (skS.0 6 a) (skS.0 7 a a_1))
% 3.54/3.71 False
% 3.54/3.71 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 3.54/3.71 Eq (Eq (setadjoin (skS.0 6 a) (setadjoin (skS.0 7 a a_1) emptyset)) (setadjoin (skS.0 8 a a_1 a_2) emptyset)) True
% 3.54/3.71 Clause #71 (by clausification #[69]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 6 a) (skS.0 7 a a_1)) False
% 3.54/3.71 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota),
% 3.54/3.71 Eq (setadjoin (skS.0 6 a) (setadjoin (skS.0 7 a a_1) emptyset)) (setadjoin (skS.0 8 a a_1 a_2) emptyset)
% 3.54/3.71 Clause #74 (by superposition #[72, 44]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a) (setadjoin (skS.0 8 a a_1 a_2) emptyset)) True
% 3.54/3.71 Clause #77 (by clausification #[63]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a_1 (setadjoin a emptyset))) True
% 3.54/3.71 Clause #78 (by superposition #[77, 72]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 7 a a_1) (setadjoin (skS.0 8 a a_1 a_2) emptyset)) True
% 3.54/3.71 Clause #81 (by clausification #[71]): ∀ (a a_1 : Iota), Ne (skS.0 6 a) (skS.0 7 a a_1)
% 3.54/3.71 Clause #82 (by superposition #[74, 54]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (skS.0 6 a) (skS.0 8 a a_1 a_2))
% 3.54/3.71 Clause #84 (by clausification #[82]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 6 a) (skS.0 8 a a_1 a_2)
% 3.54/3.71 Clause #87 (by forward demodulation #[78, 84]): ∀ (a a_1 : Iota), Eq (in (skS.0 7 a a_1) (setadjoin (skS.0 6 a) emptyset)) True
% 3.54/3.71 Clause #88 (by superposition #[87, 54]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (skS.0 7 a a_1) (skS.0 6 a))
% 3.54/3.71 Clause #89 (by clausification #[88]): ∀ (a a_1 : Iota), Eq (skS.0 7 a a_1) (skS.0 6 a)
% 3.54/3.71 Clause #90 (by forward contextual literal cutting #[89, 81]): False
% 3.54/3.71 SZS output end Proof for theBenchmark.p
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