TSTP Solution File: GRP641+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n025.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 00:33:06 EDT 2023
% Result : Theorem 32.91s 33.29s
% Output : Proof 33.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n025.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 : Mon Aug 28 21:41:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 32.91/33.29 SZS status Theorem for theBenchmark.p
% 32.91/33.29 SZS output start Proof for theBenchmark.p
% 32.91/33.29 Clause #0 (by assumption #[]): Eq
% 32.91/33.29 (Not
% 32.91/33.29 (∀ (A : Iota),
% 32.91/33.29 And (And (And (Not (v3_struct_0 A)) (v3_group_1 A)) (v4_group_1 A)) (l1_group_1 A) →
% 32.91/33.29 ∀ (B : Iota), And (v1_group_1 B) (m1_group_2 B A) → r2_hidden (k2_group_1 A) (k1_funct_1 (k1_latsubgr A) B)))
% 32.91/33.29 True
% 32.91/33.29 Clause #7 (by assumption #[]): Eq
% 32.91/33.29 (∀ (A : Iota),
% 32.91/33.29 And (And (And (Not (v3_struct_0 A)) (v3_group_1 A)) (v4_group_1 A)) (l1_group_1 A) →
% 32.91/33.29 ∀ (B : Iota),
% 32.91/33.29 And (And (v1_funct_1 B) (v1_funct_2 B (k1_group_3 A) (k1_zfmisc_1 (u1_struct_0 A))))
% 32.91/33.29 (m2_relset_1 B (k1_group_3 A) (k1_zfmisc_1 (u1_struct_0 A))) →
% 32.91/33.29 Iff (Eq B (k1_latsubgr A))
% 32.91/33.29 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C A) → Eq (k1_funct_1 B C) (u1_struct_0 C)))
% 32.91/33.29 True
% 32.91/33.29 Clause #10 (by assumption #[]): Eq
% 32.91/33.29 (∀ (A : Iota),
% 32.91/33.29 And (And (And (Not (v3_struct_0 A)) (v3_group_1 A)) (v4_group_1 A)) (l1_group_1 A) →
% 32.91/33.29 And (And (v1_funct_1 (k1_latsubgr A)) (v1_funct_2 (k1_latsubgr A) (k1_group_3 A) (k1_zfmisc_1 (u1_struct_0 A))))
% 32.91/33.29 (m2_relset_1 (k1_latsubgr A) (k1_group_3 A) (k1_zfmisc_1 (u1_struct_0 A))))
% 32.91/33.29 True
% 32.91/33.29 Clause #11 (by assumption #[]): Eq (∀ (A : Iota), And (Not (v3_struct_0 A)) (l1_group_1 A) → m1_subset_1 (k2_group_1 A) (u1_struct_0 A)) True
% 32.91/33.29 Clause #12 (by assumption #[]): Eq (∀ (A : Iota), l1_group_1 A → l1_struct_0 A) True
% 32.91/33.29 Clause #13 (by assumption #[]): Eq
% 32.91/33.29 (∀ (A : Iota),
% 32.91/33.29 And (And (Not (v3_struct_0 A)) (v3_group_1 A)) (l1_group_1 A) →
% 32.91/33.29 ∀ (B : Iota), m1_group_2 B A → And (And (Not (v3_struct_0 B)) (v3_group_1 B)) (l1_group_1 B))
% 32.91/33.29 True
% 32.91/33.29 Clause #23 (by assumption #[]): Eq (∀ (A : Iota), And (Not (v3_struct_0 A)) (l1_struct_0 A) → Not (v1_xboole_0 (u1_struct_0 A))) True
% 32.91/33.29 Clause #39 (by assumption #[]): Eq (∀ (A B : Iota), m1_subset_1 A B → Or (v1_xboole_0 B) (r2_hidden A B)) True
% 32.91/33.29 Clause #42 (by assumption #[]): Eq
% 32.91/33.29 (∀ (A : Iota),
% 32.91/33.29 And (And (And (Not (v3_struct_0 A)) (v3_group_1 A)) (v4_group_1 A)) (l1_group_1 A) →
% 32.91/33.29 ∀ (B : Iota), m1_group_2 B A → Eq (k2_group_1 B) (k2_group_1 A))
% 32.91/33.29 True
% 32.91/33.29 Clause #47 (by clausification #[12]): ∀ (a : Iota), Eq (l1_group_1 a → l1_struct_0 a) True
% 32.91/33.29 Clause #48 (by clausification #[47]): ∀ (a : Iota), Or (Eq (l1_group_1 a) False) (Eq (l1_struct_0 a) True)
% 32.91/33.29 Clause #53 (by clausification #[0]): Eq
% 32.91/33.29 (∀ (A : Iota),
% 32.91/33.29 And (And (And (Not (v3_struct_0 A)) (v3_group_1 A)) (v4_group_1 A)) (l1_group_1 A) →
% 32.91/33.29 ∀ (B : Iota), And (v1_group_1 B) (m1_group_2 B A) → r2_hidden (k2_group_1 A) (k1_funct_1 (k1_latsubgr A) B))
% 32.91/33.29 False
% 32.91/33.29 Clause #54 (by clausification #[53]): ∀ (a : Iota),
% 32.91/33.29 Eq
% 32.91/33.29 (Not
% 32.91/33.29 (And (And (And (Not (v3_struct_0 (skS.0 0 a))) (v3_group_1 (skS.0 0 a))) (v4_group_1 (skS.0 0 a)))
% 32.91/33.29 (l1_group_1 (skS.0 0 a)) →
% 32.91/33.29 ∀ (B : Iota),
% 32.91/33.29 And (v1_group_1 B) (m1_group_2 B (skS.0 0 a)) →
% 32.91/33.29 r2_hidden (k2_group_1 (skS.0 0 a)) (k1_funct_1 (k1_latsubgr (skS.0 0 a)) B)))
% 32.91/33.29 True
% 32.91/33.29 Clause #55 (by clausification #[54]): ∀ (a : Iota),
% 32.91/33.29 Eq
% 32.91/33.29 (And (And (And (Not (v3_struct_0 (skS.0 0 a))) (v3_group_1 (skS.0 0 a))) (v4_group_1 (skS.0 0 a)))
% 32.91/33.29 (l1_group_1 (skS.0 0 a)) →
% 32.91/33.29 ∀ (B : Iota),
% 32.91/33.29 And (v1_group_1 B) (m1_group_2 B (skS.0 0 a)) →
% 32.91/33.29 r2_hidden (k2_group_1 (skS.0 0 a)) (k1_funct_1 (k1_latsubgr (skS.0 0 a)) B))
% 32.91/33.29 False
% 32.91/33.29 Clause #56 (by clausification #[55]): ∀ (a : Iota),
% 32.91/33.29 Eq
% 32.91/33.29 (And (And (And (Not (v3_struct_0 (skS.0 0 a))) (v3_group_1 (skS.0 0 a))) (v4_group_1 (skS.0 0 a)))
% 32.91/33.29 (l1_group_1 (skS.0 0 a)))
% 32.91/33.29 True
% 32.91/33.29 Clause #57 (by clausification #[55]): ∀ (a : Iota),
% 32.91/33.29 Eq
% 32.91/33.29 (∀ (B : Iota),
% 32.91/33.29 And (v1_group_1 B) (m1_group_2 B (skS.0 0 a)) →
% 32.91/33.29 r2_hidden (k2_group_1 (skS.0 0 a)) (k1_funct_1 (k1_latsubgr (skS.0 0 a)) B))
% 32.91/33.29 False
% 32.91/33.29 Clause #58 (by clausification #[56]): ∀ (a : Iota), Eq (l1_group_1 (skS.0 0 a)) True
% 32.91/33.29 Clause #59 (by clausification #[56]): ∀ (a : Iota), Eq (And (And (Not (v3_struct_0 (skS.0 0 a))) (v3_group_1 (skS.0 0 a))) (v4_group_1 (skS.0 0 a))) True
% 32.91/33.29 Clause #86 (by clausification #[23]): ∀ (a : Iota), Eq (And (Not (v3_struct_0 a)) (l1_struct_0 a) → Not (v1_xboole_0 (u1_struct_0 a))) True
% 33.13/33.32 Clause #87 (by clausification #[86]): ∀ (a : Iota), Or (Eq (And (Not (v3_struct_0 a)) (l1_struct_0 a)) False) (Eq (Not (v1_xboole_0 (u1_struct_0 a))) True)
% 33.13/33.32 Clause #88 (by clausification #[87]): ∀ (a : Iota),
% 33.13/33.32 Or (Eq (Not (v1_xboole_0 (u1_struct_0 a))) True) (Or (Eq (Not (v3_struct_0 a)) False) (Eq (l1_struct_0 a) False))
% 33.13/33.32 Clause #89 (by clausification #[88]): ∀ (a : Iota),
% 33.13/33.32 Or (Eq (Not (v3_struct_0 a)) False) (Or (Eq (l1_struct_0 a) False) (Eq (v1_xboole_0 (u1_struct_0 a)) False))
% 33.13/33.32 Clause #90 (by clausification #[89]): ∀ (a : Iota), Or (Eq (l1_struct_0 a) False) (Or (Eq (v1_xboole_0 (u1_struct_0 a)) False) (Eq (v3_struct_0 a) True))
% 33.13/33.32 Clause #116 (by clausification #[11]): ∀ (a : Iota), Eq (And (Not (v3_struct_0 a)) (l1_group_1 a) → m1_subset_1 (k2_group_1 a) (u1_struct_0 a)) True
% 33.13/33.32 Clause #117 (by clausification #[116]): ∀ (a : Iota),
% 33.13/33.32 Or (Eq (And (Not (v3_struct_0 a)) (l1_group_1 a)) False) (Eq (m1_subset_1 (k2_group_1 a) (u1_struct_0 a)) True)
% 33.13/33.32 Clause #118 (by clausification #[117]): ∀ (a : Iota),
% 33.13/33.32 Or (Eq (m1_subset_1 (k2_group_1 a) (u1_struct_0 a)) True)
% 33.13/33.32 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (l1_group_1 a) False))
% 33.13/33.32 Clause #119 (by clausification #[118]): ∀ (a : Iota),
% 33.13/33.32 Or (Eq (m1_subset_1 (k2_group_1 a) (u1_struct_0 a)) True) (Or (Eq (l1_group_1 a) False) (Eq (v3_struct_0 a) True))
% 33.13/33.32 Clause #151 (by clausification #[39]): ∀ (a : Iota), Eq (∀ (B : Iota), m1_subset_1 a B → Or (v1_xboole_0 B) (r2_hidden a B)) True
% 33.13/33.32 Clause #152 (by clausification #[151]): ∀ (a a_1 : Iota), Eq (m1_subset_1 a a_1 → Or (v1_xboole_0 a_1) (r2_hidden a a_1)) True
% 33.13/33.32 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Or (Eq (m1_subset_1 a a_1) False) (Eq (Or (v1_xboole_0 a_1) (r2_hidden a a_1)) True)
% 33.13/33.32 Clause #154 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (m1_subset_1 a a_1) False) (Or (Eq (v1_xboole_0 a_1) True) (Eq (r2_hidden a a_1) True))
% 33.13/33.32 Clause #212 (by clausification #[7]): ∀ (a : Iota),
% 33.13/33.32 Eq
% 33.13/33.32 (And (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) (l1_group_1 a) →
% 33.13/33.32 ∀ (B : Iota),
% 33.13/33.32 And (And (v1_funct_1 B) (v1_funct_2 B (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.13/33.32 (m2_relset_1 B (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) →
% 33.13/33.32 Iff (Eq B (k1_latsubgr a))
% 33.13/33.32 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 B C) (u1_struct_0 C)))
% 33.13/33.32 True
% 33.13/33.32 Clause #213 (by clausification #[212]): ∀ (a : Iota),
% 33.13/33.32 Or (Eq (And (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) (l1_group_1 a)) False)
% 33.13/33.32 (Eq
% 33.13/33.32 (∀ (B : Iota),
% 33.13/33.32 And (And (v1_funct_1 B) (v1_funct_2 B (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.13/33.32 (m2_relset_1 B (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) →
% 33.13/33.32 Iff (Eq B (k1_latsubgr a))
% 33.13/33.32 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 B C) (u1_struct_0 C)))
% 33.13/33.32 True)
% 33.13/33.32 Clause #214 (by clausification #[213]): ∀ (a : Iota),
% 33.13/33.32 Or
% 33.13/33.32 (Eq
% 33.13/33.32 (∀ (B : Iota),
% 33.13/33.32 And (And (v1_funct_1 B) (v1_funct_2 B (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.13/33.32 (m2_relset_1 B (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) →
% 33.13/33.32 Iff (Eq B (k1_latsubgr a))
% 33.13/33.32 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 B C) (u1_struct_0 C)))
% 33.13/33.32 True)
% 33.13/33.32 (Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False) (Eq (l1_group_1 a) False))
% 33.13/33.32 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota),
% 33.13/33.32 Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False)
% 33.13/33.32 (Or (Eq (l1_group_1 a) False)
% 33.13/33.32 (Eq
% 33.13/33.32 (And (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.13/33.32 (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) →
% 33.13/33.32 Iff (Eq a_1 (k1_latsubgr a))
% 33.13/33.32 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)))
% 33.13/33.32 True))
% 33.13/33.32 Clause #216 (by clausification #[215]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (l1_group_1 a) False)
% 33.15/33.33 (Or
% 33.15/33.33 (Eq
% 33.15/33.33 (And (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.15/33.33 (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) →
% 33.15/33.33 Iff (Eq a_1 (k1_latsubgr a))
% 33.15/33.33 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)))
% 33.15/33.33 True)
% 33.15/33.33 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False) (Eq (v4_group_1 a) False)))
% 33.15/33.33 Clause #217 (by clausification #[216]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (l1_group_1 a) False)
% 33.15/33.33 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False)
% 33.15/33.33 (Or (Eq (v4_group_1 a) False)
% 33.15/33.33 (Or
% 33.15/33.33 (Eq
% 33.15/33.33 (And (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.15/33.33 (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.15/33.33 False)
% 33.15/33.33 (Eq
% 33.15/33.33 (Iff (Eq a_1 (k1_latsubgr a))
% 33.15/33.33 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)))
% 33.15/33.33 True))))
% 33.15/33.33 Clause #218 (by clausification #[217]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (l1_group_1 a) False)
% 33.15/33.33 (Or (Eq (v4_group_1 a) False)
% 33.15/33.33 (Or
% 33.15/33.33 (Eq
% 33.15/33.33 (And (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.15/33.33 (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.15/33.33 False)
% 33.15/33.33 (Or
% 33.15/33.33 (Eq
% 33.15/33.33 (Iff (Eq a_1 (k1_latsubgr a))
% 33.15/33.33 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)))
% 33.15/33.33 True)
% 33.15/33.33 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v3_group_1 a) False)))))
% 33.15/33.33 Clause #219 (by clausification #[218]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (l1_group_1 a) False)
% 33.15/33.33 (Or (Eq (v4_group_1 a) False)
% 33.15/33.33 (Or
% 33.15/33.33 (Eq
% 33.15/33.33 (Iff (Eq a_1 (k1_latsubgr a))
% 33.15/33.33 (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)))
% 33.15/33.33 True)
% 33.15/33.33 (Or (Eq (Not (v3_struct_0 a)) False)
% 33.15/33.33 (Or (Eq (v3_group_1 a) False)
% 33.15/33.33 (Or (Eq (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a)))) False)
% 33.15/33.33 (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False))))))
% 33.15/33.33 Clause #221 (by clausification #[219]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (l1_group_1 a) False)
% 33.15/33.33 (Or (Eq (v4_group_1 a) False)
% 33.15/33.33 (Or (Eq (Not (v3_struct_0 a)) False)
% 33.15/33.33 (Or (Eq (v3_group_1 a) False)
% 33.15/33.33 (Or (Eq (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a)))) False)
% 33.15/33.33 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.15/33.33 (Or (Eq (Eq a_1 (k1_latsubgr a)) False)
% 33.15/33.33 (Eq (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C))
% 33.15/33.33 True)))))))
% 33.15/33.33 Clause #234 (by clausification #[42]): ∀ (a : Iota),
% 33.15/33.33 Eq
% 33.15/33.33 (And (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) (l1_group_1 a) →
% 33.15/33.33 ∀ (B : Iota), m1_group_2 B a → Eq (k2_group_1 B) (k2_group_1 a))
% 33.15/33.33 True
% 33.15/33.33 Clause #235 (by clausification #[234]): ∀ (a : Iota),
% 33.15/33.33 Or (Eq (And (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) (l1_group_1 a)) False)
% 33.15/33.33 (Eq (∀ (B : Iota), m1_group_2 B a → Eq (k2_group_1 B) (k2_group_1 a)) True)
% 33.15/33.33 Clause #236 (by clausification #[235]): ∀ (a : Iota),
% 33.15/33.33 Or (Eq (∀ (B : Iota), m1_group_2 B a → Eq (k2_group_1 B) (k2_group_1 a)) True)
% 33.15/33.33 (Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False) (Eq (l1_group_1 a) False))
% 33.15/33.33 Clause #237 (by clausification #[236]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False)
% 33.15/33.33 (Or (Eq (l1_group_1 a) False) (Eq (m1_group_2 a_1 a → Eq (k2_group_1 a_1) (k2_group_1 a)) True))
% 33.15/33.33 Clause #238 (by clausification #[237]): ∀ (a a_1 : Iota),
% 33.15/33.33 Or (Eq (l1_group_1 a) False)
% 33.15/33.33 (Or (Eq (m1_group_2 a_1 a → Eq (k2_group_1 a_1) (k2_group_1 a)) True)
% 33.18/33.36 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False) (Eq (v4_group_1 a) False)))
% 33.18/33.36 Clause #239 (by clausification #[238]): ∀ (a a_1 : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False)
% 33.18/33.36 (Or (Eq (v4_group_1 a) False) (Or (Eq (m1_group_2 a_1 a) False) (Eq (Eq (k2_group_1 a_1) (k2_group_1 a)) True))))
% 33.18/33.36 Clause #240 (by clausification #[239]): ∀ (a a_1 : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (v4_group_1 a) False)
% 33.18/33.36 (Or (Eq (m1_group_2 a_1 a) False)
% 33.18/33.36 (Or (Eq (Eq (k2_group_1 a_1) (k2_group_1 a)) True)
% 33.18/33.36 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v3_group_1 a) False)))))
% 33.18/33.36 Clause #241 (by clausification #[240]): ∀ (a a_1 : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (v4_group_1 a) False)
% 33.18/33.36 (Or (Eq (m1_group_2 a_1 a) False)
% 33.18/33.36 (Or (Eq (Not (v3_struct_0 a)) False) (Or (Eq (v3_group_1 a) False) (Eq (k2_group_1 a_1) (k2_group_1 a))))))
% 33.18/33.36 Clause #242 (by clausification #[241]): ∀ (a a_1 : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (v4_group_1 a) False)
% 33.18/33.36 (Or (Eq (m1_group_2 a_1 a) False)
% 33.18/33.36 (Or (Eq (v3_group_1 a) False) (Or (Eq (k2_group_1 a_1) (k2_group_1 a)) (Eq (v3_struct_0 a) True)))))
% 33.18/33.36 Clause #243 (by superposition #[242, 58]): ∀ (a a_1 : Iota),
% 33.18/33.36 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.18/33.36 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.18/33.36 (Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.18/33.36 (Or (Eq (k2_group_1 a_1) (k2_group_1 (skS.0 0 a))) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq False True)))))
% 33.18/33.36 Clause #271 (by clausification #[10]): ∀ (a : Iota),
% 33.18/33.36 Eq
% 33.18/33.36 (And (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) (l1_group_1 a) →
% 33.18/33.36 And (And (v1_funct_1 (k1_latsubgr a)) (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 True
% 33.18/33.36 Clause #272 (by clausification #[271]): ∀ (a : Iota),
% 33.18/33.36 Or (Eq (And (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) (l1_group_1 a)) False)
% 33.18/33.36 (Eq
% 33.18/33.36 (And (And (v1_funct_1 (k1_latsubgr a)) (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 True)
% 33.18/33.36 Clause #273 (by clausification #[272]): ∀ (a : Iota),
% 33.18/33.36 Or
% 33.18/33.36 (Eq
% 33.18/33.36 (And (And (v1_funct_1 (k1_latsubgr a)) (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 True)
% 33.18/33.36 (Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False) (Eq (l1_group_1 a) False))
% 33.18/33.36 Clause #274 (by clausification #[273]): ∀ (a : Iota),
% 33.18/33.36 Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False)
% 33.18/33.36 (Or (Eq (l1_group_1 a) False) (Eq (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True))
% 33.18/33.36 Clause #275 (by clausification #[273]): ∀ (a : Iota),
% 33.18/33.36 Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (v4_group_1 a)) False)
% 33.18/33.36 (Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Eq (And (v1_funct_1 (k1_latsubgr a)) (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.18/33.36 True))
% 33.18/33.36 Clause #276 (by clausification #[274]): ∀ (a : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True)
% 33.18/33.36 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False) (Eq (v4_group_1 a) False)))
% 33.18/33.36 Clause #277 (by clausification #[276]): ∀ (a : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True)
% 33.18/33.36 (Or (Eq (v4_group_1 a) False) (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v3_group_1 a) False))))
% 33.18/33.36 Clause #278 (by clausification #[277]): ∀ (a : Iota),
% 33.18/33.36 Or (Eq (l1_group_1 a) False)
% 33.18/33.36 (Or (Eq (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True)
% 33.18/33.36 (Or (Eq (v4_group_1 a) False) (Or (Eq (v3_group_1 a) False) (Eq (v3_struct_0 a) True))))
% 33.18/33.36 Clause #279 (by superposition #[278, 58]): ∀ (a : Iota),
% 33.18/33.38 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.18/33.38 (Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.18/33.38 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq False True))))
% 33.18/33.38 Clause #290 (by clausification #[13]): ∀ (a : Iota),
% 33.18/33.38 Eq
% 33.18/33.38 (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (l1_group_1 a) →
% 33.18/33.38 ∀ (B : Iota), m1_group_2 B a → And (And (Not (v3_struct_0 B)) (v3_group_1 B)) (l1_group_1 B))
% 33.18/33.38 True
% 33.18/33.38 Clause #291 (by clausification #[290]): ∀ (a : Iota),
% 33.18/33.38 Or (Eq (And (And (Not (v3_struct_0 a)) (v3_group_1 a)) (l1_group_1 a)) False)
% 33.18/33.38 (Eq (∀ (B : Iota), m1_group_2 B a → And (And (Not (v3_struct_0 B)) (v3_group_1 B)) (l1_group_1 B)) True)
% 33.18/33.38 Clause #292 (by clausification #[291]): ∀ (a : Iota),
% 33.18/33.38 Or (Eq (∀ (B : Iota), m1_group_2 B a → And (And (Not (v3_struct_0 B)) (v3_group_1 B)) (l1_group_1 B)) True)
% 33.18/33.38 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False) (Eq (l1_group_1 a) False))
% 33.18/33.38 Clause #293 (by clausification #[292]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False)
% 33.18/33.38 (Or (Eq (l1_group_1 a) False)
% 33.18/33.38 (Eq (m1_group_2 a_1 a → And (And (Not (v3_struct_0 a_1)) (v3_group_1 a_1)) (l1_group_1 a_1)) True))
% 33.18/33.38 Clause #294 (by clausification #[293]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (l1_group_1 a) False)
% 33.18/33.38 (Or (Eq (m1_group_2 a_1 a → And (And (Not (v3_struct_0 a_1)) (v3_group_1 a_1)) (l1_group_1 a_1)) True)
% 33.18/33.38 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v3_group_1 a) False)))
% 33.18/33.38 Clause #295 (by clausification #[294]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (l1_group_1 a) False)
% 33.18/33.38 (Or (Eq (Not (v3_struct_0 a)) False)
% 33.18/33.38 (Or (Eq (v3_group_1 a) False)
% 33.18/33.38 (Or (Eq (m1_group_2 a_1 a) False)
% 33.18/33.38 (Eq (And (And (Not (v3_struct_0 a_1)) (v3_group_1 a_1)) (l1_group_1 a_1)) True))))
% 33.18/33.38 Clause #296 (by clausification #[295]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (l1_group_1 a) False)
% 33.18/33.38 (Or (Eq (v3_group_1 a) False)
% 33.18/33.38 (Or (Eq (m1_group_2 a_1 a) False)
% 33.18/33.38 (Or (Eq (And (And (Not (v3_struct_0 a_1)) (v3_group_1 a_1)) (l1_group_1 a_1)) True) (Eq (v3_struct_0 a) True))))
% 33.18/33.38 Clause #297 (by clausification #[296]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (l1_group_1 a) False)
% 33.18/33.38 (Or (Eq (v3_group_1 a) False)
% 33.18/33.38 (Or (Eq (m1_group_2 a_1 a) False) (Or (Eq (v3_struct_0 a) True) (Eq (l1_group_1 a_1) True))))
% 33.18/33.38 Clause #298 (by clausification #[296]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (l1_group_1 a) False)
% 33.18/33.38 (Or (Eq (v3_group_1 a) False)
% 33.18/33.38 (Or (Eq (m1_group_2 a_1 a) False)
% 33.18/33.38 (Or (Eq (v3_struct_0 a) True) (Eq (And (Not (v3_struct_0 a_1)) (v3_group_1 a_1)) True))))
% 33.18/33.38 Clause #299 (by superposition #[297, 58]): ∀ (a a_1 : Iota),
% 33.18/33.38 Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.18/33.38 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.18/33.38 (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Or (Eq (l1_group_1 a_1) True) (Eq False True))))
% 33.18/33.38 Clause #405 (by clausification #[57]): ∀ (a a_1 : Iota),
% 33.18/33.38 Eq
% 33.18/33.38 (Not
% 33.18/33.38 (And (v1_group_1 (skS.0 16 a a_1)) (m1_group_2 (skS.0 16 a a_1) (skS.0 0 a)) →
% 33.18/33.38 r2_hidden (k2_group_1 (skS.0 0 a)) (k1_funct_1 (k1_latsubgr (skS.0 0 a)) (skS.0 16 a a_1))))
% 33.18/33.38 True
% 33.18/33.38 Clause #406 (by clausification #[405]): ∀ (a a_1 : Iota),
% 33.18/33.38 Eq
% 33.18/33.38 (And (v1_group_1 (skS.0 16 a a_1)) (m1_group_2 (skS.0 16 a a_1) (skS.0 0 a)) →
% 33.18/33.38 r2_hidden (k2_group_1 (skS.0 0 a)) (k1_funct_1 (k1_latsubgr (skS.0 0 a)) (skS.0 16 a a_1)))
% 33.18/33.38 False
% 33.18/33.38 Clause #407 (by clausification #[406]): ∀ (a a_1 : Iota), Eq (And (v1_group_1 (skS.0 16 a a_1)) (m1_group_2 (skS.0 16 a a_1) (skS.0 0 a))) True
% 33.18/33.38 Clause #408 (by clausification #[406]): ∀ (a a_1 : Iota), Eq (r2_hidden (k2_group_1 (skS.0 0 a)) (k1_funct_1 (k1_latsubgr (skS.0 0 a)) (skS.0 16 a a_1))) False
% 33.18/33.38 Clause #409 (by clausification #[407]): ∀ (a a_1 : Iota), Eq (m1_group_2 (skS.0 16 a a_1) (skS.0 0 a)) True
% 33.18/33.38 Clause #410 (by clausification #[407]): ∀ (a a_1 : Iota), Eq (v1_group_1 (skS.0 16 a a_1)) True
% 33.18/33.38 Clause #417 (by clausification #[59]): ∀ (a : Iota), Eq (v4_group_1 (skS.0 0 a)) True
% 33.18/33.38 Clause #418 (by clausification #[59]): ∀ (a : Iota), Eq (And (Not (v3_struct_0 (skS.0 0 a))) (v3_group_1 (skS.0 0 a))) True
% 33.18/33.41 Clause #429 (by clausification #[418]): ∀ (a : Iota), Eq (v3_group_1 (skS.0 0 a)) True
% 33.18/33.41 Clause #430 (by clausification #[418]): ∀ (a : Iota), Eq (Not (v3_struct_0 (skS.0 0 a))) True
% 33.18/33.41 Clause #431 (by clausification #[430]): ∀ (a : Iota), Eq (v3_struct_0 (skS.0 0 a)) False
% 33.18/33.41 Clause #478 (by clausification #[298]): ∀ (a a_1 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (m1_group_2 a_1 a) False) (Or (Eq (v3_struct_0 a) True) (Eq (Not (v3_struct_0 a_1)) True))))
% 33.18/33.41 Clause #481 (by clausification #[478]): ∀ (a a_1 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (m1_group_2 a_1 a) False) (Or (Eq (v3_struct_0 a) True) (Eq (v3_struct_0 a_1) False))))
% 33.18/33.41 Clause #482 (by superposition #[481, 58]): ∀ (a a_1 : Iota),
% 33.18/33.41 Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.18/33.41 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.18/33.41 (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Or (Eq (v3_struct_0 a_1) False) (Eq False True))))
% 33.18/33.41 Clause #579 (by clausification #[221]): ∀ (a a_1 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v4_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (And (v1_funct_1 a_1) (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a)))) False)
% 33.18/33.41 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Eq (Eq a_1 (k1_latsubgr a)) False)
% 33.18/33.41 (Or (Eq (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)) True)
% 33.18/33.41 (Eq (v3_struct_0 a) True)))))))
% 33.18/33.41 Clause #580 (by clausification #[579]): ∀ (a a_1 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v4_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Eq (Eq a_1 (k1_latsubgr a)) False)
% 33.18/33.41 (Or (Eq (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)) True)
% 33.18/33.41 (Or (Eq (v3_struct_0 a) True)
% 33.18/33.41 (Or (Eq (v1_funct_1 a_1) False)
% 33.18/33.41 (Eq (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False))))))))
% 33.18/33.41 Clause #581 (by clausification #[580]): ∀ (a a_1 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v4_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Eq (∀ (C : Iota), And (v1_group_1 C) (m1_group_2 C a) → Eq (k1_funct_1 a_1 C) (u1_struct_0 C)) True)
% 33.18/33.41 (Or (Eq (v3_struct_0 a) True)
% 33.18/33.41 (Or (Eq (v1_funct_1 a_1) False)
% 33.18/33.41 (Or (Eq (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Ne a_1 (k1_latsubgr a)))))))))
% 33.18/33.41 Clause #582 (by clausification #[581]): ∀ (a a_1 a_2 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v4_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Eq (v3_struct_0 a) True)
% 33.18/33.41 (Or (Eq (v1_funct_1 a_1) False)
% 33.18/33.41 (Or (Eq (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Ne a_1 (k1_latsubgr a))
% 33.18/33.41 (Eq (And (v1_group_1 a_2) (m1_group_2 a_2 a) → Eq (k1_funct_1 a_1 a_2) (u1_struct_0 a_2)) True))))))))
% 33.18/33.41 Clause #583 (by clausification #[582]): ∀ (a a_1 a_2 : Iota),
% 33.18/33.41 Or (Eq (l1_group_1 a) False)
% 33.18/33.41 (Or (Eq (v4_group_1 a) False)
% 33.18/33.41 (Or (Eq (v3_group_1 a) False)
% 33.18/33.41 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Eq (v3_struct_0 a) True)
% 33.18/33.41 (Or (Eq (v1_funct_1 a_1) False)
% 33.18/33.41 (Or (Eq (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.18/33.41 (Or (Ne a_1 (k1_latsubgr a))
% 33.18/33.41 (Or (Eq (And (v1_group_1 a_2) (m1_group_2 a_2 a)) False)
% 33.18/33.41 (Eq (Eq (k1_funct_1 a_1 a_2) (u1_struct_0 a_2)) True)))))))))
% 33.18/33.41 Clause #584 (by clausification #[583]): ∀ (a a_1 a_2 : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False)
% 33.26/33.43 (Or (Eq (v3_group_1 a) False)
% 33.26/33.43 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.26/33.43 (Or (Eq (v3_struct_0 a) True)
% 33.26/33.43 (Or (Eq (v1_funct_1 a_1) False)
% 33.26/33.43 (Or (Eq (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.26/33.43 (Or (Ne a_1 (k1_latsubgr a))
% 33.26/33.43 (Or (Eq (Eq (k1_funct_1 a_1 a_2) (u1_struct_0 a_2)) True)
% 33.26/33.43 (Or (Eq (v1_group_1 a_2) False) (Eq (m1_group_2 a_2 a) False))))))))))
% 33.26/33.43 Clause #585 (by clausification #[584]): ∀ (a a_1 a_2 : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False)
% 33.26/33.43 (Or (Eq (v3_group_1 a) False)
% 33.26/33.43 (Or (Eq (m2_relset_1 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.26/33.43 (Or (Eq (v3_struct_0 a) True)
% 33.26/33.43 (Or (Eq (v1_funct_1 a_1) False)
% 33.26/33.43 (Or (Eq (v1_funct_2 a_1 (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.26/33.43 (Or (Ne a_1 (k1_latsubgr a))
% 33.26/33.43 (Or (Eq (v1_group_1 a_2) False)
% 33.26/33.43 (Or (Eq (m1_group_2 a_2 a) False) (Eq (k1_funct_1 a_1 a_2) (u1_struct_0 a_2)))))))))))
% 33.26/33.43 Clause #586 (by destructive equality resolution #[585]): ∀ (a a_1 : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False)
% 33.26/33.43 (Or (Eq (v3_group_1 a) False)
% 33.26/33.43 (Or (Eq (m2_relset_1 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.26/33.43 (Or (Eq (v3_struct_0 a) True)
% 33.26/33.43 (Or (Eq (v1_funct_1 (k1_latsubgr a)) False)
% 33.26/33.43 (Or (Eq (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) False)
% 33.26/33.43 (Or (Eq (v1_group_1 a_1) False)
% 33.26/33.43 (Or (Eq (m1_group_2 a_1 a) False) (Eq (k1_funct_1 (k1_latsubgr a) a_1) (u1_struct_0 a_1))))))))))
% 33.26/33.43 Clause #587 (by superposition #[586, 58]): ∀ (a a_1 : Iota),
% 33.26/33.43 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.26/33.43 (Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.26/33.43 (Or
% 33.26/33.43 (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.26/33.43 False)
% 33.26/33.43 (Or (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.26/33.43 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.26/33.43 (Or
% 33.26/33.43 (Eq
% 33.26/33.43 (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.26/33.43 False)
% 33.26/33.43 (Or (Eq (v1_group_1 a_1) False)
% 33.26/33.43 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.26/33.43 (Or (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)) (Eq False True)))))))))
% 33.26/33.43 Clause #601 (by clausification #[275]): ∀ (a : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or
% 33.26/33.43 (Eq (And (v1_funct_1 (k1_latsubgr a)) (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))))
% 33.26/33.43 True)
% 33.26/33.43 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False) (Eq (v4_group_1 a) False)))
% 33.26/33.43 Clause #602 (by clausification #[601]): ∀ (a : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False)
% 33.26/33.43 (Eq (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True)))
% 33.26/33.43 Clause #603 (by clausification #[601]): ∀ (a : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (And (Not (v3_struct_0 a)) (v3_group_1 a)) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False) (Eq (v1_funct_1 (k1_latsubgr a)) True)))
% 33.26/33.43 Clause #604 (by clausification #[602]): ∀ (a : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False)
% 33.26/33.43 (Or (Eq (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True)
% 33.26/33.43 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v3_group_1 a) False))))
% 33.26/33.43 Clause #605 (by clausification #[604]): ∀ (a : Iota),
% 33.26/33.43 Or (Eq (l1_group_1 a) False)
% 33.26/33.43 (Or (Eq (v4_group_1 a) False)
% 33.26/33.43 (Or (Eq (v1_funct_2 (k1_latsubgr a) (k1_group_3 a) (k1_zfmisc_1 (u1_struct_0 a))) True)
% 33.26/33.43 (Or (Eq (v3_group_1 a) False) (Eq (v3_struct_0 a) True))))
% 33.26/33.43 Clause #606 (by superposition #[605, 58]): ∀ (a : Iota),
% 33.26/33.45 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.26/33.45 (Or
% 33.26/33.45 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.26/33.45 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq False True))))
% 33.26/33.45 Clause #608 (by clausification #[603]): ∀ (a : Iota),
% 33.26/33.45 Or (Eq (l1_group_1 a) False)
% 33.26/33.45 (Or (Eq (v4_group_1 a) False)
% 33.26/33.45 (Or (Eq (v1_funct_1 (k1_latsubgr a)) True) (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v3_group_1 a) False))))
% 33.26/33.45 Clause #609 (by clausification #[608]): ∀ (a : Iota),
% 33.26/33.45 Or (Eq (l1_group_1 a) False)
% 33.26/33.45 (Or (Eq (v4_group_1 a) False)
% 33.26/33.45 (Or (Eq (v1_funct_1 (k1_latsubgr a)) True) (Or (Eq (v3_group_1 a) False) (Eq (v3_struct_0 a) True))))
% 33.26/33.45 Clause #610 (by superposition #[609, 58]): ∀ (a : Iota),
% 33.26/33.45 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.26/33.45 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True)
% 33.26/33.45 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq False True))))
% 33.26/33.45 Clause #640 (by clausification #[299]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.26/33.45 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq (l1_group_1 a_1) True)))
% 33.26/33.45 Clause #641 (by forward demodulation #[640, 429]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq True False)
% 33.26/33.45 (Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (l1_group_1 a) True)))
% 33.26/33.45 Clause #642 (by clausification #[641]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (l1_group_1 a) True))
% 33.26/33.45 Clause #643 (by forward demodulation #[642, 431]): ∀ (a a_1 : Iota), Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq False True) (Eq (l1_group_1 a) True))
% 33.26/33.45 Clause #644 (by clausification #[643]): ∀ (a a_1 : Iota), Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Eq (l1_group_1 a) True)
% 33.26/33.45 Clause #645 (by superposition #[644, 409]): ∀ (a a_1 : Iota), Or (Eq (l1_group_1 (skS.0 16 a a_1)) True) (Eq False True)
% 33.26/33.45 Clause #647 (by clausification #[645]): ∀ (a a_1 : Iota), Eq (l1_group_1 (skS.0 16 a a_1)) True
% 33.26/33.45 Clause #648 (by superposition #[647, 48]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (l1_struct_0 (skS.0 16 a a_1)) True)
% 33.26/33.45 Clause #651 (by superposition #[647, 119]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (m1_subset_1 (k2_group_1 (skS.0 16 a a_1)) (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.26/33.45 (Or (Eq True False) (Eq (v3_struct_0 (skS.0 16 a a_1)) True))
% 33.26/33.45 Clause #667 (by clausification #[648]): ∀ (a a_1 : Iota), Eq (l1_struct_0 (skS.0 16 a a_1)) True
% 33.26/33.45 Clause #668 (by superposition #[667, 90]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq True False)
% 33.26/33.45 (Or (Eq (v1_xboole_0 (u1_struct_0 (skS.0 16 a a_1))) False) (Eq (v3_struct_0 (skS.0 16 a a_1)) True))
% 33.26/33.45 Clause #698 (by clausification #[668]): ∀ (a a_1 : Iota), Or (Eq (v1_xboole_0 (u1_struct_0 (skS.0 16 a a_1))) False) (Eq (v3_struct_0 (skS.0 16 a a_1)) True)
% 33.26/33.45 Clause #701 (by clausification #[243]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.26/33.45 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.26/33.45 (Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.26/33.45 (Or (Eq (k2_group_1 a_1) (k2_group_1 (skS.0 0 a))) (Eq (v3_struct_0 (skS.0 0 a)) True))))
% 33.26/33.45 Clause #702 (by forward demodulation #[701, 417]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq True False)
% 33.26/33.45 (Or (Eq (m1_group_2 a (skS.0 0 a_1)) False)
% 33.26/33.45 (Or (Eq (v3_group_1 (skS.0 0 a_1)) False)
% 33.26/33.45 (Or (Eq (k2_group_1 a) (k2_group_1 (skS.0 0 a_1))) (Eq (v3_struct_0 (skS.0 0 a_1)) True))))
% 33.26/33.45 Clause #703 (by clausification #[702]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (m1_group_2 a (skS.0 0 a_1)) False)
% 33.26/33.45 (Or (Eq (v3_group_1 (skS.0 0 a_1)) False)
% 33.26/33.45 (Or (Eq (k2_group_1 a) (k2_group_1 (skS.0 0 a_1))) (Eq (v3_struct_0 (skS.0 0 a_1)) True)))
% 33.26/33.45 Clause #704 (by forward demodulation #[703, 429]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (m1_group_2 a (skS.0 0 a_1)) False)
% 33.26/33.45 (Or (Eq True False) (Or (Eq (k2_group_1 a) (k2_group_1 (skS.0 0 a_1))) (Eq (v3_struct_0 (skS.0 0 a_1)) True)))
% 33.26/33.45 Clause #705 (by clausification #[704]): ∀ (a a_1 : Iota),
% 33.26/33.45 Or (Eq (m1_group_2 a (skS.0 0 a_1)) False)
% 33.30/33.47 (Or (Eq (k2_group_1 a) (k2_group_1 (skS.0 0 a_1))) (Eq (v3_struct_0 (skS.0 0 a_1)) True))
% 33.30/33.47 Clause #706 (by forward demodulation #[705, 431]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq (k2_group_1 a) (k2_group_1 (skS.0 0 a_1))) (Eq False True))
% 33.30/33.47 Clause #707 (by clausification #[706]): ∀ (a a_1 : Iota), Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Eq (k2_group_1 a) (k2_group_1 (skS.0 0 a_1)))
% 33.30/33.47 Clause #708 (by superposition #[707, 409]): ∀ (a a_1 : Iota), Or (Eq (k2_group_1 (skS.0 16 a a_1)) (k2_group_1 (skS.0 0 a))) (Eq False True)
% 33.30/33.47 Clause #710 (by clausification #[708]): ∀ (a a_1 : Iota), Eq (k2_group_1 (skS.0 16 a a_1)) (k2_group_1 (skS.0 0 a))
% 33.30/33.47 Clause #723 (by clausification #[482]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.30/33.47 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq (v3_struct_0 a_1) False)))
% 33.30/33.47 Clause #724 (by forward demodulation #[723, 429]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq True False)
% 33.30/33.47 (Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (v3_struct_0 a) False)))
% 33.30/33.47 Clause #725 (by clausification #[724]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (v3_struct_0 a) False))
% 33.30/33.47 Clause #726 (by forward demodulation #[725, 431]): ∀ (a a_1 : Iota), Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Or (Eq False True) (Eq (v3_struct_0 a) False))
% 33.30/33.47 Clause #727 (by clausification #[726]): ∀ (a a_1 : Iota), Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Eq (v3_struct_0 a) False)
% 33.30/33.47 Clause #728 (by superposition #[727, 409]): ∀ (a a_1 : Iota), Or (Eq (v3_struct_0 (skS.0 16 a a_1)) False) (Eq False True)
% 33.30/33.47 Clause #730 (by clausification #[728]): ∀ (a a_1 : Iota), Eq (v3_struct_0 (skS.0 16 a a_1)) False
% 33.30/33.47 Clause #731 (by backward demodulation #[730, 698]): ∀ (a a_1 : Iota), Or (Eq (v1_xboole_0 (u1_struct_0 (skS.0 16 a a_1))) False) (Eq False True)
% 33.30/33.47 Clause #733 (by clausification #[731]): ∀ (a a_1 : Iota), Eq (v1_xboole_0 (u1_struct_0 (skS.0 16 a a_1))) False
% 33.30/33.47 Clause #745 (by clausification #[651]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq (m1_subset_1 (k2_group_1 (skS.0 16 a a_1)) (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.30/33.47 (Eq (v3_struct_0 (skS.0 16 a a_1)) True)
% 33.30/33.47 Clause #746 (by forward demodulation #[745, 710]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq (m1_subset_1 (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.30/33.47 (Eq (v3_struct_0 (skS.0 16 a a_1)) True)
% 33.30/33.47 Clause #747 (by forward demodulation #[746, 730]): ∀ (a a_1 : Iota), Or (Eq (m1_subset_1 (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True) (Eq False True)
% 33.30/33.47 Clause #748 (by clausification #[747]): ∀ (a a_1 : Iota), Eq (m1_subset_1 (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True
% 33.30/33.47 Clause #749 (by superposition #[748, 154]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq True False)
% 33.30/33.47 (Or (Eq (v1_xboole_0 (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.30/33.47 (Eq (r2_hidden (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True))
% 33.30/33.47 Clause #750 (by clausification #[749]): ∀ (a a_1 : Iota),
% 33.30/33.47 Or (Eq (v1_xboole_0 (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.30/33.47 (Eq (r2_hidden (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.30/33.47 Clause #751 (by forward demodulation #[750, 733]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (r2_hidden (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True)
% 33.30/33.47 Clause #752 (by clausification #[751]): ∀ (a a_1 : Iota), Eq (r2_hidden (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) True
% 33.30/33.47 Clause #758 (by clausification #[279]): ∀ (a : Iota),
% 33.30/33.47 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.30/33.47 (Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.30/33.47 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 33.30/33.47 Clause #759 (by forward demodulation #[758, 417]): ∀ (a : Iota),
% 33.30/33.47 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.30/33.47 (Or (Eq True False) (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 33.30/33.50 Clause #760 (by clausification #[759]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.30/33.50 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True))
% 33.30/33.50 Clause #761 (by forward demodulation #[760, 429]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.30/33.50 (Or (Eq True False) (Eq (v3_struct_0 (skS.0 0 a)) True))
% 33.30/33.50 Clause #762 (by clausification #[761]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.30/33.50 (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.50 Clause #763 (by forward demodulation #[762, 431]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.30/33.50 (Eq False True)
% 33.30/33.50 Clause #764 (by clausification #[763]): ∀ (a : Iota),
% 33.30/33.50 Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True
% 33.30/33.50 Clause #980 (by clausification #[610]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.30/33.50 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True)
% 33.30/33.50 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 33.30/33.50 Clause #981 (by forward demodulation #[980, 417]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq True False)
% 33.30/33.50 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True)
% 33.30/33.50 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 33.30/33.50 Clause #982 (by clausification #[981]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True)
% 33.30/33.50 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True))
% 33.30/33.50 Clause #983 (by forward demodulation #[982, 429]): ∀ (a : Iota),
% 33.30/33.50 Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True) (Or (Eq True False) (Eq (v3_struct_0 (skS.0 0 a)) True))
% 33.30/33.50 Clause #984 (by clausification #[983]): ∀ (a : Iota), Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True) (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.50 Clause #985 (by forward demodulation #[984, 431]): ∀ (a : Iota), Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True) (Eq False True)
% 33.30/33.50 Clause #986 (by clausification #[985]): ∀ (a : Iota), Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) True
% 33.30/33.50 Clause #1066 (by clausification #[587]): ∀ (a a_1 : Iota),
% 33.30/33.50 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.30/33.50 (Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.30/33.50 (Or
% 33.30/33.50 (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.50 False)
% 33.30/33.50 (Or (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.50 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.50 (Or
% 33.30/33.50 (Eq
% 33.30/33.50 (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.50 False)
% 33.30/33.50 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.50 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.50 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)))))))))
% 33.30/33.50 Clause #1067 (by forward demodulation #[1066, 417]): ∀ (a a_1 : Iota),
% 33.30/33.50 Or (Eq True False)
% 33.30/33.50 (Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.30/33.50 (Or
% 33.30/33.50 (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.50 False)
% 33.30/33.50 (Or (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.50 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.50 (Or
% 33.30/33.50 (Eq
% 33.30/33.50 (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.50 False)
% 33.30/33.50 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.50 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.50 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)))))))))
% 33.30/33.50 Clause #1068 (by clausification #[1067]): ∀ (a a_1 : Iota),
% 33.30/33.50 Or (Eq (v3_group_1 (skS.0 0 a)) False)
% 33.30/33.50 (Or
% 33.30/33.50 (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.52 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.52 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1))))))))
% 33.30/33.52 Clause #1069 (by forward demodulation #[1068, 429]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq True False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.52 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.52 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1))))))))
% 33.30/33.52 Clause #1070 (by clausification #[1069]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.30/33.52 (Or (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.30/33.52 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.52 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)))))))
% 33.30/33.52 Clause #1071 (by forward demodulation #[1070, 431]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.30/33.52 (Or (Eq False True)
% 33.30/33.52 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.52 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)))))))
% 33.30/33.52 Clause #1072 (by clausification #[1071]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.30/33.52 (Or (Eq (v1_funct_1 (k1_latsubgr (skS.0 0 a))) False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.52 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1))))))
% 33.30/33.52 Clause #1073 (by forward demodulation #[1072, 986]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.30/33.52 (Or (Eq True False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a))))
% 33.30/33.52 False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.30/33.52 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1))))))
% 33.30/33.52 Clause #1074 (by clausification #[1073]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq (m2_relset_1 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.30/33.52 (Or
% 33.30/33.52 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.30/33.52 (Or (Eq (v1_group_1 a_1) False)
% 33.30/33.52 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False) (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)))))
% 33.30/33.52 Clause #1075 (by superposition #[1074, 764]): ∀ (a a_1 : Iota),
% 33.30/33.52 Or (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.38/33.55 (Or (Eq (v1_group_1 a_1) False)
% 33.38/33.55 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False)
% 33.38/33.55 (Or (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1)) (Eq False True))))
% 33.38/33.55 Clause #1183 (by clausification #[606]): ∀ (a : Iota),
% 33.38/33.55 Or (Eq (v4_group_1 (skS.0 0 a)) False)
% 33.38/33.55 (Or
% 33.38/33.55 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.38/33.55 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 33.38/33.55 Clause #1184 (by forward demodulation #[1183, 417]): ∀ (a : Iota),
% 33.38/33.55 Or (Eq True False)
% 33.38/33.55 (Or
% 33.38/33.55 (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.38/33.55 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 33.38/33.55 Clause #1185 (by clausification #[1184]): ∀ (a : Iota),
% 33.38/33.55 Or (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.38/33.55 (Or (Eq (v3_group_1 (skS.0 0 a)) False) (Eq (v3_struct_0 (skS.0 0 a)) True))
% 33.38/33.55 Clause #1186 (by forward demodulation #[1185, 429]): ∀ (a : Iota),
% 33.38/33.55 Or (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.38/33.55 (Or (Eq True False) (Eq (v3_struct_0 (skS.0 0 a)) True))
% 33.38/33.55 Clause #1187 (by clausification #[1186]): ∀ (a : Iota),
% 33.38/33.55 Or (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.38/33.55 (Eq (v3_struct_0 (skS.0 0 a)) True)
% 33.38/33.55 Clause #1188 (by forward demodulation #[1187, 431]): ∀ (a : Iota),
% 33.38/33.55 Or (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 33.38/33.55 (Eq False True)
% 33.38/33.55 Clause #1189 (by clausification #[1188]): ∀ (a : Iota),
% 33.38/33.55 Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True
% 33.38/33.55 Clause #2022 (by clausification #[1075]): ∀ (a a_1 : Iota),
% 33.38/33.55 Or (Eq (v1_funct_2 (k1_latsubgr (skS.0 0 a)) (k1_group_3 (skS.0 0 a)) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) False)
% 33.38/33.55 (Or (Eq (v1_group_1 a_1) False)
% 33.38/33.55 (Or (Eq (m1_group_2 a_1 (skS.0 0 a)) False) (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) a_1) (u1_struct_0 a_1))))
% 33.38/33.55 Clause #2023 (by superposition #[2022, 1189]): ∀ (a a_1 : Iota),
% 33.38/33.55 Or (Eq (v1_group_1 a) False)
% 33.38/33.55 (Or (Eq (m1_group_2 a (skS.0 0 a_1)) False)
% 33.38/33.55 (Or (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a_1)) a) (u1_struct_0 a)) (Eq False True)))
% 33.38/33.55 Clause #2028 (by clausification #[2023]): ∀ (a a_1 : Iota),
% 33.38/33.55 Or (Eq (v1_group_1 a) False)
% 33.38/33.55 (Or (Eq (m1_group_2 a (skS.0 0 a_1)) False) (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a_1)) a) (u1_struct_0 a)))
% 33.38/33.55 Clause #2029 (by superposition #[2028, 410]): ∀ (a a_1 a_2 : Iota),
% 33.38/33.55 Or (Eq (m1_group_2 (skS.0 16 a a_1) (skS.0 0 a_2)) False)
% 33.38/33.55 (Or (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a_2)) (skS.0 16 a a_1)) (u1_struct_0 (skS.0 16 a a_1))) (Eq False True))
% 33.38/33.55 Clause #2031 (by clausification #[2029]): ∀ (a a_1 a_2 : Iota),
% 33.38/33.55 Or (Eq (m1_group_2 (skS.0 16 a a_1) (skS.0 0 a_2)) False)
% 33.38/33.55 (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a_2)) (skS.0 16 a a_1)) (u1_struct_0 (skS.0 16 a a_1)))
% 33.38/33.55 Clause #2032 (by superposition #[2031, 409]): ∀ (a a_1 : Iota),
% 33.38/33.55 Or (Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) (skS.0 16 a a_1)) (u1_struct_0 (skS.0 16 a a_1))) (Eq False True)
% 33.38/33.55 Clause #2033 (by clausification #[2032]): ∀ (a a_1 : Iota), Eq (k1_funct_1 (k1_latsubgr (skS.0 0 a)) (skS.0 16 a a_1)) (u1_struct_0 (skS.0 16 a a_1))
% 33.38/33.55 Clause #2034 (by backward demodulation #[2033, 408]): ∀ (a a_1 : Iota), Eq (r2_hidden (k2_group_1 (skS.0 0 a)) (u1_struct_0 (skS.0 16 a a_1))) False
% 33.38/33.55 Clause #2035 (by superposition #[2034, 752]): Eq False True
% 33.38/33.55 Clause #2036 (by clausification #[2035]): False
% 33.38/33.55 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------