TSTP Solution File: SYN353+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 : Fri Sep 1 02:11:22 EDT 2023
% Result : Theorem 116.91s 117.12s
% Output : Proof 117.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n008.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 : Sat Aug 26 17:29:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 116.91/117.12 SZS status Theorem for theBenchmark.p
% 116.91/117.12 SZS output start Proof for theBenchmark.p
% 116.91/117.12 Clause #0 (by assumption #[]): Eq
% 116.91/117.12 (Not
% 116.91/117.12 (∀ (X : Iota),
% 116.91/117.12 Exists fun Y1 =>
% 116.91/117.12 Exists fun Y2 =>
% 116.91/117.12 Exists fun Y3 =>
% 116.91/117.12 ∀ (Z : Iota),
% 116.91/117.12 (big_f Y1 Y2 Y3 → big_f X X Z → Or (big_f Y2 Y3 Y1) (big_f Y3 Y1 Y2)) →
% 116.91/117.12 Iff (big_f Y3 Y1 Y2 → And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y2 Y1 Z) →
% 116.91/117.12 Iff (big_f Y2 Y3 Y1 → And (big_f Y1 Y2 Y3) (big_f Y3 Y1 Y2)) (big_f Y1 Z Y2) →
% 116.91/117.12 Iff ((big_f Y3 Y1 Y2 → Not (big_f Y2 Y3 Y1)) → big_f Y1 Y2 Y3) (big_f Z Y2 Y1) →
% 116.91/117.12 Iff (And (And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y3 Y1 Y2)) (big_f Z Z Z)))
% 116.91/117.12 True
% 116.91/117.12 Clause #1 (by clausification #[0]): Eq
% 116.91/117.12 (∀ (X : Iota),
% 116.91/117.12 Exists fun Y1 =>
% 116.91/117.12 Exists fun Y2 =>
% 116.91/117.12 Exists fun Y3 =>
% 116.91/117.12 ∀ (Z : Iota),
% 116.91/117.12 (big_f Y1 Y2 Y3 → big_f X X Z → Or (big_f Y2 Y3 Y1) (big_f Y3 Y1 Y2)) →
% 116.91/117.12 Iff (big_f Y3 Y1 Y2 → And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y2 Y1 Z) →
% 116.91/117.12 Iff (big_f Y2 Y3 Y1 → And (big_f Y1 Y2 Y3) (big_f Y3 Y1 Y2)) (big_f Y1 Z Y2) →
% 116.91/117.12 Iff ((big_f Y3 Y1 Y2 → Not (big_f Y2 Y3 Y1)) → big_f Y1 Y2 Y3) (big_f Z Y2 Y1) →
% 116.91/117.12 Iff (And (And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y3 Y1 Y2)) (big_f Z Z Z))
% 116.91/117.12 False
% 116.91/117.12 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 116.91/117.12 Eq
% 116.91/117.12 (Not
% 116.91/117.12 (Exists fun Y1 =>
% 116.91/117.12 Exists fun Y2 =>
% 116.91/117.12 Exists fun Y3 =>
% 116.91/117.12 ∀ (Z : Iota),
% 116.91/117.12 (big_f Y1 Y2 Y3 → big_f (skS.0 0 a) (skS.0 0 a) Z → Or (big_f Y2 Y3 Y1) (big_f Y3 Y1 Y2)) →
% 116.91/117.12 Iff (big_f Y3 Y1 Y2 → And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y2 Y1 Z) →
% 116.91/117.12 Iff (big_f Y2 Y3 Y1 → And (big_f Y1 Y2 Y3) (big_f Y3 Y1 Y2)) (big_f Y1 Z Y2) →
% 116.91/117.12 Iff ((big_f Y3 Y1 Y2 → Not (big_f Y2 Y3 Y1)) → big_f Y1 Y2 Y3) (big_f Z Y2 Y1) →
% 116.91/117.12 Iff (And (And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y3 Y1 Y2)) (big_f Z Z Z)))
% 116.91/117.12 True
% 116.91/117.12 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 116.91/117.12 Eq
% 116.91/117.12 (Exists fun Y1 =>
% 116.91/117.12 Exists fun Y2 =>
% 116.91/117.12 Exists fun Y3 =>
% 116.91/117.12 ∀ (Z : Iota),
% 116.91/117.12 (big_f Y1 Y2 Y3 → big_f (skS.0 0 a) (skS.0 0 a) Z → Or (big_f Y2 Y3 Y1) (big_f Y3 Y1 Y2)) →
% 116.91/117.12 Iff (big_f Y3 Y1 Y2 → And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y2 Y1 Z) →
% 116.91/117.12 Iff (big_f Y2 Y3 Y1 → And (big_f Y1 Y2 Y3) (big_f Y3 Y1 Y2)) (big_f Y1 Z Y2) →
% 116.91/117.12 Iff ((big_f Y3 Y1 Y2 → Not (big_f Y2 Y3 Y1)) → big_f Y1 Y2 Y3) (big_f Z Y2 Y1) →
% 116.91/117.12 Iff (And (And (big_f Y1 Y2 Y3) (big_f Y2 Y3 Y1)) (big_f Y3 Y1 Y2)) (big_f Z Z Z))
% 116.91/117.12 False
% 116.91/117.12 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 116.91/117.12 Eq
% 116.91/117.12 (Exists fun Y2 =>
% 116.91/117.12 Exists fun Y3 =>
% 116.91/117.12 ∀ (Z : Iota),
% 116.91/117.12 (big_f a Y2 Y3 → big_f (skS.0 0 a_1) (skS.0 0 a_1) Z → Or (big_f Y2 Y3 a) (big_f Y3 a Y2)) →
% 116.91/117.12 Iff (big_f Y3 a Y2 → And (big_f a Y2 Y3) (big_f Y2 Y3 a)) (big_f Y2 a Z) →
% 116.91/117.12 Iff (big_f Y2 Y3 a → And (big_f a Y2 Y3) (big_f Y3 a Y2)) (big_f a Z Y2) →
% 116.91/117.12 Iff ((big_f Y3 a Y2 → Not (big_f Y2 Y3 a)) → big_f a Y2 Y3) (big_f Z Y2 a) →
% 116.91/117.12 Iff (And (And (big_f a Y2 Y3) (big_f Y2 Y3 a)) (big_f Y3 a Y2)) (big_f Z Z Z))
% 116.91/117.12 False
% 116.91/117.12 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 116.91/117.12 Eq
% 116.91/117.12 (Exists fun Y3 =>
% 116.91/117.12 ∀ (Z : Iota),
% 116.91/117.12 (big_f a a_1 Y3 → big_f (skS.0 0 a_2) (skS.0 0 a_2) Z → Or (big_f a_1 Y3 a) (big_f Y3 a a_1)) →
% 116.91/117.12 Iff (big_f Y3 a a_1 → And (big_f a a_1 Y3) (big_f a_1 Y3 a)) (big_f a_1 a Z) →
% 116.91/117.12 Iff (big_f a_1 Y3 a → And (big_f a a_1 Y3) (big_f Y3 a a_1)) (big_f a Z a_1) →
% 116.91/117.12 Iff ((big_f Y3 a a_1 → Not (big_f a_1 Y3 a)) → big_f a a_1 Y3) (big_f Z a_1 a) →
% 116.91/117.12 Iff (And (And (big_f a a_1 Y3) (big_f a_1 Y3 a)) (big_f Y3 a a_1)) (big_f Z Z Z))
% 116.91/117.12 False
% 116.91/117.12 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota),
% 116.98/117.14 Eq
% 116.98/117.14 (∀ (Z : Iota),
% 116.98/117.14 (big_f a a_1 a_2 → big_f (skS.0 0 a_3) (skS.0 0 a_3) Z → Or (big_f a_1 a_2 a) (big_f a_2 a a_1)) →
% 116.98/117.14 Iff (big_f a_2 a a_1 → And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_1 a Z) →
% 116.98/117.14 Iff (big_f a_1 a_2 a → And (big_f a a_1 a_2) (big_f a_2 a a_1)) (big_f a Z a_1) →
% 116.98/117.14 Iff ((big_f a_2 a a_1 → Not (big_f a_1 a_2 a)) → big_f a a_1 a_2) (big_f Z a_1 a) →
% 116.98/117.14 Iff (And (And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_2 a a_1)) (big_f Z Z Z))
% 116.98/117.14 False
% 116.98/117.14 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Eq
% 116.98/117.14 (Not
% 116.98/117.14 ((big_f a a_1 a_2 →
% 116.98/117.14 big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a a_1 a_2 a_3 a_4) → Or (big_f a_1 a_2 a) (big_f a_2 a a_1)) →
% 116.98/117.14 Iff (big_f a_2 a a_1 → And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_1 a (skS.0 1 a a_1 a_2 a_3 a_4)) →
% 116.98/117.14 Iff (big_f a_1 a_2 a → And (big_f a a_1 a_2) (big_f a_2 a a_1)) (big_f a (skS.0 1 a a_1 a_2 a_3 a_4) a_1) →
% 116.98/117.14 Iff ((big_f a_2 a a_1 → Not (big_f a_1 a_2 a)) → big_f a a_1 a_2)
% 116.98/117.14 (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) →
% 116.98/117.14 Iff (And (And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_2 a a_1))
% 116.98/117.14 (big_f (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4))))
% 116.98/117.14 True
% 116.98/117.14 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Eq
% 116.98/117.14 ((big_f a a_1 a_2 →
% 116.98/117.14 big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a a_1 a_2 a_3 a_4) → Or (big_f a_1 a_2 a) (big_f a_2 a a_1)) →
% 116.98/117.14 Iff (big_f a_2 a a_1 → And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_1 a (skS.0 1 a a_1 a_2 a_3 a_4)) →
% 116.98/117.14 Iff (big_f a_1 a_2 a → And (big_f a a_1 a_2) (big_f a_2 a a_1)) (big_f a (skS.0 1 a a_1 a_2 a_3 a_4) a_1) →
% 116.98/117.14 Iff ((big_f a_2 a a_1 → Not (big_f a_1 a_2 a)) → big_f a a_1 a_2) (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) →
% 116.98/117.14 Iff (And (And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_2 a a_1))
% 116.98/117.14 (big_f (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4)))
% 116.98/117.14 False
% 116.98/117.14 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Eq
% 116.98/117.14 (big_f a a_1 a_2 →
% 116.98/117.14 big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a a_1 a_2 a_3 a_4) → Or (big_f a_1 a_2 a) (big_f a_2 a a_1))
% 116.98/117.14 True
% 116.98/117.14 Clause #10 (by clausification #[8]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Eq
% 116.98/117.14 (Iff (big_f a a_1 a_2 → And (big_f a_1 a_2 a) (big_f a_2 a a_1)) (big_f a_2 a_1 (skS.0 1 a_1 a_2 a a_3 a_4)) →
% 116.98/117.14 Iff (big_f a_2 a a_1 → And (big_f a_1 a_2 a) (big_f a a_1 a_2)) (big_f a_1 (skS.0 1 a_1 a_2 a a_3 a_4) a_2) →
% 116.98/117.14 Iff ((big_f a a_1 a_2 → Not (big_f a_2 a a_1)) → big_f a_1 a_2 a) (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1) →
% 116.98/117.14 Iff (And (And (big_f a_1 a_2 a) (big_f a_2 a a_1)) (big_f a a_1 a_2))
% 116.98/117.14 (big_f (skS.0 1 a_1 a_2 a a_3 a_4) (skS.0 1 a_1 a_2 a a_3 a_4) (skS.0 1 a_1 a_2 a a_3 a_4)))
% 116.98/117.14 False
% 116.98/117.14 Clause #11 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Or (Eq (big_f a a_1 a_2) False)
% 116.98/117.14 (Eq (big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a a_1 a_2 a_3 a_4) → Or (big_f a_1 a_2 a) (big_f a_2 a a_1)) True)
% 116.98/117.14 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Or (Eq (big_f a a_1 a_2) False)
% 116.98/117.14 (Or (Eq (big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a a_1 a_2 a_3 a_4)) False)
% 116.98/117.14 (Eq (Or (big_f a_1 a_2 a) (big_f a_2 a a_1)) True))
% 116.98/117.14 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Or (Eq (big_f a a_1 a_2) False)
% 116.98/117.14 (Or (Eq (big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a a_1 a_2 a_3 a_4)) False)
% 116.98/117.14 (Or (Eq (big_f a_1 a_2 a) True) (Eq (big_f a_2 a a_1) True)))
% 116.98/117.14 Clause #14 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Eq (Iff (big_f a a_1 a_2 → And (big_f a_1 a_2 a) (big_f a_2 a a_1)) (big_f a_2 a_1 (skS.0 1 a_1 a_2 a a_3 a_4))) True
% 116.98/117.14 Clause #15 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 116.98/117.14 Eq
% 116.98/117.14 (Iff (big_f a a_1 a_2 → And (big_f a_2 a a_1) (big_f a_1 a_2 a)) (big_f a_2 (skS.0 1 a_2 a a_1 a_3 a_4) a) →
% 117.01/117.17 Iff ((big_f a_1 a_2 a → Not (big_f a a_1 a_2)) → big_f a_2 a a_1) (big_f (skS.0 1 a_2 a a_1 a_3 a_4) a a_2) →
% 117.01/117.17 Iff (And (And (big_f a_2 a a_1) (big_f a a_1 a_2)) (big_f a_1 a_2 a))
% 117.01/117.17 (big_f (skS.0 1 a_2 a a_1 a_3 a_4) (skS.0 1 a_2 a a_1 a_3 a_4) (skS.0 1 a_2 a a_1 a_3 a_4)))
% 117.01/117.17 False
% 117.01/117.17 Clause #16 (by clausification #[14]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 a_2 → And (big_f a_1 a_2 a) (big_f a_2 a a_1)) True)
% 117.01/117.17 (Eq (big_f a_2 a_1 (skS.0 1 a_1 a_2 a a_3 a_4)) False)
% 117.01/117.17 Clause #17 (by clausification #[14]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 a_2 → And (big_f a_1 a_2 a) (big_f a_2 a a_1)) False)
% 117.01/117.17 (Eq (big_f a_2 a_1 (skS.0 1 a_1 a_2 a a_3 a_4)) True)
% 117.01/117.17 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) False)
% 117.01/117.17 (Or (Eq (big_f a_2 a_1 a) False) (Eq (And (big_f a_1 a a_2) (big_f a a_2 a_1)) True))
% 117.01/117.17 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) False) (Or (Eq (big_f a_2 a_1 a) False) (Eq (big_f a a_2 a_1) True))
% 117.01/117.17 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) False) (Or (Eq (big_f a_2 a_1 a) False) (Eq (big_f a_1 a a_2) True))
% 117.01/117.17 Clause #21 (by clausification #[17]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True) (Eq (big_f a_2 a_1 a) True)
% 117.01/117.17 Clause #25 (by superposition #[21, 13]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 a_2) True)
% 117.01/117.17 (Or (Eq True False)
% 117.01/117.17 (Or (Eq (big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a_2 a_1 (skS.0 1 a_1 a_2 a a_4 a_5) a_3 a_6)) False)
% 117.01/117.17 (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_4 a_5) a_2) True)
% 117.01/117.17 (Eq (big_f (skS.0 1 a_1 a_2 a a_4 a_5) a_2 a_1) True))))
% 117.01/117.17 Clause #27 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Eq (Iff (big_f a a_1 a_2 → And (big_f a_2 a a_1) (big_f a_1 a_2 a)) (big_f a_2 (skS.0 1 a_2 a a_1 a_3 a_4) a)) True
% 117.01/117.17 Clause #28 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Eq
% 117.01/117.17 (Iff ((big_f a a_1 a_2 → Not (big_f a_2 a a_1)) → big_f a_1 a_2 a) (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1) →
% 117.01/117.17 Iff (And (And (big_f a_1 a_2 a) (big_f a_2 a a_1)) (big_f a a_1 a_2))
% 117.01/117.17 (big_f (skS.0 1 a_1 a_2 a a_3 a_4) (skS.0 1 a_1 a_2 a a_3 a_4) (skS.0 1 a_1 a_2 a a_3 a_4)))
% 117.01/117.17 False
% 117.01/117.17 Clause #29 (by clausification #[27]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 a_2 → And (big_f a_2 a a_1) (big_f a_1 a_2 a)) True)
% 117.01/117.17 (Eq (big_f a_2 (skS.0 1 a_2 a a_1 a_3 a_4) a) False)
% 117.01/117.17 Clause #30 (by clausification #[27]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 a_2 → And (big_f a_2 a a_1) (big_f a_1 a_2 a)) False)
% 117.01/117.17 (Eq (big_f a_2 (skS.0 1 a_2 a a_1 a_3 a_4) a) True)
% 117.01/117.17 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3 a_4) a_1) False)
% 117.01/117.17 (Or (Eq (big_f a_1 a_2 a) False) (Eq (And (big_f a a_1 a_2) (big_f a_2 a a_1)) True))
% 117.01/117.17 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3 a_4) a_1) False) (Or (Eq (big_f a_1 a_2 a) False) (Eq (big_f a_2 a a_1) True))
% 117.01/117.17 Clause #33 (by clausification #[31]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.17 Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3 a_4) a_1) False) (Or (Eq (big_f a_1 a_2 a) False) (Eq (big_f a a_1 a_2) True))
% 117.01/117.17 Clause #37 (by clausification #[30]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3 a_4) a_1) True) (Eq (big_f a_1 a_2 a) True)
% 117.01/117.17 Clause #44 (by clausification #[25]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.01/117.17 Or (Eq (big_f a a_1 a_2) True)
% 117.01/117.17 (Or (Eq (big_f (skS.0 0 a_3) (skS.0 0 a_3) (skS.0 1 a_2 a_1 (skS.0 1 a_1 a_2 a a_4 a_5) a_3 a_6)) False)
% 117.01/117.17 (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_4 a_5) a_2) True) (Eq (big_f (skS.0 1 a_1 a_2 a a_4 a_5) a_2 a_1) True)))
% 117.01/117.17 Clause #45 (by superposition #[44, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.17 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.17 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1)) True)
% 117.01/117.19 (Or (Eq (big_f (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.19 (Or (Eq False True)
% 117.01/117.19 (Eq (big_f (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1) (skS.0 0 a_1)) True))))
% 117.01/117.19 Clause #58 (by clausification #[28]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Eq (Iff ((big_f a a_1 a_2 → Not (big_f a_2 a a_1)) → big_f a_1 a_2 a) (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1))
% 117.01/117.19 True
% 117.01/117.19 Clause #59 (by clausification #[28]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Eq
% 117.01/117.19 (Iff (And (And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_2 a a_1))
% 117.01/117.19 (big_f (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4)))
% 117.01/117.19 False
% 117.01/117.19 Clause #60 (by clausification #[58]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq ((big_f a a_1 a_2 → Not (big_f a_2 a a_1)) → big_f a_1 a_2 a) True)
% 117.01/117.19 (Eq (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1) False)
% 117.01/117.19 Clause #61 (by clausification #[58]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq ((big_f a a_1 a_2 → Not (big_f a_2 a a_1)) → big_f a_1 a_2 a) False)
% 117.01/117.19 (Eq (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1) True)
% 117.01/117.19 Clause #62 (by clausification #[60]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) False)
% 117.01/117.19 (Or (Eq (big_f a_2 a a_1 → Not (big_f a_1 a_2 a)) False) (Eq (big_f a a_1 a_2) True))
% 117.01/117.19 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) False) (Or (Eq (big_f a a_1 a_2) True) (Eq (big_f a_2 a a_1) True))
% 117.01/117.19 Clause #64 (by clausification #[62]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) False)
% 117.01/117.19 (Or (Eq (big_f a a_1 a_2) True) (Eq (Not (big_f a_1 a_2 a)) False))
% 117.01/117.19 Clause #65 (by clausification #[61]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True) (Eq (big_f a_2 a a_1 → Not (big_f a_1 a_2 a)) True)
% 117.01/117.19 Clause #67 (by clausification #[65]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True)
% 117.01/117.19 (Or (Eq (big_f a_2 a a_1) False) (Eq (Not (big_f a_1 a_2 a)) True))
% 117.01/117.19 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True) (Or (Eq (big_f a_2 a a_1) False) (Eq (big_f a_1 a_2 a) False))
% 117.01/117.19 Clause #75 (by clausification #[64]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) False) (Or (Eq (big_f a a_1 a_2) True) (Eq (big_f a_1 a_2 a) True))
% 117.01/117.19 Clause #112 (by clausification #[59]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (And (And (big_f a a_1 a_2) (big_f a_1 a_2 a)) (big_f a_2 a a_1)) False)
% 117.01/117.19 (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4)) False)
% 117.01/117.19 Clause #114 (by clausification #[112]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4)) False)
% 117.01/117.19 (Or (Eq (And (big_f a a_1 a_2) (big_f a_1 a_2 a)) False) (Eq (big_f a_2 a a_1) False))
% 117.01/117.19 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.01/117.19 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1 a_2 a_3 a_4)) False)
% 117.01/117.19 (Or (Eq (big_f a_2 a a_1) False) (Or (Eq (big_f a a_1 a_2) False) (Eq (big_f a_1 a_2 a) False)))
% 117.01/117.19 Clause #152 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.19 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.19 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1)) True)
% 117.01/117.19 (Or (Eq (big_f (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.19 (Eq (big_f (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1) (skS.0 0 a_1)) True)))
% 117.01/117.19 Clause #153 (by eliminate duplicate literals #[152]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.19 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.19 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1)) True)
% 117.01/117.19 (Eq (big_f (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1) (skS.0 0 a_1)) True))
% 117.01/117.22 Clause #158 (by superposition #[153, 63]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq True False)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True) (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True))))
% 117.01/117.22 Clause #225 (by clausification #[158]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True) (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)))
% 117.01/117.22 Clause #226 (by eliminate duplicate literals #[225]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 1 (skS.0 0 a_1) (skS.0 0 a_1) a a_2 a_3) (skS.0 0 a_1)) True)
% 117.01/117.22 (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True))
% 117.01/117.22 Clause #228 (by superposition #[226, 33]): ∀ (a a_1 : Iota),
% 117.01/117.22 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True)
% 117.01/117.22 (Or (Eq True False)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) a (skS.0 0 a_1)) False) (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True))))
% 117.01/117.22 Clause #236 (by clausification #[228]): ∀ (a a_1 : Iota),
% 117.01/117.22 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) a (skS.0 0 a_1)) False) (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True)))
% 117.01/117.22 Clause #237 (by eliminate duplicate literals #[236]): ∀ (a a_1 : Iota),
% 117.01/117.22 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a_1) (skS.0 0 a_1) a) True) (Eq (big_f (skS.0 0 a_1) a (skS.0 0 a_1)) False))
% 117.01/117.22 Clause #239 (by superposition #[237, 37]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.01/117.22 (Or (Eq False True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.01/117.22 Clause #433 (by clausification #[239]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.01/117.22 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))
% 117.01/117.22 Clause #439 (by superposition #[433, 68]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.01/117.22 (Or
% 117.01/117.22 (Eq
% 117.01/117.22 (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5) (skS.0 0 a)
% 117.01/117.22 (skS.0 0 a))
% 117.01/117.22 True)
% 117.01/117.22 (Or (Eq True False) (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) False))))
% 117.01/117.22 Clause #441 (by superposition #[433, 75]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.01/117.22 (Or (Eq True False)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))))
% 117.01/117.22 Clause #444 (by clausification #[441]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.01/117.22 Clause #445 (by eliminate duplicate literals #[444]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True))
% 117.01/117.22 Clause #448 (by superposition #[445, 20]): ∀ (a a_1 : Iota),
% 117.01/117.22 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.01/117.22 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.07/117.25 (Or (Eq True False)
% 117.07/117.25 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True))))
% 117.07/117.25 Clause #457 (by clausification #[448]): ∀ (a a_1 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.07/117.25 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)))
% 117.07/117.25 Clause #458 (by eliminate duplicate literals #[457]): ∀ (a a_1 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False))
% 117.07/117.25 Clause #1882 (by clausification #[439]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5) (skS.0 0 a)
% 117.07/117.25 (skS.0 0 a))
% 117.07/117.25 True)
% 117.07/117.25 (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) False)))
% 117.07/117.25 Clause #1885 (by superposition #[1882, 37]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5) (skS.0 0 a)
% 117.07/117.25 (skS.0 0 a))
% 117.07/117.25 True)
% 117.07/117.25 (Or (Eq False True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))))
% 117.07/117.25 Clause #1889 (by clausification #[1885]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5) (skS.0 0 a)
% 117.07/117.25 (skS.0 0 a))
% 117.07/117.25 True)
% 117.07/117.25 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.07/117.25 Clause #1890 (by eliminate duplicate literals #[1889]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5) (skS.0 0 a)
% 117.07/117.25 (skS.0 0 a))
% 117.07/117.25 True))
% 117.07/117.25 Clause #1891 (by superposition #[1890, 458]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5)
% 117.07/117.25 (skS.0 0 a))
% 117.07/117.25 True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.07/117.25 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.07/117.25 True)
% 117.07/117.25 (Eq True False))))
% 117.07/117.25 Clause #2689 (by clausification #[1891]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5)
% 117.07/117.25 (skS.0 0 a))
% 117.07/117.25 True)
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.07/117.25 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.07/117.25 True)))
% 117.07/117.25 Clause #2692 (by superposition #[2689, 33]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.07/117.25 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.07/117.25 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.07/117.25 (Or
% 117.07/117.25 (Eq
% 117.07/117.25 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.07/117.25 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.10/117.27 True)
% 117.10/117.27 (Or (Eq True False)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) False)
% 117.10/117.27 (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)))))
% 117.10/117.27 Clause #3203 (by clausification #[2692]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Or
% 117.10/117.27 (Eq
% 117.10/117.27 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.10/117.27 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.10/117.27 True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) False)
% 117.10/117.27 (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True))))
% 117.10/117.27 Clause #3204 (by eliminate duplicate literals #[3203]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Or
% 117.10/117.27 (Eq
% 117.10/117.27 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.10/117.27 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.10/117.27 True)
% 117.10/117.27 (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) False)))
% 117.10/117.27 Clause #3210 (by superposition #[3204, 37]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Or
% 117.10/117.27 (Eq
% 117.10/117.27 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.10/117.27 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.10/117.27 True)
% 117.10/117.27 (Or (Eq False True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))))
% 117.10/117.27 Clause #3217 (by clausification #[3210]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Or
% 117.10/117.27 (Eq
% 117.10/117.27 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.10/117.27 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.10/117.27 True)
% 117.10/117.27 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.10/117.27 Clause #3218 (by eliminate duplicate literals #[3217]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Eq
% 117.10/117.27 (big_f (skS.0 0 a) (skS.0 0 a)
% 117.10/117.27 (skS.0 1 (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) a_4 a_5))
% 117.10/117.27 True))
% 117.10/117.27 Clause #3221 (by superposition #[3218, 20]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Or (Eq True False)
% 117.10/117.27 (Or (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) False)
% 117.10/117.27 (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True))))
% 117.10/117.27 Clause #3235 (by clausification #[3221]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) False)
% 117.10/117.27 (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)))
% 117.10/117.27 Clause #3236 (by eliminate duplicate literals #[3235]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.27 (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) False))
% 117.10/117.27 Clause #3238 (by superposition #[3236, 433]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.27 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.27 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq False True)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.30 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))))
% 117.10/117.30 Clause #3250 (by clausification #[3238]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.30 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.10/117.30 Clause #3251 (by eliminate duplicate literals #[3250]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.10/117.30 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 Clause #3253 (by superposition #[3251, 19]): ∀ (a a_1 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq True False)
% 117.10/117.30 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.10/117.30 Clause #3269 (by clausification #[3253]): ∀ (a a_1 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))
% 117.10/117.30 Clause #3270 (by eliminate duplicate literals #[3269]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True) (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False)
% 117.10/117.30 Clause #3271 (by superposition #[3270, 153]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) True) (Eq False True)))
% 117.10/117.30 Clause #3349 (by clausification #[3271]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) True)
% 117.10/117.30 (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) True))
% 117.10/117.30 Clause #3350 (by eliminate duplicate literals #[3349]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a)) True)
% 117.10/117.30 (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) True)
% 117.10/117.30 Clause #3354 (by superposition #[3350, 32]): ∀ (a a_1 : Iota),
% 117.10/117.30 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.10/117.30 (Or (Eq True False)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a_1) a (skS.0 0 a_1)) False) (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)))
% 117.10/117.30 Clause #3372 (by clausification #[3354]): ∀ (a a_1 : Iota),
% 117.10/117.30 Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a_1) a (skS.0 0 a_1)) False) (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True))
% 117.10/117.30 Clause #3373 (by eliminate duplicate literals #[3372]): ∀ (a a_1 : Iota), Or (Eq (big_f a (skS.0 0 a_1) (skS.0 0 a_1)) True) (Eq (big_f (skS.0 0 a_1) a (skS.0 0 a_1)) False)
% 117.10/117.30 Clause #3379 (by superposition #[3373, 37]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq False True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))
% 117.10/117.30 Clause #3384 (by clausification #[3379]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3) (skS.0 0 a) (skS.0 0 a)) True)
% 117.10/117.30 (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 Clause #3394 (by superposition #[3384, 75]): ∀ (a a_1 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq True False)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)))
% 117.10/117.30 Clause #3397 (by clausification #[3394]): ∀ (a a_1 : Iota),
% 117.10/117.30 Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True)
% 117.10/117.30 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True))
% 117.10/117.30 Clause #3398 (by eliminate duplicate literals #[3397]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) True) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.10/117.30 Clause #3400 (by superposition #[3398, 3373]): ∀ (a a_1 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) True) (Eq True False))
% 117.17/117.33 Clause #3402 (by superposition #[3398, 33]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.17/117.33 (Or (Eq True False)
% 117.17/117.33 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)))
% 117.17/117.33 Clause #3432 (by clausification #[3400]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) True)
% 117.17/117.33 Clause #3571 (by clausification #[3402]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.17/117.33 (Or (Eq (big_f (skS.0 0 a) a_1 (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True))
% 117.17/117.33 Clause #3579 (by superposition #[3571, 3398]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.17/117.33 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.17/117.33 (Or (Eq False True) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)))
% 117.17/117.33 Clause #3587 (by clausification #[3579]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.17/117.33 (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True))
% 117.17/117.33 Clause #3588 (by eliminate duplicate literals #[3587]): ∀ (a a_1 a_2 a_3 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 0 a) a_1 a_2 a_3)) True)
% 117.17/117.33 (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.17/117.33 Clause #3591 (by superposition #[3588, 20]): ∀ (a a_1 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.17/117.33 (Or (Eq True False)
% 117.17/117.33 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)))
% 117.17/117.33 Clause #3605 (by clausification #[3591]): ∀ (a a_1 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.17/117.33 (Or (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True))
% 117.17/117.33 Clause #3606 (by eliminate duplicate literals #[3605]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f a_1 (skS.0 0 a) (skS.0 0 a)) False)
% 117.17/117.33 Clause #3611 (by superposition #[3606, 3432]): ∀ (a a_1 : Iota),
% 117.17/117.33 Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq False True))
% 117.17/117.33 Clause #3622 (by clausification #[3611]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True) (Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True)
% 117.17/117.33 Clause #3623 (by eliminate duplicate literals #[3622]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a) (skS.0 0 a) a_1) True
% 117.17/117.33 Clause #3629 (by superposition #[3623, 44]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.33 Or (Eq (big_f a a_1 a_2) True)
% 117.17/117.33 (Or (Eq True False)
% 117.17/117.33 (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_3 a_4) a_2) True) (Eq (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1) True)))
% 117.17/117.33 Clause #3940 (by clausification #[3629]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.33 Or (Eq (big_f a a_1 a_2) True)
% 117.17/117.33 (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_3 a_4) a_2) True) (Eq (big_f (skS.0 1 a_1 a_2 a a_3 a_4) a_2 a_1) True))
% 117.17/117.33 Clause #3954 (by superposition #[3940, 63]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.33 Or (Eq (big_f a a_1 a_2) True)
% 117.17/117.33 (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_3 a_4) a_2) True)
% 117.17/117.33 (Or (Eq True False) (Or (Eq (big_f a_1 a_2 a) True) (Eq (big_f a a_1 a_2) True))))
% 117.17/117.33 Clause #3966 (by clausification #[3954]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.33 Or (Eq (big_f a a_1 a_2) True)
% 117.17/117.33 (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_3 a_4) a_2) True)
% 117.17/117.33 (Or (Eq (big_f a_1 a_2 a) True) (Eq (big_f a a_1 a_2) True)))
% 117.17/117.33 Clause #3967 (by eliminate duplicate literals #[3966]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.33 Or (Eq (big_f a a_1 a_2) True) (Or (Eq (big_f a_1 (skS.0 1 a_1 a_2 a a_3 a_4) a_2) True) (Eq (big_f a_1 a_2 a) True))
% 117.17/117.33 Clause #3981 (by superposition #[3967, 33]): ∀ (a a_1 a_2 : Iota),
% 117.17/117.33 Or (Eq (big_f a a_1 a_2) True)
% 117.17/117.33 (Or (Eq (big_f a_1 a_2 a) True) (Or (Eq True False) (Or (Eq (big_f a_2 a a_1) False) (Eq (big_f a_1 a_2 a) True))))
% 117.17/117.35 Clause #4005 (by clausification #[3981]): ∀ (a a_1 a_2 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 a_2) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a_2 a) True) (Or (Eq (big_f a_2 a a_1) False) (Eq (big_f a_1 a_2 a) True)))
% 117.17/117.35 Clause #4006 (by eliminate duplicate literals #[4005]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Or (Eq (big_f a_1 a_2 a) True) (Eq (big_f a_2 a a_1) False))
% 117.17/117.35 Clause #4091 (by superposition #[4006, 37]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.35 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 a_2 a_3 a_4)) True) (Or (Eq False True) (Eq (big_f a_1 a_2 a) True)))
% 117.17/117.35 Clause #4175 (by clausification #[4091]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.17/117.35 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 a_2 a_3 a_4)) True) (Eq (big_f a_1 a_2 a) True))
% 117.17/117.35 Clause #4189 (by superposition #[4175, 68]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1 a) True)
% 117.17/117.35 (Or (Eq True False) (Eq (big_f a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a) False))))
% 117.17/117.35 Clause #4757 (by clausification #[4189]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1 a) True)
% 117.17/117.35 (Eq (big_f a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a) False)))
% 117.17/117.35 Clause #4774 (by superposition #[4757, 37]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1 a) True)
% 117.17/117.35 (Or (Eq False True) (Eq (big_f a a_2 a_1) True))))
% 117.17/117.35 Clause #4791 (by clausification #[4774]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1 a) True) (Eq (big_f a a_2 a_1) True)))
% 117.17/117.35 Clause #4792 (by eliminate duplicate literals #[4791]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True) (Eq (big_f (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1 a) True))
% 117.17/117.35 Clause #4804 (by superposition #[4792, 4006]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True)
% 117.17/117.35 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1) True) (Eq True False))))
% 117.17/117.35 Clause #5303 (by clausification #[4804]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True)
% 117.17/117.35 (Eq (big_f a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6) a_1) True)))
% 117.17/117.35 Clause #5321 (by superposition #[5303, 33]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True)
% 117.17/117.35 (Or (Eq True False)
% 117.17/117.35 (Or (Eq (big_f a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a) False)
% 117.17/117.35 (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)))))
% 117.17/117.35 Clause #5640 (by clausification #[5321]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.17/117.35 (Or (Eq (big_f a a_2 a_1) True)
% 117.17/117.35 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True)
% 117.17/117.35 (Or (Eq (big_f a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a) False) (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True))))
% 117.17/117.35 Clause #5641 (by eliminate duplicate literals #[5640]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.17/117.35 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True)
% 117.21/117.38 (Eq (big_f a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a) False)))
% 117.21/117.38 Clause #5660 (by superposition #[5641, 37]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True)
% 117.21/117.38 (Or (Eq False True) (Eq (big_f a a_2 a_1) True))))
% 117.21/117.38 Clause #5680 (by clausification #[5660]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True) (Eq (big_f a a_2 a_1) True)))
% 117.21/117.38 Clause #5681 (by eliminate duplicate literals #[5680]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True) (Eq (big_f a_1 a (skS.0 1 a a_1 (skS.0 1 a_1 a a_2 a_3 a_4) a_5 a_6)) True))
% 117.21/117.38 Clause #5686 (by superposition #[5681, 20]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq True False)
% 117.21/117.38 (Or (Eq (big_f (skS.0 1 a_1 a a_2 a_3 a_4) a a_1) False) (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True))))
% 117.21/117.38 Clause #5714 (by clausification #[5686]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq (big_f (skS.0 1 a_1 a a_2 a_3 a_4) a a_1) False) (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)))
% 117.21/117.38 Clause #5715 (by eliminate duplicate literals #[5714]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True) (Eq (big_f (skS.0 1 a_1 a a_2 a_3 a_4) a a_1) False))
% 117.21/117.38 Clause #5799 (by superposition #[5715, 4175]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq False True) (Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True) (Eq (big_f a a_2 a_1) True))))
% 117.21/117.38 Clause #5806 (by clausification #[5799]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True)
% 117.21/117.38 (Or (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 (Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True) (Eq (big_f a a_2 a_1) True)))
% 117.21/117.38 Clause #5807 (by eliminate duplicate literals #[5806]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (big_f a a_1 (skS.0 1 a_1 a a_2 a_3 a_4)) True) (Eq (big_f a a_2 a_1) True)
% 117.21/117.38 Clause #5820 (by superposition #[5807, 19]): ∀ (a a_1 a_2 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 a_2) True) (Or (Eq True False) (Or (Eq (big_f a_1 a_2 a) False) (Eq (big_f a a_1 a_2) True)))
% 117.21/117.38 Clause #5842 (by clausification #[5820]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Or (Eq (big_f a_1 a_2 a) False) (Eq (big_f a a_1 a_2) True))
% 117.21/117.38 Clause #5843 (by eliminate duplicate literals #[5842]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Eq (big_f a_1 a_2 a) False)
% 117.21/117.38 Clause #5951 (by superposition #[5843, 5807]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 117.21/117.38 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True) (Or (Eq False True) (Eq (big_f a_1 a_2 a) True))
% 117.21/117.38 Clause #6000 (by clausification #[5951]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3 a_4) a_1 a) True) (Eq (big_f a_1 a_2 a) True)
% 117.21/117.38 Clause #6020 (by superposition #[6000, 75]): ∀ (a a_1 a_2 : Iota),
% 117.21/117.38 Or (Eq (big_f a a_1 a_2) True) (Or (Eq True False) (Or (Eq (big_f a_2 a a_1) True) (Eq (big_f a a_1 a_2) True)))
% 117.21/117.38 Clause #6025 (by clausification #[6020]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Or (Eq (big_f a_2 a a_1) True) (Eq (big_f a a_1 a_2) True))
% 117.21/117.38 Clause #6026 (by eliminate duplicate literals #[6025]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Eq (big_f a_2 a a_1) True)
% 117.21/117.38 Clause #6071 (by superposition #[6026, 5843]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Or (Eq (big_f a a_1 a_2) True) (Eq True False))
% 117.28/117.46 Clause #6103 (by equality factoring #[6026]): ∀ (a : Iota), Or (Ne True True) (Eq (big_f a a a) True)
% 117.28/117.46 Clause #6105 (by clausification #[6103]): ∀ (a : Iota), Or (Eq (big_f a a a) True) (Or (Eq True False) (Eq True False))
% 117.28/117.46 Clause #6107 (by clausification #[6105]): ∀ (a : Iota), Or (Eq (big_f a a a) True) (Eq True False)
% 117.28/117.46 Clause #6108 (by clausification #[6107]): ∀ (a : Iota), Eq (big_f a a a) True
% 117.28/117.46 Clause #6109 (by superposition #[6108, 115]): ∀ (a a_1 a_2 : Iota),
% 117.28/117.46 Or (Eq True False) (Or (Eq (big_f a a_1 a_2) False) (Or (Eq (big_f a_1 a_2 a) False) (Eq (big_f a_2 a a_1) False)))
% 117.28/117.46 Clause #6115 (by clausification #[6071]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) True) (Eq (big_f a a_1 a_2) True)
% 117.28/117.46 Clause #6116 (by eliminate duplicate literals #[6115]): ∀ (a a_1 a_2 : Iota), Eq (big_f a a_1 a_2) True
% 117.28/117.46 Clause #6241 (by clausification #[6109]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) False) (Or (Eq (big_f a_1 a_2 a) False) (Eq (big_f a_2 a a_1) False))
% 117.28/117.46 Clause #6242 (by superposition #[6241, 6116]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) False) (Or (Eq (big_f a_1 a_2 a) False) (Eq False True))
% 117.28/117.46 Clause #6243 (by clausification #[6242]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) False) (Eq (big_f a_1 a_2 a) False)
% 117.28/117.46 Clause #6244 (by superposition #[6243, 6116]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1 a_2) False) (Eq False True)
% 117.28/117.46 Clause #6245 (by clausification #[6244]): ∀ (a a_1 a_2 : Iota), Eq (big_f a a_1 a_2) False
% 117.28/117.46 Clause #6246 (by superposition #[6245, 6116]): Eq False True
% 117.28/117.46 Clause #6247 (by clausification #[6246]): False
% 117.28/117.46 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------