TSTP Solution File: SEU280+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 16:41:12 EDT 2023
% Result : Theorem 206.37s 206.65s
% Output : Proof 206.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n009.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 19:49:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 206.37/206.65 SZS status Theorem for theBenchmark.p
% 206.37/206.65 SZS output start Proof for theBenchmark.p
% 206.37/206.65 Clause #0 (by assumption #[]): Eq (Not (∀ (A : Iota), Exists fun B => ∀ (C : Iota), Iff (in C B) (And (in C A) (ordinal C)))) True
% 206.37/206.65 Clause #1 (by assumption #[]): Eq (∀ (A : Iota), And (epsilon_transitive A) (epsilon_connected A) → ordinal A) True
% 206.37/206.65 Clause #4 (by assumption #[]): Eq (∀ (A : Iota), ordinal A → And (epsilon_transitive A) (epsilon_connected A)) True
% 206.37/206.65 Clause #5 (by assumption #[]): Eq
% 206.37/206.65 (∀ (A : Iota),
% 206.37/206.65 (∀ (B C D : Iota), And (And (And (Eq B C) (ordinal C)) (Eq B D)) (ordinal D) → Eq C D) →
% 206.37/206.65 Exists fun B => ∀ (C : Iota), Iff (in C B) (Exists fun D => And (And (in D A) (Eq D C)) (ordinal C)))
% 206.37/206.65 True
% 206.37/206.65 Clause #6 (by clausification #[1]): ∀ (a : Iota), Eq (And (epsilon_transitive a) (epsilon_connected a) → ordinal a) True
% 206.37/206.65 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (And (epsilon_transitive a) (epsilon_connected a)) False) (Eq (ordinal a) True)
% 206.37/206.65 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (ordinal a) True) (Or (Eq (epsilon_transitive a) False) (Eq (epsilon_connected a) False))
% 206.37/206.65 Clause #13 (by clausification #[4]): ∀ (a : Iota), Eq (ordinal a → And (epsilon_transitive a) (epsilon_connected a)) True
% 206.37/206.65 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (ordinal a) False) (Eq (And (epsilon_transitive a) (epsilon_connected a)) True)
% 206.37/206.65 Clause #15 (by clausification #[14]): ∀ (a : Iota), Or (Eq (ordinal a) False) (Eq (epsilon_connected a) True)
% 206.37/206.65 Clause #16 (by clausification #[14]): ∀ (a : Iota), Or (Eq (ordinal a) False) (Eq (epsilon_transitive a) True)
% 206.37/206.65 Clause #22 (by clausification #[0]): Eq (∀ (A : Iota), Exists fun B => ∀ (C : Iota), Iff (in C B) (And (in C A) (ordinal C))) False
% 206.37/206.65 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Not (Exists fun B => ∀ (C : Iota), Iff (in C B) (And (in C (skS.0 1 a)) (ordinal C)))) True
% 206.37/206.65 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (Exists fun B => ∀ (C : Iota), Iff (in C B) (And (in C (skS.0 1 a)) (ordinal C))) False
% 206.37/206.65 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), Iff (in C a) (And (in C (skS.0 1 a_1)) (ordinal C))) False
% 206.37/206.65 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.65 Eq (Not (Iff (in (skS.0 2 a a_1 a_2) a) (And (in (skS.0 2 a a_1 a_2) (skS.0 1 a_1)) (ordinal (skS.0 2 a a_1 a_2)))))
% 206.37/206.65 True
% 206.37/206.65 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.65 Eq (Iff (in (skS.0 2 a a_1 a_2) a) (And (in (skS.0 2 a a_1 a_2) (skS.0 1 a_1)) (ordinal (skS.0 2 a a_1 a_2)))) False
% 206.37/206.65 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.65 Or (Eq (in (skS.0 2 a a_1 a_2) a) False)
% 206.37/206.65 (Eq (And (in (skS.0 2 a a_1 a_2) (skS.0 1 a_1)) (ordinal (skS.0 2 a a_1 a_2))) False)
% 206.37/206.65 Clause #29 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.65 Or (Eq (in (skS.0 2 a a_1 a_2) a) True)
% 206.37/206.65 (Eq (And (in (skS.0 2 a a_1 a_2) (skS.0 1 a_1)) (ordinal (skS.0 2 a a_1 a_2))) True)
% 206.37/206.65 Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.65 Or (Eq (in (skS.0 2 a a_1 a_2) a) False)
% 206.37/206.65 (Or (Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a_1)) False) (Eq (ordinal (skS.0 2 a a_1 a_2)) False))
% 206.37/206.65 Clause #36 (by clausification #[5]): ∀ (a : Iota),
% 206.37/206.65 Eq
% 206.37/206.65 ((∀ (B C D : Iota), And (And (And (Eq B C) (ordinal C)) (Eq B D)) (ordinal D) → Eq C D) →
% 206.37/206.65 Exists fun B => ∀ (C : Iota), Iff (in C B) (Exists fun D => And (And (in D a) (Eq D C)) (ordinal C)))
% 206.37/206.65 True
% 206.37/206.65 Clause #37 (by clausification #[36]): ∀ (a : Iota),
% 206.37/206.65 Or (Eq (∀ (B C D : Iota), And (And (And (Eq B C) (ordinal C)) (Eq B D)) (ordinal D) → Eq C D) False)
% 206.37/206.65 (Eq (Exists fun B => ∀ (C : Iota), Iff (in C B) (Exists fun D => And (And (in D a) (Eq D C)) (ordinal C))) True)
% 206.37/206.65 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 206.37/206.65 Or (Eq (Exists fun B => ∀ (C : Iota), Iff (in C B) (Exists fun D => And (And (in D a) (Eq D C)) (ordinal C))) True)
% 206.37/206.65 (Eq
% 206.37/206.65 (Not (∀ (C D : Iota), And (And (And (Eq (skS.0 3 a_1) C) (ordinal C)) (Eq (skS.0 3 a_1) D)) (ordinal D) → Eq C D))
% 206.37/206.65 True)
% 206.37/206.65 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.68 Or
% 206.37/206.68 (Eq (Not (∀ (C D : Iota), And (And (And (Eq (skS.0 3 a) C) (ordinal C)) (Eq (skS.0 3 a) D)) (ordinal D) → Eq C D))
% 206.37/206.68 True)
% 206.37/206.68 (Eq (∀ (C : Iota), Iff (in C (skS.0 4 a_1 a_2)) (Exists fun D => And (And (in D a_1) (Eq D C)) (ordinal C))) True)
% 206.37/206.68 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 206.37/206.68 Or (Eq (∀ (C : Iota), Iff (in C (skS.0 4 a a_1)) (Exists fun D => And (And (in D a) (Eq D C)) (ordinal C))) True)
% 206.37/206.68 (Eq (∀ (C D : Iota), And (And (And (Eq (skS.0 3 a_2) C) (ordinal C)) (Eq (skS.0 3 a_2) D)) (ordinal D) → Eq C D)
% 206.37/206.68 False)
% 206.37/206.68 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.37/206.68 Or (Eq (∀ (C D : Iota), And (And (And (Eq (skS.0 3 a) C) (ordinal C)) (Eq (skS.0 3 a) D)) (ordinal D) → Eq C D) False)
% 206.37/206.68 (Eq (Iff (in a_1 (skS.0 4 a_2 a_3)) (Exists fun D => And (And (in D a_2) (Eq D a_1)) (ordinal a_1))) True)
% 206.37/206.68 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.68 Or (Eq (Iff (in a (skS.0 4 a_1 a_2)) (Exists fun D => And (And (in D a_1) (Eq D a)) (ordinal a))) True)
% 206.37/206.68 (Eq
% 206.37/206.68 (Not
% 206.37/206.68 (∀ (D : Iota),
% 206.37/206.68 And (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4))) (Eq (skS.0 3 a_3) D))
% 206.37/206.68 (ordinal D) →
% 206.37/206.68 Eq (skS.0 5 a_3 a_4) D))
% 206.37/206.68 True)
% 206.37/206.68 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.68 Or
% 206.37/206.68 (Eq
% 206.37/206.68 (Not
% 206.37/206.68 (∀ (D : Iota),
% 206.37/206.68 And (And (And (Eq (skS.0 3 a) (skS.0 5 a a_1)) (ordinal (skS.0 5 a a_1))) (Eq (skS.0 3 a) D)) (ordinal D) →
% 206.37/206.68 Eq (skS.0 5 a a_1) D))
% 206.37/206.68 True)
% 206.37/206.68 (Or (Eq (in a_2 (skS.0 4 a_3 a_4)) True) (Eq (Exists fun D => And (And (in D a_3) (Eq D a_2)) (ordinal a_2)) False))
% 206.37/206.68 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.68 Or
% 206.37/206.68 (Eq
% 206.37/206.68 (Not
% 206.37/206.68 (∀ (D : Iota),
% 206.37/206.68 And (And (And (Eq (skS.0 3 a) (skS.0 5 a a_1)) (ordinal (skS.0 5 a a_1))) (Eq (skS.0 3 a) D)) (ordinal D) →
% 206.37/206.68 Eq (skS.0 5 a a_1) D))
% 206.37/206.68 True)
% 206.37/206.68 (Or (Eq (in a_2 (skS.0 4 a_3 a_4)) False) (Eq (Exists fun D => And (And (in D a_3) (Eq D a_2)) (ordinal a_2)) True))
% 206.37/206.68 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.68 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.68 (Or (Eq (Exists fun D => And (And (in D a_1) (Eq D a)) (ordinal a)) False)
% 206.37/206.68 (Eq
% 206.37/206.68 (∀ (D : Iota),
% 206.37/206.68 And (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4))) (Eq (skS.0 3 a_3) D))
% 206.37/206.68 (ordinal D) →
% 206.37/206.68 Eq (skS.0 5 a_3 a_4) D)
% 206.37/206.68 False))
% 206.37/206.68 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.68 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.68 (Or
% 206.37/206.68 (Eq
% 206.37/206.68 (∀ (D : Iota),
% 206.37/206.68 And (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4))) (Eq (skS.0 3 a_3) D))
% 206.37/206.68 (ordinal D) →
% 206.37/206.68 Eq (skS.0 5 a_3 a_4) D)
% 206.37/206.68 False)
% 206.37/206.68 (Eq (And (And (in a_5 a_1) (Eq a_5 a)) (ordinal a)) False))
% 206.37/206.68 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.68 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.68 (Or (Eq (And (And (in a_3 a_1) (Eq a_3 a)) (ordinal a)) False)
% 206.37/206.68 (Eq
% 206.37/206.68 (Not
% 206.37/206.68 (And
% 206.37/206.68 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.68 (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.68 (ordinal (skS.0 6 a_4 a_5 a_6)) →
% 206.37/206.68 Eq (skS.0 5 a_4 a_5) (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.68 True))
% 206.37/206.68 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.68 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.68 (Or
% 206.37/206.68 (Eq
% 206.37/206.68 (Not
% 206.37/206.68 (And
% 206.37/206.68 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.68 (Eq (skS.0 3 a_3) (skS.0 6 a_3 a_4 a_5)))
% 206.37/206.68 (ordinal (skS.0 6 a_3 a_4 a_5)) →
% 206.37/206.68 Eq (skS.0 5 a_3 a_4) (skS.0 6 a_3 a_4 a_5)))
% 206.37/206.68 True)
% 206.37/206.68 (Or (Eq (And (in a_6 a_1) (Eq a_6 a)) False) (Eq (ordinal a) False)))
% 206.37/206.68 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.68 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.68 (Or (Eq (And (in a_3 a_1) (Eq a_3 a)) False)
% 206.37/206.71 (Or (Eq (ordinal a) False)
% 206.37/206.71 (Eq
% 206.37/206.71 (And
% 206.37/206.71 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.71 (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.71 (ordinal (skS.0 6 a_4 a_5 a_6)) →
% 206.37/206.71 Eq (skS.0 5 a_4 a_5) (skS.0 6 a_4 a_5 a_6))
% 206.37/206.71 False)))
% 206.37/206.71 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.71 (Or (Eq (ordinal a) False)
% 206.37/206.71 (Or
% 206.37/206.71 (Eq
% 206.37/206.71 (And
% 206.37/206.71 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.71 (Eq (skS.0 3 a_3) (skS.0 6 a_3 a_4 a_5)))
% 206.37/206.71 (ordinal (skS.0 6 a_3 a_4 a_5)) →
% 206.37/206.71 Eq (skS.0 5 a_3 a_4) (skS.0 6 a_3 a_4 a_5))
% 206.37/206.71 False)
% 206.37/206.71 (Or (Eq (in a_6 a_1) False) (Eq (Eq a_6 a) False))))
% 206.37/206.71 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.71 (Or (Eq (ordinal a) False)
% 206.37/206.71 (Or (Eq (in a_3 a_1) False)
% 206.37/206.71 (Or (Eq (Eq a_3 a) False)
% 206.37/206.71 (Eq
% 206.37/206.71 (And
% 206.37/206.71 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.71 (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.71 (ordinal (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.71 True))))
% 206.37/206.71 Clause #52 (by clausification #[50]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.71 (Or (Eq (ordinal a) False)
% 206.37/206.71 (Or (Eq (in a_3 a_1) False) (Or (Eq (Eq a_3 a) False) (Eq (Eq (skS.0 5 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) False))))
% 206.37/206.71 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.71 (Or (Eq (ordinal a) False)
% 206.37/206.71 (Or (Eq (in a_3 a_1) False)
% 206.37/206.71 (Or
% 206.37/206.71 (Eq
% 206.37/206.71 (And
% 206.37/206.71 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.71 (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.71 (ordinal (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.71 True)
% 206.37/206.71 (Ne a_3 a))))
% 206.37/206.71 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.71 (Or (Eq (ordinal a) False)
% 206.37/206.71 (Or (Eq (in a_3 a_1) False)
% 206.37/206.71 (Or (Ne a_3 a)
% 206.37/206.71 (Eq
% 206.37/206.71 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.71 (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)))
% 206.37/206.71 True))))
% 206.37/206.71 Clause #58 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 2 a a_1 a_2) a) True) (Eq (ordinal (skS.0 2 a a_1 a_2)) True)
% 206.37/206.71 Clause #59 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 2 a a_1 a_2) a) True) (Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a_1)) True)
% 206.37/206.71 Clause #76 (by clausification #[44]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.71 (Or (Eq (Exists fun D => And (And (in D a_1) (Eq D a)) (ordinal a)) True)
% 206.37/206.71 (Eq
% 206.37/206.71 (∀ (D : Iota),
% 206.37/206.71 And (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4))) (Eq (skS.0 3 a_3) D))
% 206.37/206.71 (ordinal D) →
% 206.37/206.71 Eq (skS.0 5 a_3 a_4) D)
% 206.37/206.71 False))
% 206.37/206.71 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.71 (Or
% 206.37/206.71 (Eq
% 206.37/206.71 (∀ (D : Iota),
% 206.37/206.71 And (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4))) (Eq (skS.0 3 a_3) D))
% 206.37/206.71 (ordinal D) →
% 206.37/206.71 Eq (skS.0 5 a_3 a_4) D)
% 206.37/206.71 False)
% 206.37/206.71 (Eq (And (And (in (skS.0 7 a_1 a a_5) a_1) (Eq (skS.0 7 a_1 a a_5) a)) (ordinal a)) True))
% 206.37/206.71 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.71 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.71 (Or (Eq (And (And (in (skS.0 7 a_1 a a_3) a_1) (Eq (skS.0 7 a_1 a a_3) a)) (ordinal a)) True)
% 206.37/206.71 (Eq
% 206.37/206.71 (Not
% 206.37/206.71 (And
% 206.37/206.71 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.71 (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.71 (ordinal (skS.0 8 a_4 a_5 a_6)) →
% 206.37/206.71 Eq (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.74 True))
% 206.37/206.74 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.74 (Or
% 206.37/206.74 (Eq
% 206.37/206.74 (Not
% 206.37/206.74 (And
% 206.37/206.74 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.74 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 (ordinal (skS.0 8 a_3 a_4 a_5)) →
% 206.37/206.74 Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 True)
% 206.37/206.74 (Eq (ordinal a) True))
% 206.37/206.74 Clause #80 (by clausification #[78]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.74 (Or
% 206.37/206.74 (Eq
% 206.37/206.74 (Not
% 206.37/206.74 (And
% 206.37/206.74 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.74 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 (ordinal (skS.0 8 a_3 a_4 a_5)) →
% 206.37/206.74 Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 True)
% 206.37/206.74 (Eq (And (in (skS.0 7 a_1 a a_6) a_1) (Eq (skS.0 7 a_1 a a_6) a)) True))
% 206.37/206.74 Clause #81 (by clausification #[79]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.74 (Or (Eq (ordinal a) True)
% 206.37/206.74 (Eq
% 206.37/206.74 (And
% 206.37/206.74 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.74 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 (ordinal (skS.0 8 a_3 a_4 a_5)) →
% 206.37/206.74 Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5))
% 206.37/206.74 False))
% 206.37/206.74 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.74 (Or (Eq (ordinal a) True)
% 206.37/206.74 (Eq
% 206.37/206.74 (And
% 206.37/206.74 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.74 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 (ordinal (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 True))
% 206.37/206.74 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.74 (Or (Eq (ordinal a) True) (Eq (Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5)) False))
% 206.37/206.74 Clause #85 (by clausification #[82]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.74 (Or (Eq (ordinal a) True)
% 206.37/206.74 (Eq
% 206.37/206.74 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.74 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 True))
% 206.37/206.74 Clause #90 (by clausification #[83]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (ordinal a) True) (Ne (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.74 Clause #91 (by superposition #[90, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.74 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.74 (Or (Ne (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6))
% 206.37/206.74 (Or (Eq False True) (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)))
% 206.37/206.74 Clause #94 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.74 (Or (Eq (ordinal a) False)
% 206.37/206.74 (Or (Eq (in a_3 a_1) False) (Or (Eq (Eq (skS.0 5 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) False) (Ne a_3 a))))
% 206.37/206.74 Clause #95 (by clausification #[94]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.74 (Or (Eq (ordinal a) False)
% 206.37/206.74 (Or (Eq (in a_3 a_1) False) (Or (Ne a_3 a) (Ne (skS.0 5 a_4 a_5) (skS.0 6 a_4 a_5 a_6)))))
% 206.37/206.74 Clause #96 (by destructive equality resolution #[95]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.74 (Or (Eq (ordinal a) False) (Or (Eq (in a a_1) False) (Ne (skS.0 5 a_3 a_4) (skS.0 6 a_3 a_4 a_5))))
% 206.37/206.74 Clause #117 (by clausification #[55]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.74 (Or (Eq (ordinal a) False)
% 206.37/206.74 (Or (Eq (in a_3 a_1) False) (Or (Ne a_3 a) (Eq (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)) True))))
% 206.37/206.74 Clause #118 (by clausification #[55]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.74 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.74 (Or (Eq (ordinal a) False)
% 206.37/206.74 (Or (Eq (in a_3 a_1) False)
% 206.37/206.74 (Or (Ne a_3 a) (Eq (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5))) True))))
% 206.37/206.74 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.76 (Or (Eq (ordinal a) False) (Or (Eq (in a_3 a_1) False) (Or (Ne a_3 a) (Eq (skS.0 3 a_4) (skS.0 6 a_4 a_5 a_6)))))
% 206.37/206.76 Clause #120 (by destructive equality resolution #[119]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.76 (Or (Eq (ordinal a) False) (Or (Eq (in a a_1) False) (Eq (skS.0 3 a_3) (skS.0 6 a_3 a_4 a_5))))
% 206.37/206.76 Clause #139 (by clausification #[80]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or (Eq (And (in (skS.0 7 a_1 a a_3) a_1) (Eq (skS.0 7 a_1 a a_3) a)) True)
% 206.37/206.76 (Eq
% 206.37/206.76 (And
% 206.37/206.76 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.76 (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.76 (ordinal (skS.0 8 a_4 a_5 a_6)) →
% 206.37/206.76 Eq (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6))
% 206.37/206.76 False))
% 206.37/206.76 Clause #140 (by clausification #[139]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or
% 206.37/206.76 (Eq
% 206.37/206.76 (And
% 206.37/206.76 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.76 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.76 (ordinal (skS.0 8 a_3 a_4 a_5)) →
% 206.37/206.76 Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5))
% 206.37/206.76 False)
% 206.37/206.76 (Eq (Eq (skS.0 7 a_1 a a_6) a) True))
% 206.37/206.76 Clause #141 (by clausification #[139]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or
% 206.37/206.76 (Eq
% 206.37/206.76 (And
% 206.37/206.76 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.76 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.76 (ordinal (skS.0 8 a_3 a_4 a_5)) →
% 206.37/206.76 Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5))
% 206.37/206.76 False)
% 206.37/206.76 (Eq (in (skS.0 7 a_1 a a_6) a_1) True))
% 206.37/206.76 Clause #142 (by clausification #[140]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or (Eq (Eq (skS.0 7 a_1 a a_3) a) True)
% 206.37/206.76 (Eq
% 206.37/206.76 (And
% 206.37/206.76 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.76 (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.76 (ordinal (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.76 True))
% 206.37/206.76 Clause #143 (by clausification #[140]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or (Eq (Eq (skS.0 7 a_1 a a_3) a) True) (Eq (Eq (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6)) False))
% 206.37/206.76 Clause #144 (by clausification #[142]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or
% 206.37/206.76 (Eq
% 206.37/206.76 (And
% 206.37/206.76 (And (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4)))
% 206.37/206.76 (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.76 (ordinal (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.76 True)
% 206.37/206.76 (Eq (skS.0 7 a_1 a a_6) a))
% 206.37/206.76 Clause #146 (by clausification #[144]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or (Eq (skS.0 7 a_1 a a_3) a)
% 206.37/206.76 (Eq
% 206.37/206.76 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.76 (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.76 True))
% 206.37/206.76 Clause #165 (by clausification #[85]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (ordinal a) True) (Eq (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)) True))
% 206.37/206.76 Clause #166 (by clausification #[85]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.76 (Or (Eq (ordinal a) True) (Eq (And (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) (ordinal (skS.0 5 a_3 a_4))) True))
% 206.37/206.76 Clause #167 (by clausification #[165]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (ordinal a) True) (Eq (skS.0 3 a_3) (skS.0 8 a_3 a_4 a_5)))
% 206.37/206.76 Clause #168 (by superposition #[167, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.76 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.76 (Or (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6))
% 206.37/206.76 (Or (Eq False True) (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)))
% 206.37/206.76 Clause #172 (by clausification #[166]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.76 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (ordinal a) True) (Eq (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)) True))
% 206.37/206.79 Clause #175 (by clausification #[172]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (ordinal a) True) (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4)))
% 206.37/206.79 Clause #176 (by superposition #[175, 58]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.79 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.79 (Or (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (Or (Eq False True) (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)))
% 206.37/206.79 Clause #183 (by clausification #[143]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (Eq (skS.0 5 a_3 a_4) (skS.0 8 a_3 a_4 a_5)) False) (Eq (skS.0 7 a_1 a a_6) a))
% 206.37/206.79 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (skS.0 7 a_1 a a_3) a) (Ne (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.79 Clause #187 (by clausification #[141]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True)
% 206.37/206.79 (Eq
% 206.37/206.79 (And
% 206.37/206.79 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.79 (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.79 (ordinal (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.79 True))
% 206.37/206.79 Clause #188 (by clausification #[141]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Eq (Eq (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6)) False))
% 206.37/206.79 Clause #190 (by clausification #[187]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True)
% 206.37/206.79 (Eq
% 206.37/206.79 (And (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5)))
% 206.37/206.79 (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.79 True))
% 206.37/206.79 Clause #193 (by clausification #[188]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Ne (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.79 Clause #196 (by clausification #[91]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.79 (Or (Ne (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6)) (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True))
% 206.37/206.79 Clause #197 (by eliminate duplicate literals #[196]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Ne (skS.0 5 a_4 a_5) (skS.0 8 a_4 a_5 a_6))
% 206.37/206.79 Clause #199 (by clausification #[118]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.79 (Or (Eq (ordinal a) False)
% 206.37/206.79 (Or (Eq (in a_3 a_1) False) (Or (Ne a_3 a) (Eq (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) True))))
% 206.37/206.79 Clause #209 (by clausification #[199]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.79 (Or (Eq (ordinal a) False) (Or (Eq (in a_3 a_1) False) (Or (Ne a_3 a) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)))))
% 206.37/206.79 Clause #210 (by destructive equality resolution #[209]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.37/206.79 (Or (Eq (ordinal a) False) (Or (Eq (in a a_1) False) (Eq (skS.0 3 a_3) (skS.0 5 a_3 a_4))))
% 206.37/206.79 Clause #301 (by clausification #[176]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.79 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.79 (Or (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True))
% 206.37/206.79 Clause #302 (by eliminate duplicate literals #[301]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.79 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5))
% 206.37/206.79 Clause #490 (by clausification #[146]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (skS.0 7 a_1 a a_3) a) (Eq (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)) True))
% 206.37/206.79 Clause #491 (by clausification #[146]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.79 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.37/206.79 (Or (Eq (skS.0 7 a_1 a a_3) a) (Eq (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5))) True))
% 206.37/206.82 Clause #492 (by clausification #[490]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (skS.0 7 a_1 a a_3) a) (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.37/206.82 Clause #524 (by clausification #[491]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.82 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (skS.0 7 a_1 a a_3) a) (Eq (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) True))
% 206.37/206.82 Clause #528 (by clausification #[524]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.37/206.82 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (skS.0 7 a_1 a a_3) a) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)))
% 206.37/206.82 Clause #536 (by clausification #[168]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Or (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)) (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True))
% 206.37/206.82 Clause #537 (by eliminate duplicate literals #[536]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6))
% 206.37/206.82 Clause #538 (by superposition #[537, 15]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (skS.0 3 a) (skS.0 8 a a_1 a_2))
% 206.37/206.82 (Or (Eq True False) (Eq (epsilon_connected (skS.0 2 (skS.0 4 a_3 a_4) a_5 a_6)) True))
% 206.37/206.82 Clause #539 (by superposition #[537, 16]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (skS.0 3 a) (skS.0 8 a a_1 a_2))
% 206.37/206.82 (Or (Eq True False) (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a_3 a_4) a_5 a_6)) True))
% 206.37/206.82 Clause #554 (by clausification #[539]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (skS.0 3 a) (skS.0 8 a a_1 a_2)) (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a_3 a_4) a_5 a_6)) True)
% 206.37/206.82 Clause #555 (by superposition #[554, 197]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 206.37/206.82 Or (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Or (Eq (ordinal (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True) (Ne (skS.0 5 a_8 a_9) (skS.0 3 a_8)))
% 206.37/206.82 Clause #565 (by clausification #[538]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.37/206.82 Or (Eq (skS.0 3 a) (skS.0 8 a a_1 a_2)) (Eq (epsilon_connected (skS.0 2 (skS.0 4 a_3 a_4) a_5 a_6)) True)
% 206.37/206.82 Clause #566 (by superposition #[565, 197]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 206.37/206.82 Or (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Or (Eq (ordinal (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True) (Ne (skS.0 5 a_8 a_9) (skS.0 3 a_8)))
% 206.37/206.82 Clause #575 (by forward contextual literal cutting #[566, 302]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.37/206.82 Or (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Eq (ordinal (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True)
% 206.37/206.82 Clause #576 (by superposition #[575, 15]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.37/206.82 Or (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Or (Eq True False) (Eq (epsilon_connected (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True))
% 206.37/206.82 Clause #589 (by clausification #[576]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.37/206.82 Or (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Eq (epsilon_connected (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True)
% 206.37/206.82 Clause #590 (by equality factoring #[589]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne True True) (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 Clause #591 (by clausification #[590]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.37/206.82 Or (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Or (Eq True False) (Eq True False))
% 206.37/206.82 Clause #593 (by clausification #[591]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Eq True False)
% 206.37/206.82 Clause #594 (by clausification #[593]): ∀ (a a_1 a_2 a_3 : Iota), Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True
% 206.37/206.82 Clause #595 (by forward contextual literal cutting #[555, 302]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.37/206.82 Or (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Eq (ordinal (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True)
% 206.37/206.82 Clause #598 (by superposition #[595, 16]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.37/206.82 Or (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.37/206.82 (Or (Eq True False) (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True))
% 206.62/206.85 Clause #604 (by clausification #[598]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.62/206.85 Or (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.62/206.85 (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a_4 a_5) a_6 a_7)) True)
% 206.62/206.85 Clause #606 (by equality factoring #[604]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne True True) (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.62/206.85 Clause #610 (by clausification #[606]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.62/206.85 Or (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Or (Eq True False) (Eq True False))
% 206.62/206.85 Clause #612 (by clausification #[610]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Eq True False)
% 206.62/206.85 Clause #613 (by clausification #[612]): ∀ (a a_1 a_2 a_3 : Iota), Eq (epsilon_transitive (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True
% 206.62/206.85 Clause #614 (by superposition #[613, 8]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.62/206.85 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.62/206.85 (Or (Eq True False) (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) False))
% 206.62/206.85 Clause #615 (by clausification #[614]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.62/206.85 Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True)
% 206.62/206.85 (Eq (epsilon_connected (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) False)
% 206.62/206.85 Clause #616 (by superposition #[615, 594]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True) (Eq False True)
% 206.62/206.85 Clause #617 (by clausification #[616]): ∀ (a a_1 a_2 a_3 : Iota), Eq (ordinal (skS.0 2 (skS.0 4 a a_1) a_2 a_3)) True
% 206.62/206.85 Clause #625 (by superposition #[617, 210]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.62/206.85 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a_4 a_5)) True)
% 206.62/206.85 (Or (Eq True False) (Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) a_4) False) (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7))))
% 206.62/206.85 Clause #670 (by clausification #[190]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.62/206.85 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.62/206.85 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Eq (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)) True))
% 206.62/206.85 Clause #671 (by clausification #[190]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.62/206.85 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.62/206.85 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True)
% 206.62/206.85 (Eq (And (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (ordinal (skS.0 5 a_4 a_5))) True))
% 206.62/206.85 Clause #672 (by clausification #[670]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.62/206.85 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.62/206.85 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Eq (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.62/206.85 Clause #676 (by clausification #[671]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.62/206.85 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.62/206.85 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Eq (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) True))
% 206.62/206.85 Clause #679 (by clausification #[676]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.62/206.85 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.62/206.85 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)))
% 206.62/206.85 Clause #720 (by clausification #[625]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.62/206.85 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a_4 a_5)) True)
% 206.62/206.85 (Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) a_4) False) (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7)))
% 206.62/206.85 Clause #721 (by superposition #[720, 59]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.62/206.85 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 (skS.0 1 a_2) a_4)) True)
% 206.62/206.85 (Or (Eq (skS.0 3 a_5) (skS.0 5 a_5 a_6))
% 206.62/206.85 (Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a a_1)) True) (Eq False True)))
% 206.62/206.85 Clause #5406 (by clausification #[721]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.62/206.85 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 (skS.0 1 a_2) a_4)) True)
% 206.62/206.85 (Or (Eq (skS.0 3 a_5) (skS.0 5 a_5 a_6)) (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a a_1)) True))
% 206.62/206.85 Clause #5472 (by equality factoring #[5406]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.62/206.85 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.62/206.85 (Or (Ne True True) (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 4 (skS.0 1 a_2) a_3)) True))
% 206.62/206.85 Clause #5473 (by clausification #[5472]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 4 (skS.0 1 a_2) a_3)) True)
% 206.68/206.88 (Or (Eq True False) (Eq True False)))
% 206.68/206.88 Clause #5475 (by clausification #[5473]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 4 (skS.0 1 a_2) a_3)) True) (Eq True False))
% 206.68/206.88 Clause #5476 (by clausification #[5475]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 4 (skS.0 1 a_2) a_3)) True)
% 206.68/206.88 Clause #5510 (by superposition #[5476, 528]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq True False)
% 206.68/206.88 (Or
% 206.68/206.88 (Eq (skS.0 7 (skS.0 1 a_2) (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) a_5)
% 206.68/206.88 (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4))
% 206.68/206.88 (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7))))
% 206.68/206.88 Clause #5513 (by superposition #[5476, 679]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq True False)
% 206.68/206.88 (Or (Eq (in (skS.0 7 (skS.0 1 a_2) (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) a_5) (skS.0 1 a_2)) True)
% 206.68/206.88 (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7))))
% 206.68/206.88 Clause #5514 (by superposition #[5476, 30]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq True False)
% 206.68/206.88 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 1 a_2)) False)
% 206.68/206.88 (Eq (ordinal (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4)) False)))
% 206.68/206.88 Clause #5608 (by clausification #[5514]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 1 a_2)) False)
% 206.68/206.88 (Eq (ordinal (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4)) False))
% 206.68/206.88 Clause #5609 (by forward demodulation #[5608, 617]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 1 a_2)) False) (Eq True False))
% 206.68/206.88 Clause #5610 (by clausification #[5609]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1)) (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) (skS.0 1 a_2)) False)
% 206.68/206.88 Clause #5903 (by clausification #[5513]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (in (skS.0 7 (skS.0 1 a_2) (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) a_5) (skS.0 1 a_2)) True)
% 206.68/206.88 (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7)))
% 206.68/206.88 Clause #5961 (by equality factoring #[5903]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.88 Or (Eq (in (skS.0 7 (skS.0 1 a) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) a_3) (skS.0 1 a)) True)
% 206.68/206.88 (Or (Ne (skS.0 3 a_4) (skS.0 3 a_4)) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)))
% 206.68/206.88 Clause #5962 (by eliminate resolved literals #[5961]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.88 Or (Eq (in (skS.0 7 (skS.0 1 a) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) a_3) (skS.0 1 a)) True)
% 206.68/206.88 (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5))
% 206.68/206.88 Clause #15805 (by clausification #[5510]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or
% 206.68/206.88 (Eq (skS.0 7 (skS.0 1 a_2) (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4) a_5)
% 206.68/206.88 (skS.0 2 (skS.0 4 (skS.0 1 a_2) a_3) a_2 a_4))
% 206.68/206.88 (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7)))
% 206.68/206.88 Clause #15823 (by superposition #[15805, 5962]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3))
% 206.68/206.88 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a_4) a_5) a_4 a_6) (skS.0 1 a_4)) True)
% 206.68/206.88 (Eq (skS.0 3 a_7) (skS.0 5 a_7 a_8))))
% 206.68/206.88 Clause #15847 (by superposition #[15823, 5610]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3))
% 206.68/206.88 (Or (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (Or (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7)) (Eq True False))))
% 206.68/206.88 Clause #15867 (by clausification #[15847]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 206.68/206.88 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.88 (Or (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3))
% 206.68/206.90 (Or (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)) (Eq (skS.0 3 a_6) (skS.0 5 a_6 a_7))))
% 206.68/206.90 Clause #15875 (by equality factoring #[15867]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.90 Or (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.90 (Or (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3)) (Or (Ne (skS.0 3 a_4) (skS.0 3 a_4)) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5))))
% 206.68/206.90 Clause #15877 (by eliminate resolved literals #[15875]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.90 Or (Eq (skS.0 3 a) (skS.0 5 a a_1)) (Or (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3)) (Eq (skS.0 3 a_4) (skS.0 5 a_4 a_5)))
% 206.68/206.90 Clause #15885 (by equality factoring #[15877]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.68/206.90 Or (Eq (skS.0 3 a) (skS.0 5 a a_1)) (Or (Ne (skS.0 3 a_2) (skS.0 3 a_2)) (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3)))
% 206.68/206.90 Clause #15887 (by eliminate resolved literals #[15885]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (skS.0 3 a) (skS.0 5 a a_1)) (Eq (skS.0 3 a_2) (skS.0 5 a_2 a_3))
% 206.68/206.90 Clause #15895 (by equality factoring #[15887]): ∀ (a a_1 : Iota), Or (Ne (skS.0 3 a) (skS.0 3 a)) (Eq (skS.0 3 a) (skS.0 5 a a_1))
% 206.68/206.90 Clause #15896 (by eliminate resolved literals #[15895]): ∀ (a a_1 : Iota), Eq (skS.0 3 a) (skS.0 5 a a_1)
% 206.68/206.90 Clause #15898 (by backward demodulation #[15896, 96]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.90 Or (Eq (in a (skS.0 4 a_1 a_2)) True)
% 206.68/206.90 (Or (Eq (ordinal a) False) (Or (Eq (in a a_1) False) (Ne (skS.0 3 a_3) (skS.0 6 a_3 a_4 a_5))))
% 206.68/206.90 Clause #15900 (by backward demodulation #[15896, 184]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.68/206.90 Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Or (Eq (skS.0 7 a_1 a a_3) a) (Ne (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.68/206.90 Clause #15901 (by backward demodulation #[15896, 193]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 206.68/206.90 Or (Eq (in a (skS.0 4 a_1 a_2)) False)
% 206.68/206.90 (Or (Eq (in (skS.0 7 a_1 a a_3) a_1) True) (Ne (skS.0 3 a_4) (skS.0 8 a_4 a_5 a_6)))
% 206.68/206.90 Clause #15944 (by forward contextual literal cutting #[15898, 120]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 4 a_1 a_2)) True) (Or (Eq (ordinal a) False) (Eq (in a a_1) False))
% 206.68/206.90 Clause #15946 (by superposition #[15944, 617]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.90 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a_4 a_5)) True)
% 206.68/206.90 (Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) a_4) False) (Eq False True))
% 206.68/206.90 Clause #15968 (by forward contextual literal cutting #[15900, 492]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Eq (skS.0 7 a_1 a a_3) a)
% 206.68/206.90 Clause #16003 (by forward contextual literal cutting #[15901, 672]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Eq (in (skS.0 7 a_1 a a_3) a_1) True)
% 206.68/206.90 Clause #16041 (by clausification #[15946]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 206.68/206.90 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a_4 a_5)) True)
% 206.68/206.90 (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) a_4) False)
% 206.68/206.90 Clause #16042 (by superposition #[16041, 59]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.90 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 (skS.0 1 a_2) a_4)) True)
% 206.68/206.90 (Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a a_1)) True) (Eq False True))
% 206.68/206.90 Clause #16153 (by clausification #[16042]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 206.68/206.90 Or (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 (skS.0 1 a_2) a_4)) True)
% 206.68/206.90 (Eq (in (skS.0 2 (skS.0 4 a a_1) a_2 a_3) (skS.0 4 a a_1)) True)
% 206.68/206.90 Clause #16165 (by equality factoring #[16153]): ∀ (a a_1 a_2 : Iota),
% 206.68/206.90 Or (Ne True True) (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 4 (skS.0 1 a) a_1)) True)
% 206.68/206.90 Clause #16167 (by clausification #[16165]): ∀ (a a_1 a_2 : Iota),
% 206.68/206.90 Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 4 (skS.0 1 a) a_1)) True)
% 206.68/206.90 (Or (Eq True False) (Eq True False))
% 206.68/206.90 Clause #16169 (by clausification #[16167]): ∀ (a a_1 a_2 : Iota),
% 206.68/206.90 Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 4 (skS.0 1 a) a_1)) True) (Eq True False)
% 206.68/206.90 Clause #16170 (by clausification #[16169]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 4 (skS.0 1 a) a_1)) True
% 206.68/206.90 Clause #16172 (by superposition #[16170, 15968]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.68/206.90 Or (Eq True False)
% 206.68/206.90 (Eq (skS.0 7 (skS.0 1 a) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) a_3) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2))
% 206.88/207.11 Clause #16173 (by superposition #[16170, 16003]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.88/207.11 Or (Eq True False) (Eq (in (skS.0 7 (skS.0 1 a) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) a_3) (skS.0 1 a)) True)
% 206.88/207.11 Clause #16174 (by superposition #[16170, 30]): ∀ (a a_1 a_2 : Iota),
% 206.88/207.11 Or (Eq True False)
% 206.88/207.11 (Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 1 a)) False)
% 206.88/207.11 (Eq (ordinal (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2)) False))
% 206.88/207.11 Clause #16179 (by clausification #[16173]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 7 (skS.0 1 a) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) a_3) (skS.0 1 a)) True
% 206.88/207.11 Clause #16203 (by clausification #[16174]): ∀ (a a_1 a_2 : Iota),
% 206.88/207.11 Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 1 a)) False)
% 206.88/207.11 (Eq (ordinal (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2)) False)
% 206.88/207.11 Clause #16204 (by forward demodulation #[16203, 617]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 1 a)) False) (Eq True False)
% 206.88/207.11 Clause #16205 (by clausification #[16204]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 1 a)) False
% 206.88/207.11 Clause #16214 (by clausification #[16172]): ∀ (a a_1 a_2 a_3 : Iota),
% 206.88/207.11 Eq (skS.0 7 (skS.0 1 a) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) a_3) (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2)
% 206.88/207.11 Clause #16215 (by backward demodulation #[16214, 16179]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 (skS.0 4 (skS.0 1 a) a_1) a a_2) (skS.0 1 a)) True
% 206.88/207.11 Clause #16219 (by superposition #[16215, 16205]): Eq True False
% 206.88/207.11 Clause #16222 (by clausification #[16219]): False
% 206.88/207.11 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------