TSTP Solution File: SEU736^2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU736^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 16:43:38 EDT 2023
% Result : Theorem 5.44s 5.66s
% Output : Proof 5.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU736^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Wed Aug 23 20:26:37 EDT 2023
% 0.16/0.34 % CPUTime :
% 5.44/5.66 SZS status Theorem for theBenchmark.p
% 5.44/5.66 SZS output start Proof for theBenchmark.p
% 5.44/5.66 Clause #0 (by assumption #[]): Eq (Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))) True
% 5.44/5.66 Clause #1 (by assumption #[]): Eq
% 5.44/5.66 (Eq contrasubsetT
% 5.44/5.66 (∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → subset X (setminus A Y) → in Xx Y → Not (in Xx X)))
% 5.44/5.66 True
% 5.44/5.66 Clause #2 (by assumption #[]): Eq
% 5.44/5.66 (Not
% 5.44/5.66 (setminusI →
% 5.44/5.66 contrasubsetT →
% 5.44/5.66 ∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota),
% 5.44/5.66 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X)))
% 5.44/5.66 True
% 5.44/5.66 Clause #3 (by clausification #[0]): Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 5.44/5.66 Clause #21 (by clausification #[1]): Eq contrasubsetT
% 5.44/5.66 (∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → subset X (setminus A Y) → in Xx Y → Not (in Xx X))
% 5.44/5.66 Clause #25 (by clausification #[2]): Eq
% 5.44/5.66 (setminusI →
% 5.44/5.66 contrasubsetT →
% 5.44/5.66 ∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota),
% 5.44/5.66 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X))
% 5.44/5.66 False
% 5.44/5.66 Clause #26 (by clausification #[25]): Eq setminusI True
% 5.44/5.66 Clause #27 (by clausification #[25]): Eq
% 5.44/5.66 (contrasubsetT →
% 5.44/5.66 ∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota),
% 5.44/5.66 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X))
% 5.44/5.66 False
% 5.44/5.66 Clause #28 (by backward demodulation #[26, 3]): Eq True (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))
% 5.44/5.66 Clause #31 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx a → Not (in Xx B) → in Xx (setminus a B)) True
% 5.44/5.66 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx a → Not (in Xx a_1) → in Xx (setminus a a_1)) True
% 5.44/5.66 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → Not (in a a_2) → in a (setminus a_1 a_2)) True
% 5.44/5.66 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (Not (in a a_2) → in a (setminus a_1 a_2)) True)
% 5.44/5.66 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (Not (in a a_2)) False) (Eq (in a (setminus a_1 a_2)) True))
% 5.44/5.66 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (in a (setminus a_1 a_2)) True) (Eq (in a a_2) True))
% 5.44/5.66 Clause #37 (by clausification #[27]): Eq contrasubsetT True
% 5.44/5.66 Clause #38 (by clausification #[27]): Eq
% 5.44/5.66 (∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota),
% 5.44/5.66 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X))
% 5.44/5.66 False
% 5.44/5.66 Clause #39 (by backward demodulation #[37, 21]): Eq True
% 5.44/5.66 (∀ (A X : Iota),
% 5.44/5.66 in X (powerset A) →
% 5.44/5.66 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → subset X (setminus A Y) → in Xx Y → Not (in Xx X))
% 5.44/5.66 Clause #40 (by clausification #[39]): ∀ (a : Iota),
% 5.44/5.66 Eq
% 5.44/5.66 (∀ (X : Iota),
% 5.44/5.66 in X (powerset a) →
% 5.44/5.66 ∀ (Y : Iota), in Y (powerset a) → ∀ (Xx : Iota), in Xx a → subset X (setminus a Y) → in Xx Y → Not (in Xx X))
% 5.44/5.66 True
% 5.44/5.66 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 5.44/5.66 Eq
% 5.44/5.66 (in a (powerset a_1) →
% 5.44/5.66 ∀ (Y : Iota),
% 5.44/5.66 in Y (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 Y) → in Xx Y → Not (in Xx a))
% 5.44/5.66 True
% 5.44/5.66 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 5.44/5.66 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.66 (Eq
% 5.44/5.66 (∀ (Y : Iota),
% 5.44/5.66 in Y (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 Y) → in Xx Y → Not (in Xx a))
% 5.44/5.66 True)
% 5.44/5.66 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 5.44/5.66 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.66 (Eq (in a_2 (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 a_2) → in Xx a_2 → Not (in Xx a))
% 5.44/5.68 True)
% 5.44/5.68 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 5.44/5.68 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_2 (powerset a_1)) False)
% 5.44/5.68 (Eq (∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 a_2) → in Xx a_2 → Not (in Xx a)) True))
% 5.44/5.68 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.44/5.68 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_2 (powerset a_1)) False)
% 5.44/5.68 (Eq (in a_3 a_1 → subset a (setminus a_1 a_2) → in a_3 a_2 → Not (in a_3 a)) True))
% 5.44/5.68 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.44/5.68 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_2 (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_3 a_1) False) (Eq (subset a (setminus a_1 a_2) → in a_3 a_2 → Not (in a_3 a)) True)))
% 5.44/5.68 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.44/5.68 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_2 (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_3 a_1) False)
% 5.44/5.68 (Or (Eq (subset a (setminus a_1 a_2)) False) (Eq (in a_3 a_2 → Not (in a_3 a)) True))))
% 5.44/5.68 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.44/5.68 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_2 (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_3 a_1) False)
% 5.44/5.68 (Or (Eq (subset a (setminus a_1 a_2)) False) (Or (Eq (in a_3 a_2) False) (Eq (Not (in a_3 a)) True)))))
% 5.44/5.68 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.44/5.68 Or (Eq (in a (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_2 (powerset a_1)) False)
% 5.44/5.68 (Or (Eq (in a_3 a_1) False)
% 5.44/5.68 (Or (Eq (subset a (setminus a_1 a_2)) False) (Or (Eq (in a_3 a_2) False) (Eq (in a_3 a) False)))))
% 5.44/5.68 Clause #50 (by clausification #[38]): ∀ (a : Iota),
% 5.44/5.68 Eq
% 5.44/5.68 (Not
% 5.44/5.68 (∀ (X : Iota),
% 5.44/5.68 in X (powerset (skS.0 3 a)) →
% 5.44/5.68 ∀ (Y : Iota),
% 5.44/5.68 in Y (powerset (skS.0 3 a)) →
% 5.44/5.68 subset X (setminus (skS.0 3 a) Y) →
% 5.44/5.68 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) X)))
% 5.44/5.68 True
% 5.44/5.68 Clause #51 (by clausification #[50]): ∀ (a : Iota),
% 5.44/5.68 Eq
% 5.44/5.68 (∀ (X : Iota),
% 5.44/5.68 in X (powerset (skS.0 3 a)) →
% 5.44/5.68 ∀ (Y : Iota),
% 5.44/5.68 in Y (powerset (skS.0 3 a)) →
% 5.44/5.68 subset X (setminus (skS.0 3 a) Y) →
% 5.44/5.68 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) X))
% 5.44/5.68 False
% 5.44/5.68 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 5.44/5.68 Eq
% 5.44/5.68 (Not
% 5.44/5.68 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) →
% 5.44/5.68 ∀ (Y : Iota),
% 5.44/5.68 in Y (powerset (skS.0 3 a)) →
% 5.44/5.68 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) Y) →
% 5.44/5.68 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))))
% 5.44/5.68 True
% 5.44/5.68 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota),
% 5.44/5.68 Eq
% 5.44/5.68 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) →
% 5.44/5.68 ∀ (Y : Iota),
% 5.44/5.68 in Y (powerset (skS.0 3 a)) →
% 5.44/5.68 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) Y) →
% 5.44/5.68 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1)))
% 5.44/5.68 False
% 5.44/5.68 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (in (skS.0 4 a a_1) (powerset (skS.0 3 a))) True
% 5.44/5.68 Clause #55 (by clausification #[53]): ∀ (a a_1 : Iota),
% 5.44/5.68 Eq
% 5.44/5.68 (∀ (Y : Iota),
% 5.44/5.68 in Y (powerset (skS.0 3 a)) →
% 5.44/5.68 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) Y) →
% 5.44/5.68 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1)))
% 5.44/5.68 False
% 5.44/5.68 Clause #56 (by superposition #[54, 49]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.44/5.68 Or (Eq True False)
% 5.44/5.68 (Or (Eq (in a (powerset (skS.0 3 a_1))) False)
% 5.44/5.68 (Or (Eq (in a_2 (skS.0 3 a_1)) False)
% 5.44/5.68 (Or (Eq (subset (skS.0 4 a_1 a_3) (setminus (skS.0 3 a_1) a)) False)
% 5.44/5.68 (Or (Eq (in a_2 a) False) (Eq (in a_2 (skS.0 4 a_1 a_3)) False)))))
% 5.44/5.68 Clause #85 (by clausification #[55]): ∀ (a a_1 a_2 : Iota),
% 5.44/5.68 Eq
% 5.44/5.68 (Not
% 5.44/5.68 (in (skS.0 8 a a_1 a_2) (powerset (skS.0 3 a)) →
% 5.44/5.68 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2)) →
% 5.54/5.71 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))))
% 5.54/5.71 True
% 5.54/5.71 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota),
% 5.54/5.71 Eq
% 5.54/5.71 (in (skS.0 8 a a_1 a_2) (powerset (skS.0 3 a)) →
% 5.54/5.71 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2)) →
% 5.54/5.71 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1)))
% 5.54/5.71 False
% 5.54/5.71 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (powerset (skS.0 3 a))) True
% 5.54/5.71 Clause #88 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 5.54/5.71 Eq
% 5.54/5.71 (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2)) →
% 5.54/5.71 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1)))
% 5.54/5.71 False
% 5.54/5.71 Clause #96 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2))) True
% 5.54/5.71 Clause #97 (by clausification #[88]): ∀ (a a_1 a_2 : Iota),
% 5.54/5.71 Eq (∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))) False
% 5.54/5.71 Clause #98 (by clausification #[97]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.54/5.71 Eq
% 5.54/5.71 (Not
% 5.54/5.71 (in (skS.0 10 a a_1 a_2 a_3) (skS.0 3 a) →
% 5.54/5.71 in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2) →
% 5.54/5.71 in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1))))
% 5.54/5.71 True
% 5.54/5.71 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.54/5.71 Eq
% 5.54/5.71 (in (skS.0 10 a a_1 a_2 a_3) (skS.0 3 a) →
% 5.54/5.71 in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2) →
% 5.54/5.71 in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1)))
% 5.54/5.71 False
% 5.54/5.71 Clause #100 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 3 a)) True
% 5.54/5.71 Clause #101 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.54/5.71 Eq
% 5.54/5.71 (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2) →
% 5.54/5.71 in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1)))
% 5.54/5.71 False
% 5.54/5.71 Clause #102 (by superposition #[100, 36]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.54/5.71 Or (Eq True False)
% 5.54/5.71 (Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) a_4)) True) (Eq (in (skS.0 10 a a_1 a_2 a_3) a_4) True))
% 5.54/5.71 Clause #109 (by clausification #[56]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.54/5.71 Or (Eq (in a (powerset (skS.0 3 a_1))) False)
% 5.54/5.71 (Or (Eq (in a_2 (skS.0 3 a_1)) False)
% 5.54/5.71 (Or (Eq (subset (skS.0 4 a_1 a_3) (setminus (skS.0 3 a_1) a)) False)
% 5.54/5.71 (Or (Eq (in a_2 a) False) (Eq (in a_2 (skS.0 4 a_1 a_3)) False))))
% 5.54/5.71 Clause #111 (by superposition #[109, 87]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.54/5.71 Or (Eq (in a (skS.0 3 a_1)) False)
% 5.54/5.71 (Or (Eq (subset (skS.0 4 a_1 a_2) (setminus (skS.0 3 a_1) (skS.0 8 a_1 a_3 a_4))) False)
% 5.54/5.71 (Or (Eq (in a (skS.0 8 a_1 a_3 a_4)) False) (Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Eq False True))))
% 5.54/5.71 Clause #115 (by clausification #[101]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2)) True
% 5.54/5.71 Clause #116 (by clausification #[101]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1))) False
% 5.54/5.71 Clause #125 (by clausification #[102]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.54/5.71 Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) a_4)) True) (Eq (in (skS.0 10 a a_1 a_2 a_3) a_4) True)
% 5.54/5.71 Clause #126 (by superposition #[125, 116]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) True) (Eq True False)
% 5.54/5.71 Clause #128 (by clausification #[126]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) True
% 5.54/5.71 Clause #146 (by clausification #[111]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.54/5.71 Or (Eq (in a (skS.0 3 a_1)) False)
% 5.54/5.71 (Or (Eq (subset (skS.0 4 a_1 a_2) (setminus (skS.0 3 a_1) (skS.0 8 a_1 a_3 a_4))) False)
% 5.54/5.71 (Or (Eq (in a (skS.0 8 a_1 a_3 a_4)) False) (Eq (in a (skS.0 4 a_1 a_2)) False)))
% 5.54/5.71 Clause #147 (by superposition #[146, 100]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.54/5.71 Or (Eq (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_2 a_3))) False)
% 5.54/5.71 (Or (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 8 a a_2 a_3)) False)
% 5.54/5.71 (Or (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 4 a a_1)) False) (Eq False True)))
% 5.54/5.71 Clause #161 (by clausification #[147]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.54/5.71 Or (Eq (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_2 a_3))) False)
% 5.54/5.71 (Or (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 8 a a_2 a_3)) False)
% 5.54/5.71 (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 4 a a_1)) False))
% 5.54/5.71 Clause #162 (by superposition #[161, 96]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.54/5.71 Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_4 a_5)) False)
% 5.54/5.71 (Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_4)) False) (Eq False True))
% 5.54/5.71 Clause #163 (by clausification #[162]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.54/5.71 Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_4 a_5)) False)
% 5.54/5.71 (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_4)) False)
% 5.54/5.71 Clause #164 (by superposition #[163, 115]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) False) (Eq False True)
% 5.54/5.71 Clause #165 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) False
% 5.54/5.71 Clause #166 (by superposition #[165, 128]): Eq False True
% 5.54/5.71 Clause #167 (by clausification #[166]): False
% 5.54/5.71 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------