TSTP Solution File: SEU634^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU634^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 16:43:07 EDT 2023
% Result : Theorem 4.63s 4.95s
% Output : Proof 4.63s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU634^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.15 % Command : duper %s
% 0.16/0.36 % Computer : n031.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 23 13:00:50 EDT 2023
% 0.16/0.37 % CPUTime :
% 4.63/4.95 SZS status Theorem for theBenchmark.p
% 4.63/4.95 SZS output start Proof for theBenchmark.p
% 4.63/4.95 Clause #0 (by assumption #[]): Eq (Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)) True
% 4.63/4.95 Clause #1 (by assumption #[]): Eq (Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)) True
% 4.63/4.95 Clause #2 (by assumption #[]): Eq (Eq setunionE2 (∀ (A Xx : Iota), in Xx (setunion A) → Exists fun X => And (in X A) (in Xx X))) True
% 4.63/4.95 Clause #3 (by assumption #[]): Eq (Not (uniqinunit → subsetI2 → setunionE2 → ∀ (A : Iota), subset (setunion (setadjoin A emptyset)) A)) True
% 4.63/4.95 Clause #4 (by clausification #[1]): Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)
% 4.63/4.95 Clause #23 (by clausification #[0]): Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)
% 4.63/4.95 Clause #27 (by clausification #[2]): Eq setunionE2 (∀ (A Xx : Iota), in Xx (setunion A) → Exists fun X => And (in X A) (in Xx X))
% 4.63/4.95 Clause #41 (by clausification #[3]): Eq (uniqinunit → subsetI2 → setunionE2 → ∀ (A : Iota), subset (setunion (setadjoin A emptyset)) A) False
% 4.63/4.95 Clause #42 (by clausification #[41]): Eq uniqinunit True
% 4.63/4.95 Clause #43 (by clausification #[41]): Eq (subsetI2 → setunionE2 → ∀ (A : Iota), subset (setunion (setadjoin A emptyset)) A) False
% 4.63/4.95 Clause #44 (by backward demodulation #[42, 23]): Eq True (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)
% 4.63/4.95 Clause #47 (by clausification #[44]): ∀ (a : Iota), Eq (∀ (Xy : Iota), in a (setadjoin Xy emptyset) → Eq a Xy) True
% 4.63/4.95 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a_1 emptyset) → Eq a a_1) True
% 4.63/4.95 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq (Eq a a_1) True)
% 4.63/4.95 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq a a_1)
% 4.63/4.95 Clause #51 (by clausification #[43]): Eq subsetI2 True
% 4.63/4.95 Clause #52 (by clausification #[43]): Eq (setunionE2 → ∀ (A : Iota), subset (setunion (setadjoin A emptyset)) A) False
% 4.63/4.95 Clause #53 (by backward demodulation #[51, 4]): Eq True (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)
% 4.63/4.95 Clause #57 (by clausification #[53]): ∀ (a : Iota), Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx a → in Xx B) → subset a B) True
% 4.63/4.95 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → subset a a_1) True
% 4.63/4.95 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (subset a a_1) True)
% 4.63/4.95 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 4.63/4.95 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 5 a a_1 a_2) a → in (skS.0 5 a a_1 a_2) a_1)) True)
% 4.63/4.95 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 5 a a_1 a_2) a → in (skS.0 5 a a_1 a_2) a_1) False)
% 4.63/4.95 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 5 a a_1 a_2) a) True)
% 4.63/4.95 Clause #63 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 5 a a_1 a_2) a_1) False)
% 4.63/4.95 Clause #65 (by clausification #[52]): Eq setunionE2 True
% 4.63/4.95 Clause #66 (by clausification #[52]): Eq (∀ (A : Iota), subset (setunion (setadjoin A emptyset)) A) False
% 4.63/4.95 Clause #67 (by backward demodulation #[65, 27]): Eq True (∀ (A Xx : Iota), in Xx (setunion A) → Exists fun X => And (in X A) (in Xx X))
% 4.63/4.95 Clause #68 (by clausification #[66]): ∀ (a : Iota), Eq (Not (subset (setunion (setadjoin (skS.0 6 a) emptyset)) (skS.0 6 a))) True
% 4.63/4.95 Clause #69 (by clausification #[68]): ∀ (a : Iota), Eq (subset (setunion (setadjoin (skS.0 6 a) emptyset)) (skS.0 6 a)) False
% 4.63/4.95 Clause #71 (by clausification #[67]): ∀ (a : Iota), Eq (∀ (Xx : Iota), in Xx (setunion a) → Exists fun X => And (in X a) (in Xx X)) True
% 4.63/4.95 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Eq (in a (setunion a_1) → Exists fun X => And (in X a_1) (in a X)) True
% 4.63/4.95 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota), Or (Eq (in a (setunion a_1)) False) (Eq (Exists fun X => And (in X a_1) (in a X)) True)
% 4.63/4.96 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 4.63/4.96 Or (Eq (in a (setunion a_1)) False) (Eq (And (in (skS.0 7 a_1 a a_2) a_1) (in a (skS.0 7 a_1 a a_2))) True)
% 4.63/4.96 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setunion a_1)) False) (Eq (in a (skS.0 7 a_1 a a_2)) True)
% 4.63/4.96 Clause #76 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setunion a_1)) False) (Eq (in (skS.0 7 a_1 a a_2) a_1) True)
% 4.63/4.96 Clause #77 (by superposition #[75, 62]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.63/4.96 Or (Eq (in (skS.0 5 (setunion a) a_1 a_2) (skS.0 7 a (skS.0 5 (setunion a) a_1 a_2) a_3)) True)
% 4.63/4.96 (Or (Eq (subset (setunion a) a_1) True) (Eq False True))
% 4.63/4.96 Clause #97 (by superposition #[76, 62]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.63/4.96 Or (Eq (in (skS.0 7 a (skS.0 5 (setunion a) a_1 a_2) a_3) a) True)
% 4.63/4.96 (Or (Eq (subset (setunion a) a_1) True) (Eq False True))
% 4.63/4.96 Clause #127 (by clausification #[77]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.63/4.96 Or (Eq (in (skS.0 5 (setunion a) a_1 a_2) (skS.0 7 a (skS.0 5 (setunion a) a_1 a_2) a_3)) True)
% 4.63/4.96 (Eq (subset (setunion a) a_1) True)
% 4.63/4.96 Clause #143 (by clausification #[97]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.63/4.96 Or (Eq (in (skS.0 7 a (skS.0 5 (setunion a) a_1 a_2) a_3) a) True) (Eq (subset (setunion a) a_1) True)
% 4.63/4.96 Clause #144 (by superposition #[143, 50]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.63/4.96 Or (Eq (subset (setunion (setadjoin a emptyset)) a_1) True)
% 4.63/4.96 (Or (Eq True False) (Eq (skS.0 7 (setadjoin a emptyset) (skS.0 5 (setunion (setadjoin a emptyset)) a_1 a_2) a_3) a))
% 4.63/4.96 Clause #163 (by clausification #[144]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.63/4.96 Or (Eq (subset (setunion (setadjoin a emptyset)) a_1) True)
% 4.63/4.96 (Eq (skS.0 7 (setadjoin a emptyset) (skS.0 5 (setunion (setadjoin a emptyset)) a_1 a_2) a_3) a)
% 4.63/4.96 Clause #164 (by superposition #[163, 127]): ∀ (a a_1 a_2 : Iota),
% 4.63/4.96 Or (Eq (subset (setunion (setadjoin a emptyset)) a_1) True)
% 4.63/4.96 (Or (Eq (in (skS.0 5 (setunion (setadjoin a emptyset)) a_1 a_2) a) True)
% 4.63/4.96 (Eq (subset (setunion (setadjoin a emptyset)) a_1) True))
% 4.63/4.96 Clause #176 (by eliminate duplicate literals #[164]): ∀ (a a_1 a_2 : Iota),
% 4.63/4.96 Or (Eq (subset (setunion (setadjoin a emptyset)) a_1) True)
% 4.63/4.96 (Eq (in (skS.0 5 (setunion (setadjoin a emptyset)) a_1 a_2) a) True)
% 4.63/4.96 Clause #182 (by superposition #[176, 63]): ∀ (a : Iota),
% 4.63/4.96 Or (Eq (subset (setunion (setadjoin a emptyset)) a) True)
% 4.63/4.96 (Or (Eq (subset (setunion (setadjoin a emptyset)) a) True) (Eq True False))
% 4.63/4.96 Clause #186 (by clausification #[182]): ∀ (a : Iota),
% 4.63/4.96 Or (Eq (subset (setunion (setadjoin a emptyset)) a) True) (Eq (subset (setunion (setadjoin a emptyset)) a) True)
% 4.63/4.96 Clause #187 (by eliminate duplicate literals #[186]): ∀ (a : Iota), Eq (subset (setunion (setadjoin a emptyset)) a) True
% 4.63/4.96 Clause #188 (by superposition #[187, 69]): Eq True False
% 4.63/4.96 Clause #189 (by clausification #[188]): False
% 4.63/4.96 SZS output end Proof for theBenchmark.p
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