TSTP Solution File: LAT300+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 06:07:37 EDT 2023
% Result : Theorem 10.92s 11.12s
% Output : Proof 11.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 06:49:52 EDT 2023
% 0.15/0.35 % CPUTime :
% 10.92/11.12 SZS status Theorem for theBenchmark.p
% 10.92/11.12 SZS output start Proof for theBenchmark.p
% 10.92/11.12 Clause #0 (by assumption #[]): Eq
% 10.92/11.12 (Not
% 10.92/11.12 (∀ (A : Iota),
% 10.92/11.12 And (And (Not (v3_struct_0 A)) (v10_lattices A)) (l3_lattices A) →
% 10.92/11.12 ∀ (B : Iota), m2_filter_2 B A → Exists fun C => And (m1_subset_1 C (u1_struct_0 A)) (r2_hidden C B)))
% 10.92/11.12 True
% 10.92/11.12 Clause #10 (by assumption #[]): Eq
% 10.92/11.12 (∀ (A : Iota),
% 10.92/11.12 And (And (Not (v3_struct_0 A)) (v10_lattices A)) (l3_lattices A) →
% 10.92/11.12 ∀ (B : Iota), m2_filter_2 B A → And (Not (v1_xboole_0 B)) (m2_lattice4 B A))
% 10.92/11.12 True
% 10.92/11.12 Clause #11 (by assumption #[]): Eq
% 10.92/11.12 (∀ (A : Iota),
% 10.92/11.12 And (And (Not (v3_struct_0 A)) (v10_lattices A)) (l3_lattices A) →
% 10.92/11.12 ∀ (B : Iota), m2_lattice4 B A → m1_subset_1 B (k1_zfmisc_1 (u1_struct_0 A)))
% 10.92/11.12 True
% 10.92/11.12 Clause #17 (by assumption #[]): Eq (∀ (A : Iota), Exists fun B => m1_subset_1 B A) True
% 10.92/11.12 Clause #33 (by assumption #[]): Eq (∀ (A B : Iota), m1_subset_1 A B → Or (v1_xboole_0 B) (r2_hidden A B)) True
% 10.92/11.12 Clause #35 (by assumption #[]): Eq (∀ (A B C : Iota), And (r2_hidden A B) (m1_subset_1 B (k1_zfmisc_1 C)) → m1_subset_1 A C) True
% 10.92/11.12 Clause #47 (by clausification #[0]): Eq
% 10.92/11.12 (∀ (A : Iota),
% 10.92/11.12 And (And (Not (v3_struct_0 A)) (v10_lattices A)) (l3_lattices A) →
% 10.92/11.12 ∀ (B : Iota), m2_filter_2 B A → Exists fun C => And (m1_subset_1 C (u1_struct_0 A)) (r2_hidden C B))
% 10.92/11.12 False
% 10.92/11.12 Clause #48 (by clausification #[47]): ∀ (a : Iota),
% 10.92/11.12 Eq
% 10.92/11.12 (Not
% 10.92/11.12 (And (And (Not (v3_struct_0 (skS.0 0 a))) (v10_lattices (skS.0 0 a))) (l3_lattices (skS.0 0 a)) →
% 10.92/11.12 ∀ (B : Iota),
% 10.92/11.12 m2_filter_2 B (skS.0 0 a) → Exists fun C => And (m1_subset_1 C (u1_struct_0 (skS.0 0 a))) (r2_hidden C B)))
% 10.92/11.12 True
% 10.92/11.12 Clause #49 (by clausification #[48]): ∀ (a : Iota),
% 10.92/11.12 Eq
% 10.92/11.12 (And (And (Not (v3_struct_0 (skS.0 0 a))) (v10_lattices (skS.0 0 a))) (l3_lattices (skS.0 0 a)) →
% 10.92/11.12 ∀ (B : Iota),
% 10.92/11.12 m2_filter_2 B (skS.0 0 a) → Exists fun C => And (m1_subset_1 C (u1_struct_0 (skS.0 0 a))) (r2_hidden C B))
% 10.92/11.12 False
% 10.92/11.12 Clause #50 (by clausification #[49]): ∀ (a : Iota), Eq (And (And (Not (v3_struct_0 (skS.0 0 a))) (v10_lattices (skS.0 0 a))) (l3_lattices (skS.0 0 a))) True
% 10.92/11.12 Clause #51 (by clausification #[49]): ∀ (a : Iota),
% 10.92/11.12 Eq
% 10.92/11.12 (∀ (B : Iota),
% 10.92/11.12 m2_filter_2 B (skS.0 0 a) → Exists fun C => And (m1_subset_1 C (u1_struct_0 (skS.0 0 a))) (r2_hidden C B))
% 10.92/11.12 False
% 10.92/11.12 Clause #52 (by clausification #[50]): ∀ (a : Iota), Eq (l3_lattices (skS.0 0 a)) True
% 10.92/11.12 Clause #53 (by clausification #[50]): ∀ (a : Iota), Eq (And (Not (v3_struct_0 (skS.0 0 a))) (v10_lattices (skS.0 0 a))) True
% 10.92/11.12 Clause #102 (by clausification #[17]): ∀ (a : Iota), Eq (Exists fun B => m1_subset_1 B a) True
% 10.92/11.12 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), Eq (m1_subset_1 (skS.0 7 a a_1) a) True
% 10.92/11.12 Clause #126 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (B C : Iota), And (r2_hidden a B) (m1_subset_1 B (k1_zfmisc_1 C)) → m1_subset_1 a C) True
% 10.92/11.12 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), And (r2_hidden a a_1) (m1_subset_1 a_1 (k1_zfmisc_1 C)) → m1_subset_1 a C) True
% 10.92/11.12 Clause #128 (by clausification #[127]): ∀ (a a_1 a_2 : Iota), Eq (And (r2_hidden a a_1) (m1_subset_1 a_1 (k1_zfmisc_1 a_2)) → m1_subset_1 a a_2) True
% 10.92/11.12 Clause #129 (by clausification #[128]): ∀ (a a_1 a_2 : Iota),
% 10.92/11.12 Or (Eq (And (r2_hidden a a_1) (m1_subset_1 a_1 (k1_zfmisc_1 a_2))) False) (Eq (m1_subset_1 a a_2) True)
% 10.92/11.12 Clause #130 (by clausification #[129]): ∀ (a a_1 a_2 : Iota),
% 10.92/11.12 Or (Eq (m1_subset_1 a a_1) True) (Or (Eq (r2_hidden a a_2) False) (Eq (m1_subset_1 a_2 (k1_zfmisc_1 a_1)) False))
% 10.92/11.12 Clause #159 (by clausification #[11]): ∀ (a : Iota),
% 10.92/11.12 Eq
% 10.92/11.12 (And (And (Not (v3_struct_0 a)) (v10_lattices a)) (l3_lattices a) →
% 10.92/11.12 ∀ (B : Iota), m2_lattice4 B a → m1_subset_1 B (k1_zfmisc_1 (u1_struct_0 a)))
% 10.92/11.12 True
% 10.92/11.12 Clause #160 (by clausification #[159]): ∀ (a : Iota),
% 10.92/11.12 Or (Eq (And (And (Not (v3_struct_0 a)) (v10_lattices a)) (l3_lattices a)) False)
% 10.92/11.12 (Eq (∀ (B : Iota), m2_lattice4 B a → m1_subset_1 B (k1_zfmisc_1 (u1_struct_0 a))) True)
% 10.92/11.12 Clause #161 (by clausification #[160]): ∀ (a : Iota),
% 10.92/11.14 Or (Eq (∀ (B : Iota), m2_lattice4 B a → m1_subset_1 B (k1_zfmisc_1 (u1_struct_0 a))) True)
% 10.92/11.14 (Or (Eq (And (Not (v3_struct_0 a)) (v10_lattices a)) False) (Eq (l3_lattices a) False))
% 10.92/11.14 Clause #162 (by clausification #[161]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (And (Not (v3_struct_0 a)) (v10_lattices a)) False)
% 10.92/11.14 (Or (Eq (l3_lattices a) False) (Eq (m2_lattice4 a_1 a → m1_subset_1 a_1 (k1_zfmisc_1 (u1_struct_0 a))) True))
% 10.92/11.14 Clause #163 (by clausification #[162]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_lattice4 a_1 a → m1_subset_1 a_1 (k1_zfmisc_1 (u1_struct_0 a))) True)
% 10.92/11.14 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v10_lattices a) False)))
% 10.92/11.14 Clause #164 (by clausification #[163]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (Not (v3_struct_0 a)) False)
% 10.92/11.14 (Or (Eq (v10_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_lattice4 a_1 a) False) (Eq (m1_subset_1 a_1 (k1_zfmisc_1 (u1_struct_0 a))) True))))
% 10.92/11.14 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (v10_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_lattice4 a_1 a) False)
% 10.92/11.14 (Or (Eq (m1_subset_1 a_1 (k1_zfmisc_1 (u1_struct_0 a))) True) (Eq (v3_struct_0 a) True))))
% 10.92/11.14 Clause #166 (by superposition #[165, 52]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (v10_lattices (skS.0 0 a)) False)
% 10.92/11.14 (Or (Eq (m2_lattice4 a_1 (skS.0 0 a)) False)
% 10.92/11.14 (Or (Eq (m1_subset_1 a_1 (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 10.92/11.14 (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq False True))))
% 10.92/11.14 Clause #179 (by clausification #[10]): ∀ (a : Iota),
% 10.92/11.14 Eq
% 10.92/11.14 (And (And (Not (v3_struct_0 a)) (v10_lattices a)) (l3_lattices a) →
% 10.92/11.14 ∀ (B : Iota), m2_filter_2 B a → And (Not (v1_xboole_0 B)) (m2_lattice4 B a))
% 10.92/11.14 True
% 10.92/11.14 Clause #180 (by clausification #[179]): ∀ (a : Iota),
% 10.92/11.14 Or (Eq (And (And (Not (v3_struct_0 a)) (v10_lattices a)) (l3_lattices a)) False)
% 10.92/11.14 (Eq (∀ (B : Iota), m2_filter_2 B a → And (Not (v1_xboole_0 B)) (m2_lattice4 B a)) True)
% 10.92/11.14 Clause #181 (by clausification #[180]): ∀ (a : Iota),
% 10.92/11.14 Or (Eq (∀ (B : Iota), m2_filter_2 B a → And (Not (v1_xboole_0 B)) (m2_lattice4 B a)) True)
% 10.92/11.14 (Or (Eq (And (Not (v3_struct_0 a)) (v10_lattices a)) False) (Eq (l3_lattices a) False))
% 10.92/11.14 Clause #182 (by clausification #[181]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (And (Not (v3_struct_0 a)) (v10_lattices a)) False)
% 10.92/11.14 (Or (Eq (l3_lattices a) False) (Eq (m2_filter_2 a_1 a → And (Not (v1_xboole_0 a_1)) (m2_lattice4 a_1 a)) True))
% 10.92/11.14 Clause #183 (by clausification #[182]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_filter_2 a_1 a → And (Not (v1_xboole_0 a_1)) (m2_lattice4 a_1 a)) True)
% 10.92/11.14 (Or (Eq (Not (v3_struct_0 a)) False) (Eq (v10_lattices a) False)))
% 10.92/11.14 Clause #184 (by clausification #[183]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (Not (v3_struct_0 a)) False)
% 10.92/11.14 (Or (Eq (v10_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_filter_2 a_1 a) False) (Eq (And (Not (v1_xboole_0 a_1)) (m2_lattice4 a_1 a)) True))))
% 10.92/11.14 Clause #185 (by clausification #[184]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (v10_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_filter_2 a_1 a) False)
% 10.92/11.14 (Or (Eq (And (Not (v1_xboole_0 a_1)) (m2_lattice4 a_1 a)) True) (Eq (v3_struct_0 a) True))))
% 10.92/11.14 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (v10_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_filter_2 a_1 a) False) (Or (Eq (v3_struct_0 a) True) (Eq (m2_lattice4 a_1 a) True))))
% 10.92/11.14 Clause #187 (by clausification #[185]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (l3_lattices a) False)
% 10.92/11.14 (Or (Eq (v10_lattices a) False)
% 10.92/11.14 (Or (Eq (m2_filter_2 a_1 a) False) (Or (Eq (v3_struct_0 a) True) (Eq (Not (v1_xboole_0 a_1)) True))))
% 10.92/11.14 Clause #188 (by superposition #[186, 52]): ∀ (a a_1 : Iota),
% 10.92/11.14 Or (Eq (v10_lattices (skS.0 0 a)) False)
% 10.92/11.14 (Or (Eq (m2_filter_2 a_1 (skS.0 0 a)) False)
% 10.92/11.14 (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Or (Eq (m2_lattice4 a_1 (skS.0 0 a)) True) (Eq False True))))
% 10.92/11.14 Clause #212 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (B : Iota), m1_subset_1 a B → Or (v1_xboole_0 B) (r2_hidden a B)) True
% 11.02/11.16 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota), Eq (m1_subset_1 a a_1 → Or (v1_xboole_0 a_1) (r2_hidden a a_1)) True
% 11.02/11.16 Clause #214 (by clausification #[213]): ∀ (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)
% 11.02/11.16 Clause #215 (by clausification #[214]): ∀ (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))
% 11.02/11.16 Clause #216 (by superposition #[215, 103]): ∀ (a a_1 : Iota), Or (Eq (v1_xboole_0 a) True) (Or (Eq (r2_hidden (skS.0 7 a a_1) a) True) (Eq False True))
% 11.02/11.16 Clause #329 (by clausification #[51]): ∀ (a a_1 : Iota),
% 11.02/11.16 Eq
% 11.02/11.16 (Not
% 11.02/11.16 (m2_filter_2 (skS.0 16 a a_1) (skS.0 0 a) →
% 11.02/11.16 Exists fun C => And (m1_subset_1 C (u1_struct_0 (skS.0 0 a))) (r2_hidden C (skS.0 16 a a_1))))
% 11.02/11.16 True
% 11.02/11.16 Clause #330 (by clausification #[329]): ∀ (a a_1 : Iota),
% 11.02/11.16 Eq
% 11.02/11.16 (m2_filter_2 (skS.0 16 a a_1) (skS.0 0 a) →
% 11.02/11.16 Exists fun C => And (m1_subset_1 C (u1_struct_0 (skS.0 0 a))) (r2_hidden C (skS.0 16 a a_1)))
% 11.02/11.16 False
% 11.02/11.16 Clause #331 (by clausification #[330]): ∀ (a a_1 : Iota), Eq (m2_filter_2 (skS.0 16 a a_1) (skS.0 0 a)) True
% 11.02/11.16 Clause #332 (by clausification #[330]): ∀ (a a_1 : Iota),
% 11.02/11.16 Eq (Exists fun C => And (m1_subset_1 C (u1_struct_0 (skS.0 0 a))) (r2_hidden C (skS.0 16 a a_1))) False
% 11.02/11.16 Clause #340 (by clausification #[216]): ∀ (a a_1 : Iota), Or (Eq (v1_xboole_0 a) True) (Eq (r2_hidden (skS.0 7 a a_1) a) True)
% 11.02/11.16 Clause #343 (by superposition #[340, 130]): ∀ (a a_1 a_2 : Iota),
% 11.02/11.16 Or (Eq (v1_xboole_0 a) True)
% 11.02/11.16 (Or (Eq (m1_subset_1 (skS.0 7 a a_1) a_2) True) (Or (Eq True False) (Eq (m1_subset_1 a (k1_zfmisc_1 a_2)) False)))
% 11.02/11.16 Clause #351 (by clausification #[53]): ∀ (a : Iota), Eq (v10_lattices (skS.0 0 a)) True
% 11.02/11.16 Clause #352 (by clausification #[53]): ∀ (a : Iota), Eq (Not (v3_struct_0 (skS.0 0 a))) True
% 11.02/11.16 Clause #353 (by clausification #[352]): ∀ (a : Iota), Eq (v3_struct_0 (skS.0 0 a)) False
% 11.02/11.16 Clause #384 (by clausification #[187]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq (l3_lattices a) False)
% 11.02/11.16 (Or (Eq (v10_lattices a) False)
% 11.02/11.16 (Or (Eq (m2_filter_2 a_1 a) False) (Or (Eq (v3_struct_0 a) True) (Eq (v1_xboole_0 a_1) False))))
% 11.02/11.16 Clause #385 (by superposition #[384, 52]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq (v10_lattices (skS.0 0 a)) False)
% 11.02/11.16 (Or (Eq (m2_filter_2 a_1 (skS.0 0 a)) False)
% 11.02/11.16 (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Or (Eq (v1_xboole_0 a_1) False) (Eq False True))))
% 11.02/11.16 Clause #425 (by clausification #[343]): ∀ (a a_1 a_2 : Iota),
% 11.02/11.16 Or (Eq (v1_xboole_0 a) True)
% 11.02/11.16 (Or (Eq (m1_subset_1 (skS.0 7 a a_1) a_2) True) (Eq (m1_subset_1 a (k1_zfmisc_1 a_2)) False))
% 11.02/11.16 Clause #447 (by clausification #[332]): ∀ (a a_1 a_2 : Iota), Eq (And (m1_subset_1 a (u1_struct_0 (skS.0 0 a_1))) (r2_hidden a (skS.0 16 a_1 a_2))) False
% 11.02/11.16 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 : Iota),
% 11.02/11.16 Or (Eq (m1_subset_1 a (u1_struct_0 (skS.0 0 a_1))) False) (Eq (r2_hidden a (skS.0 16 a_1 a_2)) False)
% 11.02/11.16 Clause #539 (by clausification #[166]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq (v10_lattices (skS.0 0 a)) False)
% 11.02/11.16 (Or (Eq (m2_lattice4 a_1 (skS.0 0 a)) False)
% 11.02/11.16 (Or (Eq (m1_subset_1 a_1 (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True) (Eq (v3_struct_0 (skS.0 0 a)) True)))
% 11.02/11.16 Clause #540 (by forward demodulation #[539, 351]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq True False)
% 11.02/11.16 (Or (Eq (m2_lattice4 a (skS.0 0 a_1)) False)
% 11.02/11.16 (Or (Eq (m1_subset_1 a (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a_1)))) True) (Eq (v3_struct_0 (skS.0 0 a_1)) True)))
% 11.02/11.16 Clause #541 (by clausification #[540]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq (m2_lattice4 a (skS.0 0 a_1)) False)
% 11.02/11.16 (Or (Eq (m1_subset_1 a (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a_1)))) True) (Eq (v3_struct_0 (skS.0 0 a_1)) True))
% 11.02/11.16 Clause #542 (by forward demodulation #[541, 353]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq (m2_lattice4 a (skS.0 0 a_1)) False)
% 11.02/11.16 (Or (Eq (m1_subset_1 a (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a_1)))) True) (Eq False True))
% 11.02/11.16 Clause #543 (by clausification #[542]): ∀ (a a_1 : Iota),
% 11.02/11.16 Or (Eq (m2_lattice4 a (skS.0 0 a_1)) False) (Eq (m1_subset_1 a (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a_1)))) True)
% 11.05/11.19 Clause #564 (by clausification #[385]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq (v10_lattices (skS.0 0 a)) False)
% 11.05/11.19 (Or (Eq (m2_filter_2 a_1 (skS.0 0 a)) False) (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq (v1_xboole_0 a_1) False)))
% 11.05/11.19 Clause #565 (by forward demodulation #[564, 351]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq True False)
% 11.05/11.19 (Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False) (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (v1_xboole_0 a) False)))
% 11.05/11.19 Clause #566 (by clausification #[565]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False) (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (v1_xboole_0 a) False))
% 11.05/11.19 Clause #567 (by forward demodulation #[566, 353]): ∀ (a a_1 : Iota), Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False) (Or (Eq False True) (Eq (v1_xboole_0 a) False))
% 11.05/11.19 Clause #568 (by clausification #[567]): ∀ (a a_1 : Iota), Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False) (Eq (v1_xboole_0 a) False)
% 11.05/11.19 Clause #569 (by superposition #[568, 331]): ∀ (a a_1 : Iota), Or (Eq (v1_xboole_0 (skS.0 16 a a_1)) False) (Eq False True)
% 11.05/11.19 Clause #571 (by clausification #[569]): ∀ (a a_1 : Iota), Eq (v1_xboole_0 (skS.0 16 a a_1)) False
% 11.05/11.19 Clause #586 (by clausification #[188]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq (v10_lattices (skS.0 0 a)) False)
% 11.05/11.19 (Or (Eq (m2_filter_2 a_1 (skS.0 0 a)) False)
% 11.05/11.19 (Or (Eq (v3_struct_0 (skS.0 0 a)) True) (Eq (m2_lattice4 a_1 (skS.0 0 a)) True)))
% 11.05/11.19 Clause #587 (by forward demodulation #[586, 351]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq True False)
% 11.05/11.19 (Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False)
% 11.05/11.19 (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (m2_lattice4 a (skS.0 0 a_1)) True)))
% 11.05/11.19 Clause #588 (by clausification #[587]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False)
% 11.05/11.19 (Or (Eq (v3_struct_0 (skS.0 0 a_1)) True) (Eq (m2_lattice4 a (skS.0 0 a_1)) True))
% 11.05/11.19 Clause #589 (by forward demodulation #[588, 353]): ∀ (a a_1 : Iota),
% 11.05/11.19 Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False) (Or (Eq False True) (Eq (m2_lattice4 a (skS.0 0 a_1)) True))
% 11.05/11.19 Clause #590 (by clausification #[589]): ∀ (a a_1 : Iota), Or (Eq (m2_filter_2 a (skS.0 0 a_1)) False) (Eq (m2_lattice4 a (skS.0 0 a_1)) True)
% 11.05/11.19 Clause #591 (by superposition #[590, 331]): ∀ (a a_1 : Iota), Or (Eq (m2_lattice4 (skS.0 16 a a_1) (skS.0 0 a)) True) (Eq False True)
% 11.05/11.19 Clause #593 (by clausification #[591]): ∀ (a a_1 : Iota), Eq (m2_lattice4 (skS.0 16 a a_1) (skS.0 0 a)) True
% 11.05/11.19 Clause #594 (by superposition #[593, 543]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (m1_subset_1 (skS.0 16 a a_1) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True)
% 11.05/11.19 Clause #595 (by clausification #[594]): ∀ (a a_1 : Iota), Eq (m1_subset_1 (skS.0 16 a a_1) (k1_zfmisc_1 (u1_struct_0 (skS.0 0 a)))) True
% 11.05/11.19 Clause #600 (by superposition #[595, 425]): ∀ (a a_1 a_2 : Iota),
% 11.05/11.19 Or (Eq (v1_xboole_0 (skS.0 16 a a_1)) True)
% 11.05/11.19 (Or (Eq (m1_subset_1 (skS.0 7 (skS.0 16 a a_1) a_2) (u1_struct_0 (skS.0 0 a))) True) (Eq True False))
% 11.05/11.19 Clause #915 (by clausification #[600]): ∀ (a a_1 a_2 : Iota),
% 11.05/11.19 Or (Eq (v1_xboole_0 (skS.0 16 a a_1)) True)
% 11.05/11.19 (Eq (m1_subset_1 (skS.0 7 (skS.0 16 a a_1) a_2) (u1_struct_0 (skS.0 0 a))) True)
% 11.05/11.19 Clause #916 (by forward demodulation #[915, 571]): ∀ (a a_1 a_2 : Iota),
% 11.05/11.19 Or (Eq False True) (Eq (m1_subset_1 (skS.0 7 (skS.0 16 a a_1) a_2) (u1_struct_0 (skS.0 0 a))) True)
% 11.05/11.19 Clause #917 (by clausification #[916]): ∀ (a a_1 a_2 : Iota), Eq (m1_subset_1 (skS.0 7 (skS.0 16 a a_1) a_2) (u1_struct_0 (skS.0 0 a))) True
% 11.05/11.19 Clause #919 (by superposition #[917, 448]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (r2_hidden (skS.0 7 (skS.0 16 a a_1) a_2) (skS.0 16 a a_3)) False)
% 11.05/11.19 Clause #927 (by clausification #[919]): ∀ (a a_1 a_2 a_3 : Iota), Eq (r2_hidden (skS.0 7 (skS.0 16 a a_1) a_2) (skS.0 16 a a_3)) False
% 11.05/11.19 Clause #928 (by superposition #[927, 340]): ∀ (a a_1 : Iota), Or (Eq (v1_xboole_0 (skS.0 16 a a_1)) True) (Eq False True)
% 11.05/11.19 Clause #929 (by clausification #[928]): ∀ (a a_1 : Iota), Eq (v1_xboole_0 (skS.0 16 a a_1)) True
% 11.05/11.19 Clause #930 (by superposition #[929, 571]): Eq True False
% 11.05/11.19 Clause #937 (by clausification #[930]): False
% 11.05/11.19 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------